R version 2.13.0 (2011-04-13) Copyright (C) 2011 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i486-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(1958 + ,3 + ,315.71 + ,1958 + ,4 + ,317.45 + ,1958 + ,5 + ,317.5 + ,1958 + ,6 + ,317.12 + ,1958 + ,7 + ,315.86 + ,1958 + ,8 + ,314.93 + ,1958 + ,9 + ,313.2 + ,1958 + ,10 + ,312.6 + ,1958 + ,11 + ,313.33 + ,1958 + ,12 + ,314.67 + ,1959 + ,1 + ,315.62 + ,1959 + ,2 + ,316.38 + ,1959 + ,3 + ,316.71 + ,1959 + ,4 + ,317.72 + ,1959 + ,5 + ,318.29 + ,1959 + ,6 + ,318.16 + ,1959 + ,7 + ,316.55 + ,1959 + ,8 + ,314.8 + ,1959 + ,9 + ,313.84 + ,1959 + ,10 + ,313.26 + ,1959 + ,11 + ,314.8 + ,1959 + ,12 + ,315.59 + ,1960 + ,1 + ,316.43 + ,1960 + ,2 + ,316.97 + ,1960 + ,3 + ,317.58 + ,1960 + ,4 + ,319.02 + ,1960 + ,5 + ,320.02 + ,1960 + ,6 + ,319.59 + ,1960 + ,7 + ,318.18 + ,1960 + ,8 + ,315.91 + ,1960 + ,9 + ,314.16 + ,1960 + ,10 + ,313.83 + ,1960 + ,11 + ,315 + ,1960 + ,12 + ,316.19 + ,1961 + ,1 + ,316.93 + ,1961 + ,2 + ,317.7 + ,1961 + ,3 + ,318.54 + ,1961 + ,4 + ,319.48 + ,1961 + ,5 + ,320.58 + ,1961 + ,6 + ,319.77 + ,1961 + ,7 + ,318.58 + ,1961 + ,8 + 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+ ,6 + ,329.09 + ,1972 + ,7 + ,328.05 + ,1972 + ,8 + ,326.32 + ,1972 + ,9 + ,324.93 + ,1972 + ,10 + ,325.06 + ,1972 + ,11 + ,326.5 + ,1972 + ,12 + ,327.55 + ,1973 + ,1 + ,328.55 + ,1973 + ,2 + ,329.56 + ,1973 + ,3 + ,330.3 + ,1973 + ,4 + ,331.5 + ,1973 + ,5 + ,332.48 + ,1973 + ,6 + ,332.07 + ,1973 + ,7 + ,330.87 + ,1973 + ,8 + ,329.31 + ,1973 + ,9 + ,327.51 + ,1973 + ,10 + ,327.18 + ,1973 + ,11 + ,328.16 + ,1973 + ,12 + ,328.64 + ,1974 + ,1 + ,329.35 + ,1974 + ,2 + ,330.71 + ,1974 + ,3 + ,331.48 + ,1974 + ,4 + ,332.65 + ,1974 + ,5 + ,333.15 + ,1974 + ,6 + ,332.13 + ,1974 + ,7 + ,330.99 + ,1974 + ,8 + ,329.17 + ,1974 + ,9 + ,327.41 + ,1974 + ,10 + ,327.21 + ,1974 + ,11 + ,328.34 + ,1974 + ,12 + ,329.5 + ,1975 + ,1 + ,330.68 + ,1975 + ,2 + ,331.41 + ,1975 + ,3 + ,331.85 + ,1975 + ,4 + ,333.29 + ,1975 + ,5 + ,333.91 + ,1975 + ,6 + ,333.4 + ,1975 + ,7 + ,331.74 + ,1975 + ,8 + ,329.88 + ,1975 + ,9 + ,328.57 + ,1975 + ,10 + ,328.35 + ,1975 + ,11 + ,329.33 + ,1975 + ,12 + ,330.58 + ,1976 + ,1 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+ ,1979 + ,9 + ,333.93 + ,1979 + ,10 + ,334.12 + ,1979 + ,11 + ,335.26 + ,1979 + ,12 + ,336.77 + ,1980 + ,1 + ,337.8 + ,1980 + ,2 + ,338.28 + ,1980 + ,3 + ,340.04 + ,1980 + ,4 + ,340.86 + ,1980 + ,5 + ,341.47 + ,1980 + ,6 + ,341.26 + ,1980 + ,7 + ,339.34 + ,1980 + ,8 + ,337.45 + ,1980 + ,9 + ,336.1 + ,1980 + ,10 + ,336.05 + ,1980 + ,11 + ,337.21 + ,1980 + ,12 + ,338.29 + ,1981 + ,1 + ,339.36 + ,1981 + ,2 + ,340.51 + ,1981 + ,3 + ,341.57 + ,1981 + ,4 + ,342.56 + ,1981 + ,5 + ,343.01 + ,1981 + ,6 + ,342.52 + ,1981 + ,7 + ,340.71 + ,1981 + ,8 + ,338.51 + ,1981 + ,9 + ,336.96 + ,1981 + ,10 + ,337.13 + ,1981 + ,11 + ,338.58 + ,1981 + ,12 + ,339.91 + ,1982 + ,1 + ,340.92 + ,1982 + ,2 + ,341.69 + ,1982 + ,3 + ,342.87 + ,1982 + ,4 + ,343.83 + ,1982 + ,5 + ,344.3 + ,1982 + ,6 + ,343.42 + ,1982 + ,7 + ,341.85 + ,1982 + ,8 + ,339.82 + ,1982 + ,9 + ,337.98 + ,1982 + ,10 + ,338.09 + ,1982 + ,11 + ,339.24 + ,1982 + ,12 + ,340.67 + ,1983 + ,1 + ,341.42 + ,1983 + ,2 + ,342.67 + ,1983 + ,3 + ,343.45 + 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,376.15 + ,2004 + ,12 + ,377.51 + ,2005 + ,1 + ,378.43 + ,2005 + ,2 + ,379.7 + ,2005 + ,3 + ,380.91 + ,2005 + ,4 + ,382.2 + ,2005 + ,5 + ,382.45 + ,2005 + ,6 + ,382.14 + ,2005 + ,7 + ,380.6 + ,2005 + ,8 + ,378.6 + ,2005 + ,9 + ,376.72 + ,2005 + ,10 + ,376.98 + ,2005 + ,11 + ,378.29 + ,2005 + ,12 + ,380.07 + ,2006 + ,1 + ,381.36 + ,2006 + ,2 + ,382.19 + ,2006 + ,3 + ,382.65 + ,2006 + ,4 + ,384.65 + ,2006 + ,5 + ,384.94 + ,2006 + ,6 + ,384.01 + ,2006 + ,7 + ,382.15 + ,2006 + ,8 + ,380.33 + ,2006 + ,9 + ,378.81 + ,2006 + ,10 + ,379.06 + ,2006 + ,11 + ,380.17 + ,2006 + ,12 + ,381.85 + ,2007 + ,1 + ,382.88 + ,2007 + ,2 + ,383.77 + ,2007 + ,3 + ,384.42 + ,2007 + ,4 + ,386.36 + ,2007 + ,5 + ,386.53 + ,2007 + ,6 + ,386.01 + ,2007 + ,7 + ,384.45 + ,2007 + ,8 + ,381.96 + ,2007 + ,9 + ,380.81 + ,2007 + ,10 + ,381.09 + ,2007 + ,11 + ,382.37 + ,2007 + ,12 + ,383.84 + ,2008 + ,1 + ,385.42 + ,2008 + ,2 + ,385.72 + ,2008 + ,3 + ,385.96 + ,2008 + ,4 + ,387.18 + ,2008 + ,5 + ,388.5 + ,2008 + ,6 + ,387.88 + ,2008 + ,7 + ,386.38 + ,2008 + ,8 + ,384.15 + ,2008 + ,9 + ,383.07 + ,2008 + ,10 + ,382.98 + ,2008 + ,11 + ,384.11 + ,2008 + ,12 + ,385.54 + ,2009 + ,1 + ,386.92 + ,2009 + ,2 + ,387.41 + ,2009 + ,3 + ,388.77 + ,2009 + ,4 + ,389.46 + ,2009 + ,5 + ,390.18 + ,2009 + ,6 + ,389.43 + ,2009 + ,7 + ,387.74 + ,2009 + ,8 + ,385.91 + ,2009 + ,9 + ,384.77 + ,2009 + ,10 + ,384.38 + ,2009 + ,11 + ,385.99 + ,2009 + ,12 + ,387.26 + ,2010 + ,1 + ,388.45 + ,2010 + ,2 + ,389.7 + ,2010 + ,3 + ,391.08 + ,2010 + ,4 + ,392.46 + ,2010 + ,5 + ,392.96 + ,2010 + ,6 + ,392.03 + ,2010 + ,7 + ,390.13 + ,2010 + ,8 + ,388.15 + ,2010 + ,9 + ,386.8 + ,2010 + ,10 + ,387.18 + ,2010 + ,11 + ,388.59) + ,dim=c(3 + ,633) + ,dimnames=list(c('year' + ,'month' + ,'CO2') + ,1:633)) > y <- array(NA,dim=c(3,633),dimnames=list(c('year','month','CO2'),1:633)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '3' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > library(lmtest) Loading required package: zoo > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x CO2 year month 1 315.71 1958 3 2 317.45 1958 4 3 317.50 1958 5 4 317.12 1958 6 5 315.86 1958 7 6 314.93 1958 8 7 313.20 1958 9 8 312.60 1958 10 9 313.33 1958 11 10 314.67 1958 12 11 315.62 1959 1 12 316.38 1959 2 13 316.71 1959 3 14 317.72 1959 4 15 318.29 1959 5 16 318.16 1959 6 17 316.55 1959 7 18 314.80 1959 8 19 313.84 1959 9 20 313.26 1959 10 21 314.80 1959 11 22 315.59 1959 12 23 316.43 1960 1 24 316.97 1960 2 25 317.58 1960 3 26 319.02 1960 4 27 320.02 1960 5 28 319.59 1960 6 29 318.18 1960 7 30 315.91 1960 8 31 314.16 1960 9 32 313.83 1960 10 33 315.00 1960 11 34 316.19 1960 12 35 316.93 1961 1 36 317.70 1961 2 37 318.54 1961 3 38 319.48 1961 4 39 320.58 1961 5 40 319.77 1961 6 41 318.58 1961 7 42 316.79 1961 8 43 314.80 1961 9 44 315.38 1961 10 45 316.10 1961 11 46 317.01 1961 12 47 317.94 1962 1 48 318.55 1962 2 49 319.68 1962 3 50 320.63 1962 4 51 321.01 1962 5 52 320.55 1962 6 53 319.58 1962 7 54 317.40 1962 8 55 316.26 1962 9 56 315.42 1962 10 57 316.69 1962 11 58 317.70 1962 12 59 318.74 1963 1 60 319.08 1963 2 61 319.86 1963 3 62 321.39 1963 4 63 322.24 1963 5 64 321.47 1963 6 65 319.74 1963 7 66 317.77 1963 8 67 316.21 1963 9 68 315.99 1963 10 69 317.12 1963 11 70 318.31 1963 12 71 319.57 1964 1 72 320.08 1964 2 73 320.75 1964 3 74 321.80 1964 4 75 322.24 1964 5 76 321.89 1964 6 77 320.44 1964 7 78 318.70 1964 8 79 316.70 1964 9 80 316.79 1964 10 81 317.79 1964 11 82 318.71 1964 12 83 319.44 1965 1 84 320.44 1965 2 85 320.89 1965 3 86 322.13 1965 4 87 322.16 1965 5 88 321.87 1965 6 89 321.39 1965 7 90 318.80 1965 8 91 317.81 1965 9 92 317.30 1965 10 93 318.87 1965 11 94 319.42 1965 12 95 320.62 1966 1 96 321.59 1966 2 97 322.39 1966 3 98 323.87 1966 4 99 324.01 1966 5 100 323.75 1966 6 101 322.40 1966 7 102 320.37 1966 8 103 318.64 1966 9 104 318.10 1966 10 105 319.78 1966 11 106 321.08 1966 12 107 322.06 1967 1 108 322.50 1967 2 109 323.04 1967 3 110 324.42 1967 4 111 325.00 1967 5 112 324.09 1967 6 113 322.55 1967 7 114 320.92 1967 8 115 319.31 1967 9 116 319.31 1967 10 117 320.72 1967 11 118 321.96 1967 12 119 322.57 1968 1 120 323.15 1968 2 121 323.89 1968 3 122 325.02 1968 4 123 325.57 1968 5 124 325.36 1968 6 125 324.14 1968 7 126 322.03 1968 8 127 320.41 1968 9 128 320.25 1968 10 129 321.31 1968 11 130 322.84 1968 12 131 324.00 1969 1 132 324.42 1969 2 133 325.64 1969 3 134 326.66 1969 4 135 327.34 1969 5 136 326.76 1969 6 137 325.88 1969 7 138 323.67 1969 8 139 322.38 1969 9 140 321.78 1969 10 141 322.85 1969 11 142 324.12 1969 12 143 325.03 1970 1 144 325.99 1970 2 145 326.87 1970 3 146 328.14 1970 4 147 328.07 1970 5 148 327.66 1970 6 149 326.35 1970 7 150 324.69 1970 8 151 323.10 1970 9 152 323.16 1970 10 153 323.98 1970 11 154 325.13 1970 12 155 326.17 1971 1 156 326.68 1971 2 157 327.18 1971 3 158 327.78 1971 4 159 328.92 1971 5 160 328.57 1971 6 161 327.34 1971 7 162 325.46 1971 8 163 323.36 1971 9 164 323.56 1971 10 165 324.80 1971 11 166 326.01 1971 12 167 326.77 1972 1 168 327.63 1972 2 169 327.75 1972 3 170 329.72 1972 4 171 330.07 1972 5 172 329.09 1972 6 173 328.05 1972 7 174 326.32 1972 8 175 324.93 1972 9 176 325.06 1972 10 177 326.50 1972 11 178 327.55 1972 12 179 328.55 1973 1 180 329.56 1973 2 181 330.30 1973 3 182 331.50 1973 4 183 332.48 1973 5 184 332.07 1973 6 185 330.87 1973 7 186 329.31 1973 8 187 327.51 1973 9 188 327.18 1973 10 189 328.16 1973 11 190 328.64 1973 12 191 329.35 1974 1 192 330.71 1974 2 193 331.48 1974 3 194 332.65 1974 4 195 333.15 1974 5 196 332.13 1974 6 197 330.99 1974 7 198 329.17 1974 8 199 327.41 1974 9 200 327.21 1974 10 201 328.34 1974 11 202 329.50 1974 12 203 330.68 1975 1 204 331.41 1975 2 205 331.85 1975 3 206 333.29 1975 4 207 333.91 1975 5 208 333.40 1975 6 209 331.74 1975 7 210 329.88 1975 8 211 328.57 1975 9 212 328.35 1975 10 213 329.33 1975 11 214 330.58 1975 12 215 331.66 1976 1 216 332.75 1976 2 217 333.46 1976 3 218 334.78 1976 4 219 334.79 1976 5 220 334.05 1976 6 221 332.95 1976 7 222 330.64 1976 8 223 328.96 1976 9 224 328.77 1976 10 225 330.18 1976 11 226 331.65 1976 12 227 332.69 1977 1 228 333.23 1977 2 229 334.97 1977 3 230 336.03 1977 4 231 336.82 1977 5 232 336.10 1977 6 233 334.79 1977 7 234 332.53 1977 8 235 331.19 1977 9 236 331.21 1977 