Multiple Linear Regression - Estimated Regression Equation
Tarwe[t] = + 245.128295454545 -14.3083825757576M1[t] -4.39310606060605M2[t] -2.29782954545454M3[t] -16.0805530303030M4[t] -18.4272765151515M5[t] -14.264M6[t] -12.0287234848485M7[t] -3.02344696969697M8[t] + 5.86982954545454M9[t] + 0.295106060606054M10[t] -8.29577651515151M11[t] + 0.156723484848486t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)245.12829545454541.3216775.932200
M1-14.308382575757650.130717-0.28540.7766310.388315
M2-4.3931060606060550.099169-0.08770.9305140.465257
M3-2.2978295454545450.074619-0.04590.9636020.481801
M4-16.080553030303050.057075-0.32120.7495130.374756
M5-18.427276515151550.046546-0.36820.7144480.357224
M6-14.26450.043036-0.2850.7769250.388463
M7-12.028723484848550.046546-0.24040.811150.405575
M8-3.0234469696969750.057075-0.06040.9521050.476052
M95.8698295454545450.0746190.11720.9072060.453603
M100.29510606060605450.0991690.00590.9953260.497663
M11-8.2957765151515152.753321-0.15730.8757470.437873
t0.1567234848484860.5927340.26440.7926730.396336


Multiple Linear Regression - Regression Statistics
Multiple R0.122409353781914
R-squared0.0149840498933058
Adjusted R-squared-0.247686870135146
F-TEST (value)0.057044951499324
F-TEST (DF numerator)12
F-TEST (DF denominator)45
p-value0.999997131728267
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation74.599753247114
Sum Squared Residuals250430.543303864


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1167.16230.976636363637-63.8166363636367
2179.84241.048636363636-61.2086363636364
3174.44243.300636363636-68.8606363636364
4180.35229.674636363636-49.3246363636364
5193.17227.484636363636-34.3146363636363
6195.16231.804636363636-36.6446363636363
7202.43234.196636363636-31.7666363636364
8189.91243.358636363636-53.4486363636364
9195.98252.408636363636-56.4286363636363
10212.09246.990636363636-34.9006363636363
11205.81238.556477272727-32.7464772727273
12204.31247.008977272727-42.6989772727272
13196.07232.857318181818-36.7873181818181
14199.98242.929318181818-42.9493181818182
15199.1245.181318181818-46.0813181818182
16198.31231.555318181818-33.2453181818182
17195.72229.365318181818-33.6453181818182
18223.04233.685318181818-10.6453181818182
19238.41236.0773181818182.33268181818182
20259.73245.23931818181814.4906818181818
21326.54254.28931818181872.2506818181818
22335.15248.87131818181886.2786818181818
23321.81240.43715909090981.3728409090909
24368.62248.889659090909119.730340909091
25369.59234.738134.852
26425244.81180.19
27439.72247.062192.658
28362.23233.436128.794
29328.76231.24697.514
30348.55235.566112.984
31328.18237.95890.222
32329.34247.1282.22
33295.55256.1739.38
34237.38250.752-13.372
35226.85242.317840909091-15.4678409090909
36220.14250.770340909091-30.6303409090909
37239.36236.6186818181822.74131818181828
38224.69246.690681818182-22.0006818181818
39230.98248.942681818182-17.9626818181818
40233.47235.316681818182-1.84668181818184
41256.7233.12668181818223.5733181818182
42253.41237.44668181818215.9633181818182
43224.95239.838681818182-14.8886818181818
44210.37249.000681818182-38.6306818181818
45191.09258.050681818182-66.9606818181818
46198.85252.632681818182-53.7826818181818
47211.04244.198522727273-33.1585227272727
48206.25252.651022727273-46.4010227272727
49201.51238.499363636364-36.9893636363636
50194.54248.571363636364-54.0313636363637
51191.07250.823363636364-59.7533636363637
52192.82237.197363636364-44.3773636363637
53181.88235.007363636364-53.1273636363636
54157.67239.327363636364-81.6573636363637
55195.82241.719363636364-45.8993636363637
56246.25250.881363636364-4.63136363636365
57271.69259.93136363636411.7586363636363
58270.29254.51336363636415.7766363636364


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.0002189829940963290.0004379659881926570.999781017005904
170.0003947202559068790.0007894405118137590.999605279744093
187.74192489404122e-050.0001548384978808240.99992258075106
193.38841821778283e-056.77683643556565e-050.999966115817822
200.0006463838143504740.001292767628700950.99935361618565
210.03045377934939470.06090755869878940.969546220650605
220.05550079530607350.1110015906121470.944499204693927
230.05643503835813130.1128700767162630.943564961641869
240.1218792719590930.2437585439181850.878120728040907
250.1669789359355510.3339578718711020.833021064064449
260.3907075202673520.7814150405347040.609292479732648
270.7354177988680020.5291644022639960.264582201131998
280.7425915705574750.5148168588850510.257408429442525
290.6945298499635830.6109403000728330.305470150036417
300.7425639385169590.5148721229660820.257436061483041
310.7801455548372730.4397088903254540.219854445162727
320.8093010214373050.3813979571253900.190698978562695
330.8482075977016780.3035848045966450.151792402298322
340.9087490371114170.1825019257771670.0912509628885834
350.9185567864495260.1628864271009480.0814432135504739
360.9235993813721740.1528012372556510.0764006186278257
370.9053794243459120.1892411513081750.0946205756540876
380.8837569156598810.2324861686802370.116243084340118
390.8438339579690480.3123320840619050.156166042030952
400.772022493860860.4559550122782790.227977506139140
410.73865783081010.5226843383798010.261342169189900
420.8787820401258960.2424359197482070.121217959874104


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level50.185185185185185NOK
5% type I error level50.185185185185185NOK
10% type I error level60.222222222222222NOK