10 237 332.35 1977 11 238 333.47 1977 12 239 335.09 1978 1 240 335.26 1978 2 241 336.62 1978 3 242 337.77 1978 4 243 338.00 1978 5 244 337.98 1978 6 245 336.48 1978 7 246 334.37 1978 8 247 332.33 1978 9 248 332.40 1978 10 249 333.76 1978 11 250 334.83 1978 12 251 336.21 1979 1 252 336.64 1979 2 253 338.13 1979 3 254 338.96 1979 4 255 339.02 1979 5 256 339.20 1979 6 257 337.60 1979 7 258 335.56 1979 8 259 333.93 1979 9 260 334.12 1979 10 261 335.26 1979 11 262 336.77 1979 12 263 337.80 1980 1 264 338.28 1980 2 265 340.04 1980 3 266 340.86 1980 4 267 341.47 1980 5 268 341.26 1980 6 269 339.34 1980 7 270 337.45 1980 8 271 336.10 1980 9 272 336.05 1980 10 273 337.21 1980 11 274 338.29 1980 12 275 339.36 1981 1 276 340.51 1981 2 277 341.57 1981 3 278 342.56 1981 4 279 343.01 1981 5 280 342.52 1981 6 281 340.71 1981 7 282 338.51 1981 8 283 336.96 1981 9 284 337.13 1981 10 285 338.58 1981 11 286 339.91 1981 12 287 340.92 1982 1 288 341.69 1982 2 289 342.87 1982 3 290 343.83 1982 4 291 344.30 1982 5 292 343.42 1982 6 293 341.85 1982 7 294 339.82 1982 8 295 337.98 1982 9 296 338.09 1982 10 297 339.24 1982 11 298 340.67 1982 12 299 341.42 1983 1 300 342.67 1983 2 301 343.45 1983 3 302 345.08 1983 4 303 345.76 1983 5 304 345.32 1983 6 305 343.93 1983 7 306 342.08 1983 8 307 340.00 1983 9 308 340.12 1983 10 309 341.35 1983 11 310 342.89 1983 12 311 343.87 1984 1 312 344.59 1984 2 313 345.29 1984 3 314 346.59 1984 4 315 347.36 1984 5 316 346.80 1984 6 317 345.37 1984 7 318 343.06 1984 8 319 341.24 1984 9 320 341.54 1984 10 321 342.90 1984 11 322 344.36 1984 12 323 345.08 1985 1 324 345.89 1985 2 325 347.49 1985 3 326 348.02 1985 4 327 348.75 1985 5 328 348.19 1985 6 329 346.49 1985 7 330 344.70 1985 8 331 343.04 1985 9 332 342.92 1985 10 333 344.22 1985 11 334 345.61 1985 12 335 346.42 1986 1 336 346.95 1986 2 337 347.88 1986 3 338 349.57 1986 4 339 350.35 1986 5 340 349.70 1986 6 341 347.78 1986 7 342 345.89 1986 8 343 344.88 1986 9 344 344.34 1986 10 345 345.67 1986 11 346 346.89 1986 12 347 348.20 1987 1 348 348.55 1987 2 349 349.56 1987 3 350 351.12 1987 4 351 351.84 1987 5 352 351.45 1987 6 353 349.77 1987 7 354 347.62 1987 8 355 346.37 1987 9 356 346.48 1987 10 357 347.80 1987 11 358 349.03 1987 12 359 350.23 1988 1 360 351.58 1988 2 361 352.22 1988 3 362 353.53 1988 4 363 354.14 1988 5 364 353.64 1988 6 365 352.53 1988 7 366 350.42 1988 8 367 348.84 1988 9 368 348.94 1988 10 369 349.99 1988 11 370 351.29 1988 12 371 352.72 1989 1 372 353.10 1989 2 373 353.64 1989 3 374 355.43 1989 4 375 355.70 1989 5 376 355.11 1989 6 377 353.79 1989 7 378 351.42 1989 8 379 349.83 1989 9 380 350.10 1989 10 381 351.26 1989 11 382 352.66 1989 12 383 353.63 1990 1 384 354.72 1990 2 385 355.49 1990 3 386 356.10 1990 4 387 357.08 1990 5 388 356.11 1990 6 389 354.67 1990 7 390 352.67 1990 8 391 351.05 1990 9 392 351.36 1990 10 393 352.81 1990 11 394 354.21 1990 12 395 354.87 1991 1 396 355.67 1991 2 397 357.00 1991 3 398 358.40 1991 4 399 359.00 1991 5 400 357.99 1991 6 401 355.96 1991 7 402 353.78 1991 8 403 352.20 1991 9 404 352.22 1991 10 405 353.70 1991 11 406 354.98 1991 12 407 356.08 1992 1 408 356.84 1992 2 409 357.73 1992 3 410 358.91 1992 4 411 359.45 1992 5 412 359.19 1992 6 413 356.72 1992 7 414 354.77 1992 8 415 352.80 1992 9 416 353.21 1992 10 417 354.15 1992 11 418 355.39 1992 12 419 356.76 1993 1 420 357.17 1993 2 421 358.26 1993 3 422 359.17 1993 4 423 360.07 1993 5 424 359.41 1993 6 425 357.36 1993 7 426 355.29 1993 8 427 353.96 1993 9 428 354.03 1993 10 429 355.27 1993 11 430 356.70 1993 12 431 358.05 1994 1 432 358.80 1994 2 433 359.67 1994 3 434 361.13 1994 4 435 361.48 1994 5 436 360.60 1994 6 437 359.20 1994 7 438 357.23 1994 8 439 355.42 1994 9 440 355.89 1994 10 441 357.41 1994 11 442 358.74 1994 12 443 359.73 1995 1 444 360.61 1995 2 445 361.60 1995 3 446 363.05 1995 4 447 363.62 1995 5 448 363.03 1995 6 449 361.55 1995 7 450 358.94 1995 8 451 357.93 1995 9 452 357.80 1995 10 453 359.22 1995 11 454 360.42 1995 12 455 361.83 1996 1 456 362.94 1996 2 457 363.91 1996 3 458 364.28 1996 4 459 364.93 1996 5 460 364.70 1996 6 461 363.31 1996 7 462 361.15 1996 8 463 359.41 1996 9 464 359.34 1996 10 465 360.62 1996 11 466 361.96 1996 12 467 362.81 1997 1 468 363.87 1997 2 469 364.25 1997 3 470 366.02 1997 4 471 366.47 1997 5 472 365.37 1997 6 473 364.10 1997 7 474 361.89 1997 8 475 360.05 1997 9 476 360.49 1997 10 477 362.21 1997 11 478 364.12 1997 12 479 365.00 1998 1 480 365.82 1998 2 481 366.95 1998 3 482 368.42 1998 4 483 369.33 1998 5 484 368.78 1998 6 485 367.59 1998 7 486 365.81 1998 8 487 363.83 1998 9 488 364.18 1998 10 489 365.36 1998 11 490 366.88 1998 12 491 367.97 1999 1 492 368.83 1999 2 493 369.46 1999 3 494 370.77 1999 4 495 370.66 1999 5 496 370.10 1999 6 497 369.10 1999 7 498 366.70 1999 8 499 364.61 1999 9 500 365.17 1999 10 501 366.51 1999 11 502 367.86 1999 12 503 369.07 2000 1 504 369.32 2000 2 505 370.38 2000 3 506 371.63 2000 4 507 371.32 2000 5 508 371.51 2000 6 509 369.69 2000 7 510 368.18 2000 8 511 366.87 2000 9 512 366.94 2000 10 513 368.27 2000 11 514 369.62 2000 12 515 370.47 2001 1 516 371.44 2001 2 517 372.39 2001 3 518 373.32 2001 4 519 373.77 2001 5 520 373.13 2001 6 521 371.51 2001 7 522 369.59 2001 8 523 368.12 2001 9 524 368.38 2001 10 525 369.64 2001 11 526 371.11 2001 12 527 372.38 2002 1 528 373.08 2002 2 529 373.87 2002 3 530 374.93 2002 4 531 375.58 2002 5 532 375.44 2002 6 533 373.91 2002 7 534 371.77 2002 8 535 370.72 2002 9 536 370.50 2002 10 537 372.19 2002 11 538 373.71 2002 12 539 374.92 2003 1 540 375.63 2003 2 541 376.51 2003 3 542 377.75 2003 4 543 378.54 2003 5 544 378.21 2003 6 545 376.65 2003 7 546 374.28 2003 8 547 373.12 2003 9 548 373.10 2003 10 549 374.67 2003 11 550 375.97 2003 12 551 377.03 2004 1 552 377.87 2004 2 553 378.88 2004 3 554 380.42 2004 4 555 380.62 2004 5 556 379.66 2004 6 557 377.48 2004 7 558 376.07 2004 8 559 374.10 2004 9 560 374.47 2004 10 561 376.15 2004 11 562 377.51 2004 12 563 378.43 2005 1 564 379.70 2005 2 565 380.91 2005 3 566 382.20 2005 4 567 382.45 2005 5 568 382.14 2005 6 569 380.60 2005 7 570 378.60 2005 8 571 376.72 2005 9 572 376.98 2005 10 573 378.29 2005 11 574 380.07 2005 12 575 381.36 2006 1 576 382.19 2006 2 577 382.65 2006 3 578 384.65 2006 4 579 384.94 2006 5 580 384.01 2006 6 581 382.15 2006 7 582 380.33 2006 8 583 378.81 2006 9 584 379.06 2006 10 585 380.17 2006 11 586 381.85 2006 12 587 382.88 2007 1 588 383.77 2007 2 589 384.42 2007 3 590 386.36 2007 4 591 386.53 2007 5 592 386.01 2007 6 593 384.45 2007 7 594 381.96 2007 8 595 380.81 2007 9 596 381.09 2007 10 597 382.37 2007 11 598 383.84 2007 12 599 385.42 2008 1 600 385.72 2008 2 601 385.96 2008 3 602 387.18 2008 4 603 388.50 2008 5 604 387.88 2008 6 605 386.38 2008 7 606 384.15 2008 8 607 383.07 2008 9 608 382.98 2008 10 609 384.11 2008 11 610 385.54 2008 12 611 386.92 2009 1 612 387.41 2009 2 613 388.77 2009 3 614 389.46 2009 4 615 390.18 2009 5 616 389.43 2009 6 617 387.74 2009 7 618 385.91 2009 8 619 384.77 2009 9 620 384.38 2009 10 621 385.99 2009 11 622 387.26 2009 12 623 388.45 2010 1 624 389.70 2010 2 625 391.08 2010 3 626 392.46 2010 4 627 392.96 2010 5 628 392.03 2010 6 629 390.13 2010 7 630 388.15 2010 8 631 386.80 2010 9 632 387.18 2010 10 633 388.59 2010 11 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) year month -2515.809 1.444 -0.266 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -5.4735 -2.3456 -0.4072 1.8711 8.3789 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -2.516e+03 1.590e+01 -158.267 < 2e-16 *** year 1.444e+00 8.009e-03 180.243 < 2e-16 *** month -2.660e-01 3.544e-02 -7.505 2.11e-13 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 3.068 on 630 degrees of freedom Multiple R-squared: 0.981, Adjusted R-squared: 0.981 F-statistic: 1.629e+04 on 2 and 630 DF, p-value: < 2.2e-16 > if (n > n25) { + kp3 <- k + 3 + nmkm3 <- n - k - 3 + gqarr <- array(NA, dim=c(nmkm3-kp3+1,3)) + numgqtests <- 0 + numsignificant1 <- 0 + numsignificant5 <- 0 + numsignificant10 <- 0 + for (mypoint in kp3:nmkm3) { + j <- 0 + numgqtests <- numgqtests + 1 + for (myalt in c('greater', 'two.sided', 'less')) { + j <- j + 1 + gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value + } + if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1 + } + gqarr + } [,1] [,2] [,3] [1,] 8.319892e-02 1.663978e-01 9.168011e-01 [2,] 6.612877e-02 1.322575e-01 9.338712e-01 [3,] 3.373141e-02 6.746282e-02 9.662686e-01 [4,] 1.366116e-02 2.732233e-02 9.863388e-01 [5,] 1.363555e-02 2.727110e-02 9.863644e-01 [6,] 5.427123e-03 1.085425e-02 9.945729e-01 [7,] 2.607672e-03 5.215344e-03 9.973923e-01 [8,] 1.478676e-03 2.957352e-03 9.985213e-01 [9,] 1.856986e-03 3.713972e-03 9.981430e-01 [10,] 2.894822e-03 5.789644e-03 9.971052e-01 [11,] 2.997857e-03 5.995714e-03 9.970021e-01 [12,] 1.489797e-03 2.979593e-03 9.985102e-01 [13,] 8.777695e-04 1.755539e-03 9.991222e-01 [14,] 6.145924e-04 1.229185e-03 9.993854e-01 [15,] 4.060664e-04 8.121328e-04 9.995939e-01 [16,] 2.150607e-04 4.301215e-04 9.997849e-01 [17,] 1.804292e-04 3.608584e-04 9.998196e-01 [18,] 1.289924e-04 2.579848e-04 9.998710e-01 [19,] 6.134902e-05 1.226980e-04 9.999387e-01 [20,] 3.139654e-05 6.279307e-05 9.999686e-01 [21,] 4.240619e-05 8.481238e-05 9.999576e-01 [22,] 1.340952e-04 2.681904e-04 9.998659e-01 [23,] 2.126924e-04 4.253847e-04 9.997873e-01 [24,] 1.459728e-04 2.919456e-04 9.998540e-01 [25,] 9.412330e-05 1.882466e-04 9.999059e-01 [26,] 1.144530e-04 2.289060e-04 9.998855e-01 [27,] 1.129978e-04 2.259957e-04 9.998870e-01 [28,] 6.467873e-05 1.293575e-04 9.999353e-01 [29,] 4.745770e-05 9.491541e-05 9.999525e-01 [30,] 4.981255e-05 9.962511e-05 9.999502e-01 [31,] 2.985362e-05 5.970723e-05 9.999701e-01 [32,] 1.756519e-05 3.513039e-05 9.999824e-01 [33,] 1.560035e-05 3.120070e-05 9.999844e-01 [34,] 3.196262e-05 6.392524e-05 9.999680e-01 [35,] 3.623205e-05 7.246411e-05 9.999638e-01 [36,] 2.572946e-05 5.145891e-05 9.999743e-01 [37,] 1.647119e-05 3.294238e-05 9.999835e-01 [38,] 1.978846e-05 3.957691e-05 9.999802e-01 [39,] 1.429178e-05 2.858356e-05 9.999857e-01 [40,] 8.746454e-06 1.749291e-05 9.999913e-01 [41,] 6.760307e-06 1.352061e-05 9.999932e-01 [42,] 6.536561e-06 1.307312e-05 9.999935e-01 [43,] 4.203516e-06 8.407031e-06 9.999958e-01 [44,] 2.774680e-06 5.549359e-06 9.999972e-01 [45,] 2.984837e-06 5.969673e-06 9.999970e-01 [46,] 4.511531e-06 9.023062e-06 9.999955e-01 [47,] 5.431285e-06 1.086257e-05 9.999946e-01 [48,] 4.450316e-06 8.900633e-06 9.999955e-01 [49,] 3.112676e-06 6.225351e-06 9.999969e-01 [50,] 2.786296e-06 5.572592e-06 9.999972e-01 [51,] 3.023627e-06 6.047255e-06 9.999970e-01 [52,] 1.978515e-06 3.957030e-06 9.999980e-01 [53,] 1.567950e-06 3.135900e-06 9.999984e-01 [54,] 1.601411e-06 3.202821e-06 9.999984e-01 [55,] 1.175239e-06 2.350478e-06 9.999988e-01 [56,] 7.509279e-07 1.501856e-06 9.999992e-01 [57,] 8.449413e-07 1.689883e-06 9.999992e-01 [58,] 1.942225e-06 3.884450e-06 9.999981e-01 [59,] 2.736977e-06 5.473955e-06 9.999973e-01 [60,] 2.039948e-06 4.079895e-06 9.999980e-01 [61,] 1.608950e-06 3.217900e-06 9.999984e-01 [62,] 2.104841e-06 4.209682e-06 9.999979e-01 [63,] 2.389384e-06 4.778768e-06 9.999976e-01 [64,] 1.683974e-06 3.367949e-06 9.999983e-01 [65,] 1.395777e-06 2.791554e-06 9.999986e-01 [66,] 1.339143e-06 2.678286e-06 9.999987e-01 [67,] 9.606451e-07 1.921290e-06 9.999990e-01 [68,] 6.573919e-07 1.314784e-06 9.999993e-01 [69,] 6.495443e-07 1.299089e-06 9.999994e-01 [70,] 9.210925e-07 1.842185e-06 9.999991e-01 [71,] 1.192811e-06 2.385623e-06 9.999988e-01 [72,] 9.429457e-07 1.885891e-06 9.999991e-01 [73,] 7.036069e-07 1.407214e-06 9.999993e-01 [74,] 9.790584e-07 1.958117e-06 9.999990e-01 [75,] 1.021215e-06 2.042431e-06 9.999990e-01 [76,] 7.325560e-07 1.465112e-06 9.999993e-01 [77,] 5.846024e-07 1.169205e-06 9.999994e-01 [78,] 8.430273e-07 1.686055e-06 9.999992e-01 [79,] 6.471877e-07 1.294375e-06 9.999994e-01 [80,] 4.460013e-07 8.920027e-07 9.999996e-01 [81,] 4.027989e-07 8.055979e-07 9.999996e-01 [82,] 4.091837e-07 8.183675e-07 9.999996e-01 [83,] 4.081992e-07 8.163983e-07 9.999996e-01 [84,] 3.722203e-07 7.444406e-07 9.999996e-01 [85,] 2.988123e-07 5.976247e-07 9.999997e-01 [86,] 2.975935e-07 5.951870e-07 9.999997e-01 [87,] 3.106217e-07 6.212435e-07 9.999997e-01 [88,] 2.201697e-07 4.403395e-07 9.999998e-01 [89,] 1.812746e-07 3.625492e-07 9.999998e-01 [90,] 1.820842e-07 3.641684e-07 9.999998e-01 [91,] 1.257387e-07 2.514775e-07 9.999999e-01 [92,] 9.262547e-08 1.852509e-07 9.999999e-01 [93,] 1.488327e-07 2.976655e-07 9.999999e-01 [94,] 3.024335e-07 6.048671e-07 9.999997e-01 [95,] 5.794805e-07 1.158961e-06 9.999994e-01 [96,] 5.902798e-07 1.180560e-06 9.999994e-01 [97,] 4.304363e-07 8.608727e-07 9.999996e-01 [98,] 4.197271e-07 8.394543e-07 9.999996e-01 [99,] 4.343711e-07 8.687421e-07 9.999996e-01 [100,] 3.178780e-07 6.357561e-07 9.999997e-01 [101,] 3.669502e-07 7.339005e-07 9.999996e-01 [102,] 3.012391e-07 6.024781e-07 9.999997e-01 [103,] 2.138384e-07 4.276768e-07 9.999998e-01 [104,] 1.549913e-07 3.099826e-07 9.999998e-01 [105,] 1.996948e-07 3.993896e-07 9.999998e-01 [106,] 4.309344e-07 8.618688e-07 9.999996e-01 [107,] 5.883125e-07 1.176625e-06 9.999994e-01 [108,] 4.839124e-07 9.678249e-07 9.999995e-01 [109,] 3.602405e-07 7.204811e-07 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3.851771e-02 [370,] 9.811545e-01 3.769110e-02 1.884555e-02 [371,] 9.905361e-01 1.892788e-02 9.463939e-03 [372,] 9.936259e-01 1.274817e-02 6.374087e-03 [373,] 9.932991e-01 1.340180e-02 6.700901e-03 [374,] 9.921780e-01 1.564395e-02 7.821973e-03 [375,] 9.911205e-01 1.775906e-02 8.879528e-03 [376,] 9.915560e-01 1.688800e-02 8.444000e-03 [377,] 9.947756e-01 1.044886e-02 5.224431e-03 [378,] 9.939152e-01 1.216959e-02 6.084797e-03 [379,] 9.937299e-01 1.254013e-02 6.270063e-03 [380,] 9.946926e-01 1.061482e-02 5.307412e-03 [381,] 9.965132e-01 6.973591e-03 3.486795e-03 [382,] 9.986610e-01 2.677915e-03 1.338957e-03 [383,] 9.993532e-01 1.293613e-03 6.468066e-04 [384,] 9.995282e-01 9.436265e-04 4.718132e-04 [385,] 9.994795e-01 1.041077e-03 5.205386e-04 [386,] 9.993600e-01 1.280044e-03 6.400221e-04 [387,] 9.992331e-01 1.533783e-03 7.668917e-04 [388,] 9.992987e-01 1.402549e-03 7.012745e-04 [389,] 9.996432e-01 7.135117e-04 3.567559e-04 [390,] 9.995608e-01 8.783693e-04 4.391847e-04 [391,] 9.995023e-01 9.954045e-04 4.977023e-04 [392,] 9.996032e-01 7.936854e-04 3.968427e-04 [393,] 9.998449e-01 3.102083e-04 1.551042e-04 [394,] 9.999682e-01 6.351195e-05 3.175597e-05 [395,] 9.999910e-01 1.802185e-05 9.010923e-06 [396,] 9.999938e-01 1.240227e-05 6.201133e-06 [397,] 9.999925e-01 1.491392e-05 7.456958e-06 [398,] 9.999902e-01 1.954624e-05 9.773122e-06 [399,] 9.999872e-01 2.557560e-05 1.278780e-05 [400,] 9.999868e-01 2.645115e-05 1.322558e-05 [401,] 9.999924e-01 1.525233e-05 7.626164e-06 [402,] 9.999900e-01 1.996865e-05 9.984324e-06 [403,] 9.999877e-01 2.453197e-05 1.226599e-05 [404,] 9.999882e-01 2.351007e-05 1.175503e-05 [405,] 9.999938e-01 1.239640e-05 6.198198e-06 [406,] 9.999981e-01 3.804017e-06 1.902008e-06 [407,] 9.999995e-01 1.039704e-06 5.198522e-07 [408,] 9.999995e-01 9.165617e-07 4.582808e-07 [409,] 9.999994e-01 1.213140e-06 6.065702e-07 [410,] 9.999992e-01 1.500388e-06 7.501939e-07 [411,] 9.999990e-01 2.008474e-06 1.004237e-06 [412,] 9.999987e-01 2.598844e-06 1.299422e-06 [413,] 9.999988e-01 2.316929e-06 1.158464e-06 [414,] 9.999986e-01 2.897329e-06 1.448664e-06 [415,] 9.999981e-01 3.861110e-06 1.930555e-06 [416,] 9.999976e-01 4.750386e-06 2.375193e-06 [417,] 9.999978e-01 4.308690e-06 2.154345e-06 [418,] 9.999989e-01 2.272655e-06 1.136327e-06 [419,] 9.999993e-01 1.428156e-06 7.140782e-07 [420,] 9.999992e-01 1.695575e-06 8.477877e-07 [421,] 9.999989e-01 2.256983e-06 1.128491e-06 [422,] 9.999988e-01 2.476838e-06 1.238419e-06 [423,] 9.999985e-01 2.914438e-06 1.457219e-06 [424,] 9.999980e-01 3.925702e-06 1.962851e-06 [425,] 9.999980e-01 3.994836e-06 1.997418e-06 [426,] 9.999977e-01 4.554491e-06 2.277245e-06 [427,] 9.999970e-01 5.974356e-06 2.987178e-06 [428,] 9.999962e-01 7.618653e-06 3.809326e-06 [429,] 9.999968e-01 6.317223e-06 3.158612e-06 [430,] 9.999980e-01 3.929081e-06 1.964540e-06 [431,] 9.999984e-01 3.174426e-06 1.587213e-06 [432,] 9.999982e-01 3.665669e-06 1.832835e-06 [433,] 9.999976e-01 4.886558e-06 2.443279e-06 [434,] 9.999976e-01 4.867829e-06 2.433915e-06 [435,] 9.999971e-01 5.767372e-06 2.883686e-06 [436,] 9.999962e-01 7.520794e-06 3.760397e-06 [437,] 9.999965e-01 6.956501e-06 3.478251e-06 [438,] 9.999962e-01 7.645147e-06 3.822574e-06 [439,] 9.999950e-01 9.907873e-06 4.953937e-06 [440,] 9.999939e-01 1.225569e-05 6.127844e-06 [441,] 9.999952e-01 9.515157e-06 4.757579e-06 [442,] 9.999976e-01 4.816818e-06 2.408409e-06 [443,] 9.999986e-01 2.806533e-06 1.403267e-06 [444,] 9.999986e-01 2.730728e-06 1.365364e-06 [445,] 9.999982e-01 3.634267e-06 1.817134e-06 [446,] 9.999978e-01 4.352214e-06 2.176107e-06 [447,] 9.999974e-01 5.286813e-06 2.643406e-06 [448,] 9.999966e-01 6.853189e-06 3.426595e-06 [449,] 9.999968e-01 6.445205e-06 3.222603e-06 [450,] 9.999962e-01 7.548070e-06 3.774035e-06 [451,] 9.999951e-01 9.851796e-06 4.925898e-06 [452,] 9.999945e-01 1.099277e-05 5.496383e-06 [453,] 9.999949e-01 1.025948e-05 5.129741e-06 [454,] 9.999967e-01 6.501416e-06 3.250708e-06 [455,] 9.999980e-01 3.946945e-06 1.973472e-06 [456,] 9.999981e-01 3.824670e-06 1.912335e-06 [457,] 9.999974e-01 5.129763e-06 2.564882e-06 [458,] 9.999971e-01 5.728681e-06 2.864341e-06 [459,] 9.999967e-01 6.588794e-06 3.294397e-06 [460,] 9.999956e-01 8.713511e-06 4.356755e-06 [461,] 9.999956e-01 8.849218e-06 4.424609e-06 [462,] 9.999959e-01 8.256526e-06 4.128263e-06 [463,] 9.999949e-01 1.024561e-05 5.122804e-06 [464,] 9.999934e-01 1.324996e-05 6.624981e-06 [465,] 9.999936e-01 1.273937e-05 6.369687e-06 [466,] 9.999954e-01 9.290452e-06 4.645226e-06 [467,] 9.999954e-01 9.197606e-06 4.598803e-06 [468,] 9.999943e-01 1.140156e-05 5.700778e-06 [469,] 9.999933e-01 1.344245e-05 6.721226e-06 [470,] 9.999954e-01 9.237221e-06 4.618611e-06 [471,] 9.999959e-01 8.102422e-06 4.051211e-06 [472,] 9.999948e-01 1.049697e-05 5.248487e-06 [473,] 9.999950e-01 9.950829e-06 4.975415e-06 [474,] 9.999952e-01 9.551777e-06 4.775888e-06 [475,] 9.999943e-01 1.148854e-05 5.744269e-06 [476,] 9.999929e-01 1.422565e-05 7.112824e-06 [477,] 9.999942e-01 1.159106e-05 5.795530e-06 [478,] 9.999974e-01 5.104897e-06 2.552449e-06 [479,] 9.999987e-01 2.536843e-06 1.268421e-06 [480,] 9.999990e-01 1.993278e-06 9.966390e-07 [481,] 9.999988e-01 2.481740e-06 1.240870e-06 [482,] 9.999985e-01 3.086987e-06 1.543493e-06 [483,] 9.999980e-01 4.067245e-06 2.033622e-06 [484,] 9.999976e-01 4.800041e-06 2.400021e-06 [485,] 9.999986e-01 2.872053e-06 1.436027e-06 [486,] 9.999982e-01 3.606711e-06 1.803356e-06 [487,] 9.999977e-01 4.632822e-06 2.316411e-06 [488,] 9.999974e-01 5.162929e-06 2.581465e-06 [489,] 9.999985e-01 3.082953e-06 1.541477e-06 [490,] 9.999992e-01 1.618852e-06 8.094262e-07 [491,] 9.999995e-01 9.706317e-07 4.853159e-07 [492,] 9.999996e-01 8.262334e-07 4.131167e-07 [493,] 9.999994e-01 1.138002e-06 5.690008e-07 [494,] 9.999994e-01 1.128357e-06 5.641785e-07 [495,] 9.999993e-01 1.379611e-06 6.898056e-07 [496,] 9.999991e-01 1.835107e-06 9.175534e-07 [497,] 9.999992e-01 1.608259e-06 8.041294e-07 [498,] 9.999991e-01 1.791504e-06 8.957520e-07 [499,] 9.999989e-01 2.196203e-06 1.098102e-06 [500,] 9.999986e-01 2.884300e-06 1.442150e-06 [501,] 9.999986e-01 2.723491e-06 1.361745e-06 [502,] 9.999987e-01 2.598712e-06 1.299356e-06 [503,] 9.999990e-01 2.034100e-06 1.017050e-06 [504,] 9.999987e-01 2.587052e-06 1.293526e-06 [505,] 9.999983e-01 3.455392e-06 1.727696e-06 [506,] 9.999981e-01 3.742476e-06 1.871238e-06 [507,] 9.999978e-01 4.326580e-06 2.163290e-06 [508,] 9.999971e-01 5.773550e-06 2.886775e-06 [509,] 9.999972e-01 5.517258e-06 2.758629e-06 [510,] 9.999975e-01 4.936384e-06 2.468192e-06 [511,] 9.999970e-01 6.026087e-06 3.013043e-06 [512,] 9.999961e-01 7.819598e-06 3.909799e-06 [513,] 9.999959e-01 8.253293e-06 4.126646e-06 [514,] 9.999967e-01 6.681091e-06 3.340545e-06 [515,] 9.999969e-01 6.210947e-06 3.105474e-06 [516,] 9.999960e-01 8.047109e-06 4.023555e-06 [517,] 9.999951e-01 9.720957e-06 4.860478e-06 [518,] 9.999961e-01 7.729994e-06 3.864997e-06 [519,] 9.999964e-01 7.201485e-06 3.600742e-06 [520,] 9.999953e-01 9.363772e-06 4.681886e-06 [521,] 9.999946e-01 1.082140e-05 5.410699e-06 [522,] 9.999957e-01 8.562029e-06 4.281015e-06 [523,] 9.999955e-01 9.089111e-06 4.544555e-06 [524,] 9.999942e-01 1.153981e-05 5.769903e-06 [525,] 9.999931e-01 1.387655e-05 6.938276e-06 [526,] 9.999934e-01 1.313918e-05 6.569589e-06 [527,] 9.999941e-01 1.175749e-05 5.878743e-06 [528,] 9.999926e-01 1.472356e-05 7.361778e-06 [529,] 9.999913e-01 1.735812e-05 8.679060e-06 [530,] 9.999921e-01 1.580782e-05 7.903911e-06 [531,] 9.999931e-01 1.388906e-05 6.944528e-06 [532,] 9.999909e-01 1.825585e-05 9.127924e-06 [533,] 9.999906e-01 1.885221e-05 9.426103e-06 [534,] 9.999917e-01 1.655980e-05 8.279899e-06 [535,] 9.999906e-01 1.881879e-05 9.409396e-06 [536,] 9.999879e-01 2.421849e-05 1.210925e-05 [537,] 9.999874e-01 2.526773e-05 1.263386e-05 [538,] 9.999915e-01 1.697413e-05 8.487064e-06 [539,] 9.999944e-01 1.125116e-05 5.625579e-06 [540,] 9.999938e-01 1.242974e-05 6.214868e-06 [541,] 9.999919e-01 1.618568e-05 8.092839e-06 [542,] 9.999916e-01 1.686715e-05 8.433574e-06 [543,] 9.999908e-01 1.831131e-05 9.155653e-06 [544,] 9.999877e-01 2.458845e-05 1.229422e-05 [545,] 9.999882e-01 2.352081e-05 1.176041e-05 [546,] 9.999892e-01 2.156275e-05 1.078137e-05 [547,] 9.999869e-01 2.620493e-05 1.310246e-05 [548,] 9.999828e-01 3.444863e-05 1.722431e-05 [549,] 9.999855e-01 2.891053e-05 1.445527e-05 [550,] 9.999908e-01 1.831941e-05 9.159707e-06 [551,] 9.999922e-01 1.565850e-05 7.829248e-06 [552,] 9.999891e-01 2.178317e-05 1.089159e-05 [553,] 9.999858e-01 2.839497e-05 1.419748e-05 [554,] 9.999904e-01 1.916763e-05 9.583816e-06 [555,] 9.999920e-01 1.604691e-05 8.023453e-06 [556,] 9.999889e-01 2.219068e-05 1.109534e-05 [557,] 9.999867e-01 2.652672e-05 1.326336e-05 [558,] 9.999915e-01 1.695838e-05 8.479189e-06 [559,] 9.999903e-01 1.938254e-05 9.691269e-06 [560,] 9.999866e-01 2.680683e-05 1.340341e-05 [561,] 9.999864e-01 2.712982e-05 1.356491e-05 [562,] 9.999895e-01 2.093465e-05 1.046732e-05 [563,] 9.999923e-01 1.548458e-05 7.742292e-06 [564,] 9.999905e-01 1.894459e-05 9.472296e-06 [565,] 9.999863e-01 2.733558e-05 1.366779e-05 [566,] 9.999880e-01 2.406341e-05 1.203171e-05 [567,] 9.999877e-01 2.465617e-05 1.232808e-05 [568,] 9.999821e-01 3.581035e-05 1.790518e-05 [569,] 9.999813e-01 3.733576e-05 1.866788e-05 [570,] 9.999812e-01 3.768060e-05 1.884030e-05 [571,] 9.999747e-01 5.060767e-05 2.530384e-05 [572,] 9.999634e-01 7.328342e-05 3.664171e-05 [573,] 9.999685e-01 6.306695e-05 3.153347e-05 [574,] 9.999824e-01 3.515585e-05 1.757793e-05 [575,] 9.999869e-01 2.622796e-05 1.311398e-05 [576,] 9.999817e-01 3.659901e-05 1.829950e-05 [577,] 9.999724e-01 5.520670e-05 2.760335e-05 [578,] 9.999723e-01 5.534626e-05 2.767313e-05 [579,] 9.999683e-01 6.336103e-05 3.168052e-05 [580,] 9.999515e-01 9.694913e-05 4.847456e-05 [581,] 9.999444e-01 1.112344e-04 5.561722e-05 [582,] 9.999513e-01 9.735089e-05 4.867545e-05 [583,] 9.999374e-01 1.251897e-04 6.259485e-05 [584,] 9.999052e-01 1.896410e-04 9.482048e-05 [585,] 9.999025e-01 1.950512e-04 9.752560e-05 [586,] 9.999286e-01 1.428414e-04 7.142069e-05 [587,] 9.999476e-01 1.047089e-04 5.235447e-05 [588,] 9.999325e-01 1.350460e-04 6.752302e-05 [589,] 9.998961e-01 2.077193e-04 1.038597e-04 [590,] 9.998868e-01 2.263099e-04 1.131550e-04 [591,] 9.998597e-01 2.805345e-04 1.402672e-04 [592,] 9.997693e-01 4.614670e-04 2.307335e-04 [593,] 9.997374e-01 5.252723e-04 2.626362e-04 [594,] 9.996838e-01 6.323764e-04 3.161882e-04 [595,] 9.995704e-01 8.591360e-04 4.295680e-04 [596,] 9.993597e-01 1.280608e-03 6.403038e-04 [597,] 9.990131e-01 1.973835e-03 9.869173e-04 [598,] 9.992033e-01 1.593456e-03 7.967279e-04 [599,] 9.993626e-01 1.274795e-03 6.373975e-04 [600,] 9.991755e-01 1.648912e-03 8.244560e-04 [601,] 9.986063e-01 2.787438e-03 1.393719e-03 [602,] 9.980732e-01 3.853589e-03 1.926795e-03 [603,] 9.974225e-01 5.154938e-03 2.577469e-03 [604,] 9.957215e-01 8.556936e-03 4.278468e-03 [605,] 9.947963e-01 1.040747e-02 5.203737e-03 [606,] 9.948553e-01 1.028949e-02 5.144743e-03 [607,] 9.940746e-01 1.185075e-02 5.925373e-03 [608,] 9.902361e-01 1.952771e-02 9.763855e-03 [609,] 9.848296e-01 3.034082e-02 1.517041e-02 [610,] 9.843346e-01 3.133075e-02 1.566538e-02 [611,] 9.842475e-01 3.150504e-02 1.575252e-02 [612,] 9.768146e-01 4.637085e-02 2.318542e-02 [613,] 9.610907e-01 7.781869e-02 3.890934e-02 [614,] 9.459296e-01 1.081408e-01 5.407038e-02 [615,] 9.411614e-01 1.176771e-01 5.883857e-02 [616,] 9.127655e-01 1.744689e-01 8.723447e-02 [617,] 8.613002e-01 2.773996e-01 1.386998e-01 [618,] 9.181320e-01 1.637359e-01 8.186796e-02 [619,] 9.530776e-01 9.384482e-02 4.692241e-02 [620,] 9.543043e-01 9.139146e-02 4.569573e-02 [621,] 9.010307e-01 1.979385e-01 9.896926e-02 [622,] 8.183321e-01 3.633359e-01 1.816679e-01 > postscript(file="/var/wessaorg/rcomp/tmp/139221321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2u51d1321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/324jf1321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4l3sa1321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5g2r51321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > qqline(mysum$resid) > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 633 Frequency = 1 1 2 3 4 5 6 5.666357339 7.672314205 7.988271071 7.874227937 6.880184802 6.216141668 7 8 9 10 11 12 4.752098534 4.418055399 5.414012265 7.019969131 3.600801989 4.626758855 13 14 15 16 17 18 5.222715721 6.498672587 7.334629452 7.470586318 6.126543184 4.642500050 19 20 21 22 23 24 3.948456915 3.634413781 5.440370647 6.496327512 2.967160371 3.773117237 25 26 27 28 29 30 4.649074103 6.355030968 7.620987834 7.456944700 6.312901565 4.308858431 31 32 33 34 35 36 2.824815297 2.760772163 4.196729028 5.652685894 2.023518753 3.059475618 37 38 39 40 41 42 4.165432484 5.371389350 6.737346216 6.193303081 5.269259947 3.745216813 43 44 45 46 47 48 2.021173679 2.867130544 3.853087410 5.029044276 1.589877134 2.465834000 49 50 51 52 53 54 3.861790866 5.077747731 5.723704597 5.529661463 4.825618329 2.911575194 55 56 57 58 59 60 2.037532060 1.463488926 2.999445792 4.275402657 0.946235516 1.552192382 61 62 63 64 65 66 2.598149247 4.394106113 5.510062979 5.006019845 3.541976710 1.837933576 67 68 69 70 71 72 0.543890442 0.589847307 1.985804173 3.441761039 0.332593897 1.108550763 73 74 75 76 77 78 2.044507629 3.360464495 4.066421360 3.982378226 2.798335092 1.324291958 79 80 81 82 83 84 -0.409751177 -0.053794311 1.212162555 2.398119420 -1.241047721 0.024909145 85 86 87 88 89 90 0.740866011 2.246822876 2.542779742 2.518736608 2.304693473 -0.019349661 91 92 93 94 95 96 -0.743392795 -0.987435929 0.848520936 1.664477802 -1.504689339 -0.268732474 97 98 99 100 101 102 0.797224392 2.543181258 2.949138124 2.955094989 1.871051855 0.107008721 103 104 105 106 107 108 -1.357034413 -1.631077548 0.314879318 1.880836184 -1.508330958 -0.802374092 109 110 111 112 113 114 0.003582774 1.649539639 2.495496505 1.851453371 0.577410237 -0.786632898 115 116 117 118 119 120 -2.130676032 -1.864719166 -0.188762300 1.317194565 -2.441972576 -1.596015710 121 122 123 124 125 126 -0.590058845 0.805898021 1.621854887 1.677811753 0.723768618 -1.120274516 127 128 129 130 131 132 -2.474317650 -2.368360785 -1.042403919 0.753552947 -2.455614195 -1.769657329 133 134 135 136 137 138 -0.283700463 1.002256403 1.948213268 1.634170134 1.020127000 -0.923916134 139 140 141 142 143 144 -1.947959269 -2.282002403 -0.946045537 0.589911328 -2.869255813 -1.643298947 145 146 147 148 149 150 -0.497342081 1.038614784 1.234571650 1.090528516 0.046485381 -1.347557753 151 152 153 154 155 156 -2.671600887 -2.345644021 -1.259687156 0.156269710 -3.172897431 -2.396940566 157 158 159 160 161 162 -1.630983700 -0.765026834 0.640930032 0.556886897 -0.407156237 -2.021199371 163 164 165 166 167 168 -3.855242505 -3.389285640 -1.883328774 -0.407371908 -4.016539050 -2.890582184 169 170 171 172 173 174 -2.504625318 -0.268668453 0.347288413 -0.366754721 -1.140797855 -2.604840990 175 176 177 178 179 180 -3.728884124 -3.332927258 -1.626970392 -0.311013527 -3.680180668 -2.404223802 181 182 183 184 185 186 -1.398266937 0.067689929 1.313646795 1.169603661 0.235560526 -1.058482608 187 188 189 190 191 192 -2.592525742 -2.656568877 -1.410612011 -0.664655145 -4.323822287 -2.697865421 193 194 195 196 197 198 -1.661908555 -0.225951689 0.540005176 -0.214037958 -1.088081092 -2.642124226 199 200 201 202 203 204 -4.136167361 -4.070210495 -2.674253629 -1.248296764 -4.437463905 -3.441507039 205 206 207 208 209 210 -2.735550173 -1.029593308 -0.143636442 -0.387679576 -1.781722711 -3.375765845 211 212 213 214 215 216 -4.419808979 -4.373852113 -3.127895248 -1.611938382 -4.901105523 -3.545148658 217 218 219 220 221 222 -2.569191792 -0.983234926 -0.707278060 -1.181321195 -2.015364329 -4.059407463 223 224 225 226 227 228 -5.473450598 -5.397493732 -3.721536866 -1.985580000 -5.314747142 -4.508790276 229 230 231 232 233 234 -2.502833410 -1.176876545 -0.120919679 -0.574962813 -1.619005947 -3.613049082 235 236 237 238 239 240 -4.687092216 -4.401135350 -2.995178484 -1.609221619 -4.358388760 -3.922431894 241 242 243 244 245 246 -2.296475029 -0.880518163 -0.384561297 -0.138604431 -1.372647566 -3.216690700 247 248 249 250 251 252 -4.990733834 -4.654776969 -3.028820103 -1.692863237 -4.682030379 -3.986073513 253 254 255 256 257 258 -2.230116647 -1.134159781 -0.808202916 -0.362246050 -1.696289184 -3.470332318 259 260 261 262 263 264 -4.834375453 -4.378418587 -2.972461721 -1.196504856 -4.535671997 -3.789715131 265 266 267 268 269 270 -1.763758265 -0.677801400 0.198155466 0.254112332 -1.399930803 -3.023973937 271 272 273 274 275 276 -4.108017071 -3.892060205 -2.466103340 -1.120146474 -4.419313615 -3.003356750 277 278 279 280 281 282 -1.677399884 -0.421443018 0.294513848 0.070470713 -1.473572421 -3.407615555 283 284 285 286 287 288 -4.691658690 -4.255701824 -2.539744958 -0.943788092 -4.302955234 -3.266998368 289 290 291 292 293 294 -1.821041502 -0.595084637 0.140872229 -0.473170905 -1.777214039 -3.541257174 295 296 297 298 299 300 -5.115300308 -4.739343442 -3.323386576 -1.627429711 -5.246596852 -3.730639986 301 302 303 304 305 306 -2.684683121 -0.788726255 0.157230611 -0.016812523 -1.140855658 -2.724898792 307 308 309 310 311 312 -4.538941926 -4.152985061 -2.657028195 -0.851071329 -4.240238471 -3.254281605 313 314 315 316 317 318 -2.288324739 -0.722367873 0.313588992 0.019545858 -1.144497276 -3.188540410 319 320 321 322 323 324 -4.742583545 -4.176626679 -2.550669813 -0.824712948 -4.473880089 -3.397923223 325 326 327 328 329 330 -1.531966357 -0.736009492 0.259947374 -0.034095760 -1.468138895 -2.992182029 331 332 333 334 335 336 -4.386225163 -4.240268297 -2.674311432 -1.018354566 -4.577521707 -3.781564842 337 338 339 340 341 342 -2.585607976 -0.629651110 0.416305756 0.032262621 -1.621780513 -3.245823647 343 344 345 346 347 348 -3.989866782 -4.263909916 -2.667953050 -1.181996184 -4.241163326 -3.625206460 349 350 351 352 353 354 -2.349249594 -0.523292729 0.462664137 0.338621003 -1.075422131 -2.959465266 355 356 357 358 359 360 -3.943508400 -3.567551534 -1.981594668 -0.485637803 -3.654804944 -2.038848078 361 362 363 364 365 366 -1.132891213 0.443065653 1.319022519 1.084979385 0.240936250 -1.603106884 367 368 369 370 371 372 -2.917150018 -2.551193153 -1.235236287 0.330720579 -2.608446563 -1.962489697 373 374 375 376 377 378 -1.156532831 0.899424035 1.435380900 1.111337766 0.057294632 -2.046748502 379 380 381 382 383 384 -3.370791637 -2.834834771 -1.408877905 0.257078960 -3.142088181 -1.786131315 385 386 387 388 389 390 -0.750174449 0.125782416 1.371739282 0.667696148 -0.506346987 -2.240390121 391 392 393 394 395 396 -3.594433255 -3.018476389 -1.302519524 0.363437342 -3.345729799 -2.279772934 397 398 399 400 401 402 -0.683816068 0.982140798 1.848097664 1.104054529 -0.659988605 -2.574031739 403 404 405 406 407 408 -3.888074874 -3.602118008 -1.856161142 -0.310204276 -3.579371418 -2.553414552 409 410 411 412 413 414 -1.397457686 0.048499179 0.854456045 0.860412911 -1.343630223 -3.027673358 415 416 417 418 419 420 -4.731716492 -4.055759626 -2.849802760 -1.343845895 -4.343013036 -3.667056170 421 422 423 424 425 426 -2.311099305 -1.135142439 0.030814427 -0.363228707 -2.147271842 -3.951314976 427 428 429 430 431 432 -5.015358110 -4.679401245 -3.173444379 -1.477487513 -4.496654655 -3.480697789 433 434 435 436 437 438 -2.344740923 -0.618784057 -0.002827192 -0.616870326 -1.750913460 -3.454956594 439 440 441 442 443 444 -4.998999729 -4.263042863 -2.477085997 -0.881129132 -4.260296273 -3.114339407 445 446 447 448 449 450 -1.858382541 -0.142425676 0.693531190 0.369488056 -0.844555079 -3.188598213 451 452 453 454 455 456 -3.932641347 -3.796684481 -2.110727616 -0.644770750 -3.603937891 -2.227981026 457 458 459 460 461 462 -0.992024160 -0.356067294 0.559889572 0.595846437 -0.528196697 -2.422239831 463 464 465 466 467 468 -3.896282966 -3.700326100 -2.154369234 -0.548412368 -4.067579510 -2.741622644 469 470 471 472 473 474 -2.095665778 -0.059708913 0.656247953 -0.177795181 -1.181838315 -3.125881450 475 476 477 478 479 480 -4.699924584 -3.993967718 -2.008010852 0.167946013 -3.321221128 -2.235264262 481 482 483 484 485 486 -0.839307397 0.896649469 2.072606335 1.788563200 0.864520066 -0.649523068 487 488 489 490 491 492 -2.363566202 -1.747609337 -0.301652471 1.484304395 -1.794862747 -0.668905881 493 494 495 496 497 498 0.227050985 1.803007851 1.958964716 1.664921582 0.930878448 -1.203164686 499 500 501 502 503 504 -3.027207821 -2.201250955 -0.595294089 1.020662776 -2.138504365 -1.622547499 505 506 507 508 509 510 -0.296590633 1.219366232 1.175323098 1.631279964 0.077236829 -1.166806305 511 512 513 514 515 516 -2.210849439 -1.874892573 -0.278935708 1.337021158 -2.182145983 -0.946189118 517 518 519 520 521 522 0.269767748 1.465724614 2.181681480 1.807638345 0.453595211 -1.200447923 523 524 525 526 527 528 -2.404491058 -1.878534192 -0.352577326 1.383379540 -1.715787602 -0.749830736 529 530 531 532 533 534 0.306126130 1.632082995 2.548039861 2.673996727 1.409953593 -0.464089542 535 536 537 538 539 540 -1.248132676 -1.202175810 0.753781056 2.539737921 -0.619429220 0.356527646 541 542 543 544 545 546 1.502484511 3.008441377 4.064398243 4.000355108 2.706311974 0.602268840 547 548 549 550 551 552 -0.291774294 -0.045817429 1.790139437 3.356096303 0.046929161 1.152886027 553 554 555 556 557 558 2.428842893 4.234799759 4.700756624 4.006713490 2.092670356 0.948627222 559 560 561 562 563 564 -0.755415913 -0.119459047 1.826497819 3.452454684 0.003287543 1.539244409 565 566 567 568 569 570 3.015201275 4.571158140 5.087115006 5.043071872 3.769028737 2.034985603 571 572 573 574 575 576 0.420942469 0.946899335 2.522856200 4.568813066 1.489645925 2.585602790 577 578 579 580 581 582 3.311559656 5.577516522 6.133473388 5.469430253 3.875387119 2.321343985 583 584 585 586 587 588 1.067300850 1.583257716 2.959214582 4.905171448 1.566004306 2.721961172 589 590 591 592 593 594 3.637918038 5.843874903 6.279831769 6.025788635 4.731745501 2.507702366 595 596 597 598 599 600 1.623659232 2.169616098 3.715572964 5.451529829 2.662362688 3.228319554 601 602 603 604 605 606 3.734276419 5.220233285 6.806190151 6.452147016 5.218103882 3.254060748 607 608 609 610 611 612 2.440017614 2.615974479 4.011931345 5.707888211 2.718721069 3.474677935 613 614 615 616 617 618 5.100634801 6.056591667 7.042548532 6.558505398 5.134462264 3.570419130 619 620 621 622 623 624 2.696375995 2.572332861 4.448289727 5.984246592 2.805079451 4.321036317 625 626 627 628 629 630 5.966993183 7.612950048 8.378906914 7.714863780 6.080820645 4.366777511 631 632 633 3.282734377 3.928691243 5.604648108 > postscript(file="/var/wessaorg/rcomp/tmp/6uk171321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 633 Frequency = 1 lag(myerror, k = 1) myerror 0 5.666357339 NA 1 7.672314205 5.666357339 2 7.988271071 7.672314205 3 7.874227937 7.988271071 4 6.880184802 7.874227937 5 6.216141668 6.880184802 6 4.752098534 6.216141668 7 4.418055399 4.752098534 8 5.414012265 4.418055399 9 7.019969131 5.414012265 10 3.600801989 7.019969131 11 4.626758855 3.600801989 12 5.222715721 4.626758855 13 6.498672587 5.222715721 14 7.334629452 6.498672587 15 7.470586318 7.334629452 16 6.126543184 7.470586318 17 4.642500050 6.126543184 18 3.948456915 4.642500050 19 3.634413781 3.948456915 20 5.440370647 3.634413781 21 6.496327512 5.440370647 22 2.967160371 6.496327512 23 3.773117237 2.967160371 24 4.649074103 3.773117237 25 6.355030968 4.649074103 26 7.620987834 6.355030968 27 7.456944700 7.620987834 28 6.312901565 7.456944700 29 4.308858431 6.312901565 30 2.824815297 4.308858431 31 2.760772163 2.824815297 32 4.196729028 2.760772163 33 5.652685894 4.196729028 34 2.023518753 5.652685894 35 3.059475618 2.023518753 36 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5.134462264 618 2.696375995 3.570419130 619 2.572332861 2.696375995 620 4.448289727 2.572332861 621 5.984246592 4.448289727 622 2.805079451 5.984246592 623 4.321036317 2.805079451 624 5.966993183 4.321036317 625 7.612950048 5.966993183 626 8.378906914 7.612950048 627 7.714863780 8.378906914 628 6.080820645 7.714863780 629 4.366777511 6.080820645 630 3.282734377 4.366777511 631 3.928691243 3.282734377 632 5.604648108 3.928691243 633 NA 5.604648108 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 7.672314205 5.666357339 [2,] 7.988271071 7.672314205 [3,] 7.874227937 7.988271071 [4,] 6.880184802 7.874227937 [5,] 6.216141668 6.880184802 [6,] 4.752098534 6.216141668 [7,] 4.418055399 4.752098534 [8,] 5.414012265 4.418055399 [9,] 7.019969131 5.414012265 [10,] 3.600801989 7.019969131 [11,] 4.626758855 3.600801989 [12,] 5.222715721 4.626758855 [13,] 6.498672587 5.222715721 [14,] 7.334629452 6.498672587 [15,] 7.470586318 7.334629452 [16,] 6.126543184 7.470586318 [17,] 4.642500050 6.126543184 [18,] 3.948456915 4.642500050 [19,] 3.634413781 3.948456915 [20,] 5.440370647 3.634413781 [21,] 6.496327512 5.440370647 [22,] 2.967160371 6.496327512 [23,] 3.773117237 2.967160371 [24,] 4.649074103 3.773117237 [25,] 6.355030968 4.649074103 [26,] 7.620987834 6.355030968 [27,] 7.456944700 7.620987834 [28,] 6.312901565 7.456944700 [29,] 4.308858431 6.312901565 [30,] 2.824815297 4.308858431 [31,] 2.760772163 2.824815297 [32,] 4.196729028 2.760772163 [33,] 5.652685894 4.196729028 [34,] 2.023518753 5.652685894 [35,] 3.059475618 2.023518753 [36,] 4.165432484 3.059475618 [37,] 5.371389350 4.165432484 [38,] 6.737346216 5.371389350 [39,] 6.193303081 6.737346216 [40,] 5.269259947 6.193303081 [41,] 3.745216813 5.269259947 [42,] 2.021173679 3.745216813 [43,] 2.867130544 2.021173679 [44,] 3.853087410 2.867130544 [45,] 5.029044276 3.853087410 [46,] 1.589877134 5.029044276 [47,] 2.465834000 1.589877134 [48,] 3.861790866 2.465834000 [49,] 5.077747731 3.861790866 [50,] 5.723704597 5.077747731 [51,] 5.529661463 5.723704597 [52,] 4.825618329 5.529661463 [53,] 2.911575194 4.825618329 [54,] 2.037532060 2.911575194 [55,] 1.463488926 2.037532060 [56,] 2.999445792 1.463488926 [57,] 4.275402657 2.999445792 [58,] 0.946235516 4.275402657 [59,] 1.552192382 0.946235516 [60,] 2.598149247 1.552192382 [61,] 4.394106113 2.598149247 [62,] 5.510062979 4.394106113 [63,] 5.006019845 5.510062979 [64,] 3.541976710 5.006019845 [65,] 1.837933576 3.541976710 [66,] 0.543890442 1.837933576 [67,] 0.589847307 0.543890442 [68,] 1.985804173 0.589847307 [69,] 3.441761039 1.985804173 [70,] 0.332593897 3.441761039 [71,] 1.108550763 0.332593897 [72,] 2.044507629 1.108550763 [73,] 3.360464495 2.044507629 [74,] 4.066421360 3.360464495 [75,] 3.982378226 4.066421360 [76,] 2.798335092 3.982378226 [77,] 1.324291958 2.798335092 [78,] -0.409751177 1.324291958 [79,] -0.053794311 -0.409751177 [80,] 1.212162555 -0.053794311 [81,] 2.398119420 1.212162555 [82,] -1.241047721 2.398119420 [83,] 0.024909145 -1.241047721 [84,] 0.740866011 0.024909145 [85,] 2.246822876 0.740866011 [86,] 2.542779742 2.246822876 [87,] 2.518736608 2.542779742 [88,] 2.304693473 2.518736608 [89,] -0.019349661 2.304693473 [90,] -0.743392795 -0.019349661 [91,] -0.987435929 -0.743392795 [92,] 0.848520936 -0.987435929 [93,] 1.664477802 0.848520936 [94,] -1.504689339 1.664477802 [95,] -0.268732474 -1.504689339 [96,] 0.797224392 -0.268732474 [97,] 2.543181258 0.797224392 [98,] 2.949138124 2.543181258 [99,] 2.955094989 2.949138124 [100,] 1.871051855 2.955094989 [101,] 0.107008721 1.871051855 [102,] -1.357034413 0.107008721 [103,] -1.631077548 -1.357034413 [104,] 0.314879318 -1.631077548 [105,] 1.880836184 0.314879318 [106,] -1.508330958 1.880836184 [107,] -0.802374092 -1.508330958 [108,] 0.003582774 -0.802374092 [109,] 1.649539639 0.003582774 [110,] 2.495496505 1.649539639 [111,] 1.851453371 2.495496505 [112,] 0.577410237 1.851453371 [113,] -0.786632898 0.577410237 [114,] -2.130676032 -0.786632898 [115,] -1.864719166 -2.130676032 [116,] -0.188762300 -1.864719166 [117,] 1.317194565 -0.188762300 [118,] -2.441972576 1.317194565 [119,] -1.596015710 -2.441972576 [120,] -0.590058845 -1.596015710 [121,] 0.805898021 -0.590058845 [122,] 1.621854887 0.805898021 [123,] 1.677811753 1.621854887 [124,] 0.723768618 1.677811753 [125,] -1.120274516 0.723768618 [126,] -2.474317650 -1.120274516 [127,] -2.368360785 -2.474317650 [128,] -1.042403919 -2.368360785 [129,] 0.753552947 -1.042403919 [130,] -2.455614195 0.753552947 [131,] -1.769657329 -2.455614195 [132,] -0.283700463 -1.769657329 [133,] 1.002256403 -0.283700463 [134,] 1.948213268 1.002256403 [135,] 1.634170134 1.948213268 [136,] 1.020127000 1.634170134 [137,] -0.923916134 1.020127000 [138,] -1.947959269 -0.923916134 [139,] -2.282002403 -1.947959269 [140,] -0.946045537 -2.282002403 [141,] 0.589911328 -0.946045537 [142,] -2.869255813 0.589911328 [143,] -1.643298947 -2.869255813 [144,] -0.497342081 -1.643298947 [145,] 1.038614784 -0.497342081 [146,] 1.234571650 1.038614784 [147,] 1.090528516 1.234571650 [148,] 0.046485381 1.090528516 [149,] -1.347557753 0.046485381 [150,] -2.671600887 -1.347557753 [151,] -2.345644021 -2.671600887 [152,] -1.259687156 -2.345644021 [153,] 0.156269710 -1.259687156 [154,] -3.172897431 0.156269710 [155,] -2.396940566 -3.172897431 [156,] -1.630983700 -2.396940566 [157,] -0.765026834 -1.630983700 [158,] 0.640930032 -0.765026834 [159,] 0.556886897 0.640930032 [160,] -0.407156237 0.556886897 [161,] -2.021199371 -0.407156237 [162,] -3.855242505 -2.021199371 [163,] -3.389285640 -3.855242505 [164,] -1.883328774 -3.389285640 [165,] -0.407371908 -1.883328774 [166,] -4.016539050 -0.407371908 [167,] -2.890582184 -4.016539050 [168,] -2.504625318 -2.890582184 [169,] -0.268668453 -2.504625318 [170,] 0.347288413 -0.268668453 [171,] -0.366754721 0.347288413 [172,] -1.140797855 -0.366754721 [173,] -2.604840990 -1.140797855 [174,] -3.728884124 -2.604840990 [175,] -3.332927258 -3.728884124 [176,] -1.626970392 -3.332927258 [177,] -0.311013527 -1.626970392 [178,] -3.680180668 -0.311013527 [179,] -2.404223802 -3.680180668 [180,] -1.398266937 -2.404223802 [181,] 0.067689929 -1.398266937 [182,] 1.313646795 0.067689929 [183,] 1.169603661 1.313646795 [184,] 0.235560526 1.169603661 [185,] -1.058482608 0.235560526 [186,] -2.592525742 -1.058482608 [187,] -2.656568877 -2.592525742 [188,] -1.410612011 -2.656568877 [189,] -0.664655145 -1.410612011 [190,] -4.323822287 -0.664655145 [191,] -2.697865421 -4.323822287 [192,] -1.661908555 -2.697865421 [193,] -0.225951689 -1.661908555 [194,] 0.540005176 -0.225951689 [195,] -0.214037958 0.540005176 [196,] -1.088081092 -0.214037958 [197,] -2.642124226 -1.088081092 [198,] -4.136167361 -2.642124226 [199,] -4.070210495 -4.136167361 [200,] -2.674253629 -4.070210495 [201,] -1.248296764 -2.674253629 [202,] -4.437463905 -1.248296764 [203,] -3.441507039 -4.437463905 [204,] -2.735550173 -3.441507039 [205,] -1.029593308 -2.735550173 [206,] -0.143636442 -1.029593308 [207,] -0.387679576 -0.143636442 [208,] -1.781722711 -0.387679576 [209,] -3.375765845 -1.781722711 [210,] -4.419808979 -3.375765845 [211,] -4.373852113 -4.419808979 [212,] -3.127895248 -4.373852113 [213,] -1.611938382 -3.127895248 [214,] -4.901105523 -1.611938382 [215,] -3.545148658 -4.901105523 [216,] -2.569191792 -3.545148658 [217,] -0.983234926 -2.569191792 [218,] -0.707278060 -0.983234926 [219,] -1.181321195 -0.707278060 [220,] -2.015364329 -1.181321195 [221,] -4.059407463 -2.015364329 [222,] -5.473450598 -4.059407463 [223,] -5.397493732 -5.473450598 [224,] -3.721536866 -5.397493732 [225,] -1.985580000 -3.721536866 [226,] -5.314747142 -1.985580000 [227,] -4.508790276 -5.314747142 [228,] -2.502833410 -4.508790276 [229,] -1.176876545 -2.502833410 [230,] -0.120919679 -1.176876545 [231,] -0.574962813 -0.120919679 [232,] -1.619005947 -0.574962813 [233,] -3.613049082 -1.619005947 [234,] -4.687092216 -3.613049082 [235,] -4.401135350 -4.687092216 [236,] -2.995178484 -4.401135350 [237,] -1.609221619 -2.995178484 [238,] -4.358388760 -1.609221619 [239,] -3.922431894 -4.358388760 [240,] -2.296475029 -3.922431894 [241,] -0.880518163 -2.296475029 [242,] -0.384561297 -0.880518163 [243,] -0.138604431 -0.384561297 [244,] -1.372647566 -0.138604431 [245,] -3.216690700 -1.372647566 [246,] -4.990733834 -3.216690700 [247,] -4.654776969 -4.990733834 [248,] -3.028820103 -4.654776969 [249,] -1.692863237 -3.028820103 [250,] -4.682030379 -1.692863237 [251,] -3.986073513 -4.682030379 [252,] -2.230116647 -3.986073513 [253,] -1.134159781 -2.230116647 [254,] -0.808202916 -1.134159781 [255,] -0.362246050 -0.808202916 [256,] -1.696289184 -0.362246050 [257,] -3.470332318 -1.696289184 [258,] -4.834375453 -3.470332318 [259,] -4.378418587 -4.834375453 [260,] -2.972461721 -4.378418587 [261,] -1.196504856 -2.972461721 [262,] -4.535671997 -1.196504856 [263,] -3.789715131 -4.535671997 [264,] -1.763758265 -3.789715131 [265,] -0.677801400 -1.763758265 [266,] 0.198155466 -0.677801400 [267,] 0.254112332 0.198155466 [268,] -1.399930803 0.254112332 [269,] -3.023973937 -1.399930803 [270,] -4.108017071 -3.023973937 [271,] -3.892060205 -4.108017071 [272,] -2.466103340 -3.892060205 [273,] -1.120146474 -2.466103340 [274,] -4.419313615 -1.120146474 [275,] -3.003356750 -4.419313615 [276,] -1.677399884 -3.003356750 [277,] -0.421443018 -1.677399884 [278,] 0.294513848 -0.421443018 [279,] 0.070470713 0.294513848 [280,] -1.473572421 0.070470713 [281,] -3.407615555 -1.473572421 [282,] -4.691658690 -3.407615555 [283,] -4.255701824 -4.691658690 [284,] -2.539744958 -4.255701824 [285,] -0.943788092 -2.539744958 [286,] -4.302955234 -0.943788092 [287,] -3.266998368 -4.302955234 [288,] -1.821041502 -3.266998368 [289,] -0.595084637 -1.821041502 [290,] 0.140872229 -0.595084637 [291,] -0.473170905 0.140872229 [292,] -1.777214039 -0.473170905 [293,] -3.541257174 -1.777214039 [294,] -5.115300308 -3.541257174 [295,] -4.739343442 -5.115300308 [296,] -3.323386576 -4.739343442 [297,] -1.627429711 -3.323386576 [298,] -5.246596852 -1.627429711 [299,] -3.730639986 -5.246596852 [300,] -2.684683121 -3.730639986 [301,] -0.788726255 -2.684683121 [302,] 0.157230611 -0.788726255 [303,] -0.016812523 0.157230611 [304,] -1.140855658 -0.016812523 [305,] -2.724898792 -1.140855658 [306,] -4.538941926 -2.724898792 [307,] -4.152985061 -4.538941926 [308,] -2.657028195 -4.152985061 [309,] -0.851071329 -2.657028195 [310,] -4.240238471 -0.851071329 [311,] -3.254281605 -4.240238471 [312,] -2.288324739 -3.254281605 [313,] -0.722367873 -2.288324739 [314,] 0.313588992 -0.722367873 [315,] 0.019545858 0.313588992 [316,] -1.144497276 0.019545858 [317,] -3.188540410 -1.144497276 [318,] -4.742583545 -3.188540410 [319,] -4.176626679 -4.742583545 [320,] -2.550669813 -4.176626679 [321,] -0.824712948 -2.550669813 [322,] -4.473880089 -0.824712948 [323,] -3.397923223 -4.473880089 [324,] -1.531966357 -3.397923223 [325,] -0.736009492 -1.531966357 [326,] 0.259947374 -0.736009492 [327,] -0.034095760 0.259947374 [328,] -1.468138895 -0.034095760 [329,] -2.992182029 -1.468138895 [330,] -4.386225163 -2.992182029 [331,] -4.240268297 -4.386225163 [332,] -2.674311432 -4.240268297 [333,] -1.018354566 -2.674311432 [334,] -4.577521707 -1.018354566 [335,] -3.781564842 -4.577521707 [336,] -2.585607976 -3.781564842 [337,] -0.629651110 -2.585607976 [338,] 0.416305756 -0.629651110 [339,] 0.032262621 0.416305756 [340,] -1.621780513 0.032262621 [341,] -3.245823647 -1.621780513 [342,] -3.989866782 -3.245823647 [343,] -4.263909916 -3.989866782 [344,] -2.667953050 -4.263909916 [345,] -1.181996184 -2.667953050 [346,] -4.241163326 -1.181996184 [347,] -3.625206460 -4.241163326 [348,] -2.349249594 -3.625206460 [349,] -0.523292729 -2.349249594 [350,] 0.462664137 -0.523292729 [351,] 0.338621003 0.462664137 [352,] -1.075422131 0.338621003 [353,] -2.959465266 -1.075422131 [354,] -3.943508400 -2.959465266 [355,] -3.567551534 -3.943508400 [356,] -1.981594668 -3.567551534 [357,] -0.485637803 -1.981594668 [358,] -3.654804944 -0.485637803 [359,] -2.038848078 -3.654804944 [360,] -1.132891213 -2.038848078 [361,] 0.443065653 -1.132891213 [362,] 1.319022519 0.443065653 [363,] 1.084979385 1.319022519 [364,] 0.240936250 1.084979385 [365,] -1.603106884 0.240936250 [366,] -2.917150018 -1.603106884 [367,] -2.551193153 -2.917150018 [368,] -1.235236287 -2.551193153 [369,] 0.330720579 -1.235236287 [370,] -2.608446563 0.330720579 [371,] -1.962489697 -2.608446563 [372,] -1.156532831 -1.962489697 [373,] 0.899424035 -1.156532831 [374,] 1.435380900 0.899424035 [375,] 1.111337766 1.435380900 [376,] 0.057294632 1.111337766 [377,] -2.046748502 0.057294632 [378,] -3.370791637 -2.046748502 [379,] -2.834834771 -3.370791637 [380,] -1.408877905 -2.834834771 [381,] 0.257078960 -1.408877905 [382,] -3.142088181 0.257078960 [383,] -1.786131315 -3.142088181 [384,] -0.750174449 -1.786131315 [385,] 0.125782416 -0.750174449 [386,] 1.371739282 0.125782416 [387,] 0.667696148 1.371739282 [388,] -0.506346987 0.667696148 [389,] -2.240390121 -0.506346987 [390,] -3.594433255 -2.240390121 [391,] -3.018476389 -3.594433255 [392,] -1.302519524 -3.018476389 [393,] 0.363437342 -1.302519524 [394,] -3.345729799 0.363437342 [395,] -2.279772934 -3.345729799 [396,] -0.683816068 -2.279772934 [397,] 0.982140798 -0.683816068 [398,] 1.848097664 0.982140798 [399,] 1.104054529 1.848097664 [400,] -0.659988605 1.104054529 [401,] -2.574031739 -0.659988605 [402,] -3.888074874 -2.574031739 [403,] -3.602118008 -3.888074874 [404,] -1.856161142 -3.602118008 [405,] -0.310204276 -1.856161142 [406,] -3.579371418 -0.310204276 [407,] -2.553414552 -3.579371418 [408,] -1.397457686 -2.553414552 [409,] 0.048499179 -1.397457686 [410,] 0.854456045 0.048499179 [411,] 0.860412911 0.854456045 [412,] -1.343630223 0.860412911 [413,] -3.027673358 -1.343630223 [414,] -4.731716492 -3.027673358 [415,] -4.055759626 -4.731716492 [416,] -2.849802760 -4.055759626 [417,] -1.343845895 -2.849802760 [418,] -4.343013036 -1.343845895 [419,] -3.667056170 -4.343013036 [420,] -2.311099305 -3.667056170 [421,] -1.135142439 -2.311099305 [422,] 0.030814427 -1.135142439 [423,] -0.363228707 0.030814427 [424,] -2.147271842 -0.363228707 [425,] -3.951314976 -2.147271842 [426,] -5.015358110 -3.951314976 [427,] -4.679401245 -5.015358110 [428,] -3.173444379 -4.679401245 [429,] -1.477487513 -3.173444379 [430,] -4.496654655 -1.477487513 [431,] -3.480697789 -4.496654655 [432,] -2.344740923 -3.480697789 [433,] -0.618784057 -2.344740923 [434,] -0.002827192 -0.618784057 [435,] -0.616870326 -0.002827192 [436,] -1.750913460 -0.616870326 [437,] -3.454956594 -1.750913460 [438,] -4.998999729 -3.454956594 [439,] -4.263042863 -4.998999729 [440,] -2.477085997 -4.263042863 [441,] -0.881129132 -2.477085997 [442,] -4.260296273 -0.881129132 [443,] -3.114339407 -4.260296273 [444,] -1.858382541 -3.114339407 [445,] -0.142425676 -1.858382541 [446,] 0.693531190 -0.142425676 [447,] 0.369488056 0.693531190 [448,] -0.844555079 0.369488056 [449,] -3.188598213 -0.844555079 [450,] -3.932641347 -3.188598213 [451,] -3.796684481 -3.932641347 [452,] -2.110727616 -3.796684481 [453,] -0.644770750 -2.110727616 [454,] -3.603937891 -0.644770750 [455,] -2.227981026 -3.603937891 [456,] -0.992024160 -2.227981026 [457,] -0.356067294 -0.992024160 [458,] 0.559889572 -0.356067294 [459,] 0.595846437 0.559889572 [460,] -0.528196697 0.595846437 [461,] -2.422239831 -0.528196697 [462,] -3.896282966 -2.422239831 [463,] -3.700326100 -3.896282966 [464,] -2.154369234 -3.700326100 [465,] -0.548412368 -2.154369234 [466,] -4.067579510 -0.548412368 [467,] -2.741622644 -4.067579510 [468,] -2.095665778 -2.741622644 [469,] -0.059708913 -2.095665778 [470,] 0.656247953 -0.059708913 [471,] -0.177795181 0.656247953 [472,] -1.181838315 -0.177795181 [473,] -3.125881450 -1.181838315 [474,] -4.699924584 -3.125881450 [475,] -3.993967718 -4.699924584 [476,] -2.008010852 -3.993967718 [477,] 0.167946013 -2.008010852 [478,] -3.321221128 0.167946013 [479,] -2.235264262 -3.321221128 [480,] -0.839307397 -2.235264262 [481,] 0.896649469 -0.839307397 [482,] 2.072606335 0.896649469 [483,] 1.788563200 2.072606335 [484,] 0.864520066 1.788563200 [485,] -0.649523068 0.864520066 [486,] -2.363566202 -0.649523068 [487,] -1.747609337 -2.363566202 [488,] -0.301652471 -1.747609337 [489,] 1.484304395 -0.301652471 [490,] -1.794862747 1.484304395 [491,] -0.668905881 -1.794862747 [492,] 0.227050985 -0.668905881 [493,] 1.803007851 0.227050985 [494,] 1.958964716 1.803007851 [495,] 1.664921582 1.958964716 [496,] 0.930878448 1.664921582 [497,] -1.203164686 0.930878448 [498,] -3.027207821 -1.203164686 [499,] -2.201250955 -3.027207821 [500,] -0.595294089 -2.201250955 [501,] 1.020662776 -0.595294089 [502,] -2.138504365 1.020662776 [503,] -1.622547499 -2.138504365 [504,] -0.296590633 -1.622547499 [505,] 1.219366232 -0.296590633 [506,] 1.175323098 1.219366232 [507,] 1.631279964 1.175323098 [508,] 0.077236829 1.631279964 [509,] -1.166806305 0.077236829 [510,] -2.210849439 -1.166806305 [511,] -1.874892573 -2.210849439 [512,] -0.278935708 -1.874892573 [513,] 1.337021158 -0.278935708 [514,] -2.182145983 1.337021158 [515,] -0.946189118 -2.182145983 [516,] 0.269767748 -0.946189118 [517,] 1.465724614 0.269767748 [518,] 2.181681480 1.465724614 [519,] 1.807638345 2.181681480 [520,] 0.453595211 1.807638345 [521,] -1.200447923 0.453595211 [522,] -2.404491058 -1.200447923 [523,] -1.878534192 -2.404491058 [524,] -0.352577326 -1.878534192 [525,] 1.383379540 -0.352577326 [526,] -1.715787602 1.383379540 [527,] -0.749830736 -1.715787602 [528,] 0.306126130 -0.749830736 [529,] 1.632082995 0.306126130 [530,] 2.548039861 1.632082995 [531,] 2.673996727 2.548039861 [532,] 1.409953593 2.673996727 [533,] -0.464089542 1.409953593 [534,] -1.248132676 -0.464089542 [535,] -1.202175810 -1.248132676 [536,] 0.753781056 -1.202175810 [537,] 2.539737921 0.753781056 [538,] -0.619429220 2.539737921 [539,] 0.356527646 -0.619429220 [540,] 1.502484511 0.356527646 [541,] 3.008441377 1.502484511 [542,] 4.064398243 3.008441377 [543,] 4.000355108 4.064398243 [544,] 2.706311974 4.000355108 [545,] 0.602268840 2.706311974 [546,] -0.291774294 0.602268840 [547,] -0.045817429 -0.291774294 [548,] 1.790139437 -0.045817429 [549,] 3.356096303 1.790139437 [550,] 0.046929161 3.356096303 [551,] 1.152886027 0.046929161 [552,] 2.428842893 1.152886027 [553,] 4.234799759 2.428842893 [554,] 4.700756624 4.234799759 [555,] 4.006713490 4.700756624 [556,] 2.092670356 4.006713490 [557,] 0.948627222 2.092670356 [558,] -0.755415913 0.948627222 [559,] -0.119459047 -0.755415913 [560,] 1.826497819 -0.119459047 [561,] 3.452454684 1.826497819 [562,] 0.003287543 3.452454684 [563,] 1.539244409 0.003287543 [564,] 3.015201275 1.539244409 [565,] 4.571158140 3.015201275 [566,] 5.087115006 4.571158140 [567,] 5.043071872 5.087115006 [568,] 3.769028737 5.043071872 [569,] 2.034985603 3.769028737 [570,] 0.420942469 2.034985603 [571,] 0.946899335 0.420942469 [572,] 2.522856200 0.946899335 [573,] 4.568813066 2.522856200 [574,] 1.489645925 4.568813066 [575,] 2.585602790 1.489645925 [576,] 3.311559656 2.585602790 [577,] 5.577516522 3.311559656 [578,] 6.133473388 5.577516522 [579,] 5.469430253 6.133473388 [580,] 3.875387119 5.469430253 [581,] 2.321343985 3.875387119 [582,] 1.067300850 2.321343985 [583,] 1.583257716 1.067300850 [584,] 2.959214582 1.583257716 [585,] 4.905171448 2.959214582 [586,] 1.566004306 4.905171448 [587,] 2.721961172 1.566004306 [588,] 3.637918038 2.721961172 [589,] 5.843874903 3.637918038 [590,] 6.279831769 5.843874903 [591,] 6.025788635 6.279831769 [592,] 4.731745501 6.025788635 [593,] 2.507702366 4.731745501 [594,] 1.623659232 2.507702366 [595,] 2.169616098 1.623659232 [596,] 3.715572964 2.169616098 [597,] 5.451529829 3.715572964 [598,] 2.662362688 5.451529829 [599,] 3.228319554 2.662362688 [600,] 3.734276419 3.228319554 [601,] 5.220233285 3.734276419 [602,] 6.806190151 5.220233285 [603,] 6.452147016 6.806190151 [604,] 5.218103882 6.452147016 [605,] 3.254060748 5.218103882 [606,] 2.440017614 3.254060748 [607,] 2.615974479 2.440017614 [608,] 4.011931345 2.615974479 [609,] 5.707888211 4.011931345 [610,] 2.718721069 5.707888211 [611,] 3.474677935 2.718721069 [612,] 5.100634801 3.474677935 [613,] 6.056591667 5.100634801 [614,] 7.042548532 6.056591667 [615,] 6.558505398 7.042548532 [616,] 5.134462264 6.558505398 [617,] 3.570419130 5.134462264 [618,] 2.696375995 3.570419130 [619,] 2.572332861 2.696375995 [620,] 4.448289727 2.572332861 [621,] 5.984246592 4.448289727 [622,] 2.805079451 5.984246592 [623,] 4.321036317 2.805079451 [624,] 5.966993183 4.321036317 [625,] 7.612950048 5.966993183 [626,] 8.378906914 7.612950048 [627,] 7.714863780 8.378906914 [628,] 6.080820645 7.714863780 [629,] 4.366777511 6.080820645 [630,] 3.282734377 4.366777511 [631,] 3.928691243 3.282734377 [632,] 5.604648108 3.928691243 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 7.672314205 5.666357339 2 7.988271071 7.672314205 3 7.874227937 7.988271071 4 6.880184802 7.874227937 5 6.216141668 6.880184802 6 4.752098534 6.216141668 7 4.418055399 4.752098534 8 5.414012265 4.418055399 9 7.019969131 5.414012265 10 3.600801989 7.019969131 11 4.626758855 3.600801989 12 5.222715721 4.626758855 13 6.498672587 5.222715721 14 7.334629452 6.498672587 15 7.470586318 7.334629452 16 6.126543184 7.470586318 17 4.642500050 6.126543184 18 3.948456915 4.642500050 19 3.634413781 3.948456915 20 5.440370647 3.634413781 21 6.496327512 5.440370647 22 2.967160371 6.496327512 23 3.773117237 2.967160371 24 4.649074103 3.773117237 25 6.355030968 4.649074103 26 7.620987834 6.355030968 27 7.456944700 7.620987834 28 6.312901565 7.456944700 29 4.308858431 6.312901565 30 2.824815297 4.308858431 31 2.760772163 2.824815297 32 4.196729028 2.760772163 33 5.652685894 4.196729028 34 2.023518753 5.652685894 35 3.059475618 2.023518753 36 4.165432484 3.059475618 37 5.371389350 4.165432484 38 6.737346216 5.371389350 39 6.193303081 6.737346216 40 5.269259947 6.193303081 41 3.745216813 5.269259947 42 2.021173679 3.745216813 43 2.867130544 2.021173679 44 3.853087410 2.867130544 45 5.029044276 3.853087410 46 1.589877134 5.029044276 47 2.465834000 1.589877134 48 3.861790866 2.465834000 49 5.077747731 3.861790866 50 5.723704597 5.077747731 51 5.529661463 5.723704597 52 4.825618329 5.529661463 53 2.911575194 4.825618329 54 2.037532060 2.911575194 55 1.463488926 2.037532060 56 2.999445792 1.463488926 57 4.275402657 2.999445792 58 0.946235516 4.275402657 59 1.552192382 0.946235516 60 2.598149247 1.552192382 61 4.394106113 2.598149247 62 5.510062979 4.394106113 63 5.006019845 5.510062979 64 3.541976710 5.006019845 65 1.837933576 3.541976710 66 0.543890442 1.837933576 67 0.589847307 0.543890442 68 1.985804173 0.589847307 69 3.441761039 1.985804173 70 0.332593897 3.441761039 71 1.108550763 0.332593897 72 2.044507629 1.108550763 73 3.360464495 2.044507629 74 4.066421360 3.360464495 75 3.982378226 4.066421360 76 2.798335092 3.982378226 77 1.324291958 2.798335092 78 -0.409751177 1.324291958 79 -0.053794311 -0.409751177 80 1.212162555 -0.053794311 81 2.398119420 1.212162555 82 -1.241047721 2.398119420 83 0.024909145 -1.241047721 84 0.740866011 0.024909145 85 2.246822876 0.740866011 86 2.542779742 2.246822876 87 2.518736608 2.542779742 88 2.304693473 2.518736608 89 -0.019349661 2.304693473 90 -0.743392795 -0.019349661 91 -0.987435929 -0.743392795 92 0.848520936 -0.987435929 93 1.664477802 0.848520936 94 -1.504689339 1.664477802 95 -0.268732474 -1.504689339 96 0.797224392 -0.268732474 97 2.543181258 0.797224392 98 2.949138124 2.543181258 99 2.955094989 2.949138124 100 1.871051855 2.955094989 101 0.107008721 1.871051855 102 -1.357034413 0.107008721 103 -1.631077548 -1.357034413 104 0.314879318 -1.631077548 105 1.880836184 0.314879318 106 -1.508330958 1.880836184 107 -0.802374092 -1.508330958 108 0.003582774 -0.802374092 109 1.649539639 0.003582774 110 2.495496505 1.649539639 111 1.851453371 2.495496505 112 0.577410237 1.851453371 113 -0.786632898 0.577410237 114 -2.130676032 -0.786632898 115 -1.864719166 -2.130676032 116 -0.188762300 -1.864719166 117 1.317194565 -0.188762300 118 -2.441972576 1.317194565 119 -1.596015710 -2.441972576 120 -0.590058845 -1.596015710 121 0.805898021 -0.590058845 122 1.621854887 0.805898021 123 1.677811753 1.621854887 124 0.723768618 1.677811753 125 -1.120274516 0.723768618 126 -2.474317650 -1.120274516 127 -2.368360785 -2.474317650 128 -1.042403919 -2.368360785 129 0.753552947 -1.042403919 130 -2.455614195 0.753552947 131 -1.769657329 -2.455614195 132 -0.283700463 -1.769657329 133 1.002256403 -0.283700463 134 1.948213268 1.002256403 135 1.634170134 1.948213268 136 1.020127000 1.634170134 137 -0.923916134 1.020127000 138 -1.947959269 -0.923916134 139 -2.282002403 -1.947959269 140 -0.946045537 -2.282002403 141 0.589911328 -0.946045537 142 -2.869255813 0.589911328 143 -1.643298947 -2.869255813 144 -0.497342081 -1.643298947 145 1.038614784 -0.497342081 146 1.234571650 1.038614784 147 1.090528516 1.234571650 148 0.046485381 1.090528516 149 -1.347557753 0.046485381 150 -2.671600887 -1.347557753 151 -2.345644021 -2.671600887 152 -1.259687156 -2.345644021 153 0.156269710 -1.259687156 154 -3.172897431 0.156269710 155 -2.396940566 -3.172897431 156 -1.630983700 -2.396940566 157 -0.765026834 -1.630983700 158 0.640930032 -0.765026834 159 0.556886897 0.640930032 160 -0.407156237 0.556886897 161 -2.021199371 -0.407156237 162 -3.855242505 -2.021199371 163 -3.389285640 -3.855242505 164 -1.883328774 -3.389285640 165 -0.407371908 -1.883328774 166 -4.016539050 -0.407371908 167 -2.890582184 -4.016539050 168 -2.504625318 -2.890582184 169 -0.268668453 -2.504625318 170 0.347288413 -0.268668453 171 -0.366754721 0.347288413 172 -1.140797855 -0.366754721 173 -2.604840990 -1.140797855 174 -3.728884124 -2.604840990 175 -3.332927258 -3.728884124 176 -1.626970392 -3.332927258 177 -0.311013527 -1.626970392 178 -3.680180668 -0.311013527 179 -2.404223802 -3.680180668 180 -1.398266937 -2.404223802 181 0.067689929 -1.398266937 182 1.313646795 0.067689929 183 1.169603661 1.313646795 184 0.235560526 1.169603661 185 -1.058482608 0.235560526 186 -2.592525742 -1.058482608 187 -2.656568877 -2.592525742 188 -1.410612011 -2.656568877 189 -0.664655145 -1.410612011 190 -4.323822287 -0.664655145 191 -2.697865421 -4.323822287 192 -1.661908555 -2.697865421 193 -0.225951689 -1.661908555 194 0.540005176 -0.225951689 195 -0.214037958 0.540005176 196 -1.088081092 -0.214037958 197 -2.642124226 -1.088081092 198 -4.136167361 -2.642124226 199 -4.070210495 -4.136167361 200 -2.674253629 -4.070210495 201 -1.248296764 -2.674253629 202 -4.437463905 -1.248296764 203 -3.441507039 -4.437463905 204 -2.735550173 -3.441507039 205 -1.029593308 -2.735550173 206 -0.143636442 -1.029593308 207 -0.387679576 -0.143636442 208 -1.781722711 -0.387679576 209 -3.375765845 -1.781722711 210 -4.419808979 -3.375765845 211 -4.373852113 -4.419808979 212 -3.127895248 -4.373852113 213 -1.611938382 -3.127895248 214 -4.901105523 -1.611938382 215 -3.545148658 -4.901105523 216 -2.569191792 -3.545148658 217 -0.983234926 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5.843874903 591 6.025788635 6.279831769 592 4.731745501 6.025788635 593 2.507702366 4.731745501 594 1.623659232 2.507702366 595 2.169616098 1.623659232 596 3.715572964 2.169616098 597 5.451529829 3.715572964 598 2.662362688 5.451529829 599 3.228319554 2.662362688 600 3.734276419 3.228319554 601 5.220233285 3.734276419 602 6.806190151 5.220233285 603 6.452147016 6.806190151 604 5.218103882 6.452147016 605 3.254060748 5.218103882 606 2.440017614 3.254060748 607 2.615974479 2.440017614 608 4.011931345 2.615974479 609 5.707888211 4.011931345 610 2.718721069 5.707888211 611 3.474677935 2.718721069 612 5.100634801 3.474677935 613 6.056591667 5.100634801 614 7.042548532 6.056591667 615 6.558505398 7.042548532 616 5.134462264 6.558505398 617 3.570419130 5.134462264 618 2.696375995 3.570419130 619 2.572332861 2.696375995 620 4.448289727 2.572332861 621 5.984246592 4.448289727 622 2.805079451 5.984246592 623 4.321036317 2.805079451 624 5.966993183 4.321036317 625 7.612950048 5.966993183 626 8.378906914 7.612950048 627 7.714863780 8.378906914 628 6.080820645 7.714863780 629 4.366777511 6.080820645 630 3.282734377 4.366777511 631 3.928691243 3.282734377 632 5.604648108 3.928691243 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/7a4tb1321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8qi8t1321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9sbvm1321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10gxzi1321896144.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/112iyn1321896144.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12mqx21321896144.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13tp7o1321896145.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/1499vk1321896145.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/15dow41321896145.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/1674xz1321896145.tab") + } > > try(system("convert tmp/139221321896144.ps tmp/139221321896144.png",intern=TRUE)) character(0) > try(system("convert tmp/2u51d1321896144.ps tmp/2u51d1321896144.png",intern=TRUE)) character(0) > try(system("convert tmp/324jf1321896144.ps tmp/324jf1321896144.png",intern=TRUE)) character(0) > try(system("convert tmp/4l3sa1321896144.ps tmp/4l3sa1321896144.png",intern=TRUE)) character(0) > try(system("convert tmp/5g2r51321896144.ps tmp/5g2r51321896144.png",intern=TRUE)) character(0) > try(system("convert tmp/6uk171321896144.ps tmp/6uk171321896144.png",intern=TRUE)) character(0) > try(system("convert tmp/7a4tb1321896144.ps tmp/7a4tb1321896144.png",intern=TRUE)) character(0) > try(system("convert tmp/8qi8t1321896144.ps tmp/8qi8t1321896144.png",intern=TRUE)) character(0) > try(system("convert tmp/9sbvm1321896144.ps tmp/9sbvm1321896144.png",intern=TRUE)) character(0) > try(system("convert tmp/10gxzi1321896144.ps tmp/10gxzi1321896144.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 19.831 0.654 20.561