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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_multipleregression.wasp
Title produced by softwareMultiple Regression
Date of computationSun, 30 Nov 2008 05:59:15 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/30/t1228049996xq73c8osxw59pla.htm/, Retrieved Fri, 13 Jun 2025 00:43:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26489, Retrieved Fri, 13 Jun 2025 00:43:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact328

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Q1 The Seatbeltlaw] [2007-11-14 19:27:43] [8cd6641b921d30ebe00b648d1481bba0]
F    D  [Multiple Regression] [The Seatbelt Law ...] [2008-11-15 12:00:57] [93834488277b53a4510bfd06084ae13b]
-   P       [Multiple Regression] [] [2008-11-30 12:59:15] [6d40a467de0f28bd2350f82ac9522c51] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1687	0
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1385	0
1632	0
1511	0
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1655	0
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1992	0
2233	0
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2012	0
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2004	0
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2092	0
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1956	0
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1110	1
1297	1
1185	1
1222	1
1284	1
1444	1
1575	1
1737	1
1763	1

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26489&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26489&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26489&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132






Multiple Linear Regression - Estimated Regression Equation
Slachtoffer/maand[t] = + 1717.75147928994 -396.055827116028Dumivariabele[t] + e[t]

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Estimated Regression Equation \tabularnewline
Slachtoffer/maand[t] =  +  1717.75147928994 -396.055827116028Dumivariabele[t]  + e[t] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26489&T=1

[TABLE]
[ROW][C]Multiple Linear Regression - Estimated Regression Equation[/C][/ROW]
[ROW][C]Slachtoffer/maand[t] =  +  1717.75147928994 -396.055827116028Dumivariabele[t]  + e[t][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26489&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26489&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Estimated Regression Equation
Slachtoffer/maand[t] = + 1717.75147928994 -396.055827116028Dumivariabele[t] + e[t]






Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)1717.7514792899420.00033485.886100
Dumivariabele-396.05582711602857.786173-6.853800

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Ordinary Least Squares \tabularnewline
Variable & Parameter & S.D. & T-STATH0: parameter = 0 & 2-tail p-value & 1-tail p-value \tabularnewline
(Intercept) & 1717.75147928994 & 20.000334 & 85.8861 & 0 & 0 \tabularnewline
Dumivariabele & -396.055827116028 & 57.786173 & -6.8538 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26489&T=2

[TABLE]
[ROW][C]Multiple Linear Regression - Ordinary Least Squares[/C][/ROW]
[ROW][C]Variable[/C][C]Parameter[/C][C]S.D.[/C][C]T-STATH0: parameter = 0[/C][C]2-tail p-value[/C][C]1-tail p-value[/C][/ROW]
[ROW][C](Intercept)[/C][C]1717.75147928994[/C][C]20.000334[/C][C]85.8861[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]Dumivariabele[/C][C]-396.055827116028[/C][C]57.786173[/C][C]-6.8538[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26489&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26489&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)1717.7514792899420.00033485.886100
Dumivariabele-396.05582711602857.786173-6.853800






Multiple Linear Regression - Regression Statistics
Multiple R0.445226892939612
R-squared0.198226986196661
Adjusted R-squared0.194007128229275
F-TEST (value)46.9748005095663
F-TEST (DF numerator)1
F-TEST (DF denominator)190
p-value9.762957109416e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation260.004336317031
Sum Squared Residuals12844428.4316954

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Regression Statistics \tabularnewline
Multiple R & 0.445226892939612 \tabularnewline
R-squared & 0.198226986196661 \tabularnewline
Adjusted R-squared & 0.194007128229275 \tabularnewline
F-TEST (value) & 46.9748005095663 \tabularnewline
F-TEST (DF numerator) & 1 \tabularnewline
F-TEST (DF denominator) & 190 \tabularnewline
p-value & 9.762957109416e-11 \tabularnewline
Multiple Linear Regression - Residual Statistics \tabularnewline
Residual Standard Deviation & 260.004336317031 \tabularnewline
Sum Squared Residuals & 12844428.4316954 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26489&T=3

[TABLE]
[ROW][C]Multiple Linear Regression - Regression Statistics[/C][/ROW]
[ROW][C]Multiple R[/C][C]0.445226892939612[/C][/ROW]
[ROW][C]R-squared[/C][C]0.198226986196661[/C][/ROW]
[ROW][C]Adjusted R-squared[/C][C]0.194007128229275[/C][/ROW]
[ROW][C]F-TEST (value)[/C][C]46.9748005095663[/C][/ROW]
[ROW][C]F-TEST (DF numerator)[/C][C]1[/C][/ROW]
[ROW][C]F-TEST (DF denominator)[/C][C]190[/C][/ROW]
[ROW][C]p-value[/C][C]9.762957109416e-11[/C][/ROW]
[ROW][C]Multiple Linear Regression - Residual Statistics[/C][/ROW]
[ROW][C]Residual Standard Deviation[/C][C]260.004336317031[/C][/ROW]
[ROW][C]Sum Squared Residuals[/C][C]12844428.4316954[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26489&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26489&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Regression Statistics
Multiple R0.445226892939612
R-squared0.198226986196661
Adjusted R-squared0.194007128229275
F-TEST (value)46.9748005095663
F-TEST (DF numerator)1
F-TEST (DF denominator)190
p-value9.762957109416e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation260.004336317031
Sum Squared Residuals12844428.4316954






Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
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315071717.75147928994-210.751479289941
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6021501717.75147928994432.248520710059
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18812841321.69565217391-37.695652173913
18914441321.69565217391122.304347826087
19015751321.69565217391253.304347826087
19117371321.69565217391415.304347826087
19217631321.69565217391441.304347826087

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Actuals, Interpolation, and Residuals \tabularnewline
Time or Index & Actuals & InterpolationForecast & ResidualsPrediction Error \tabularnewline
1 & 1687 & 1717.75147928992 & -30.7514792899202 \tabularnewline
2 & 1508 & 1717.75147928994 & -209.751479289942 \tabularnewline
3 & 1507 & 1717.75147928994 & -210.751479289941 \tabularnewline
4 & 1385 & 1717.75147928994 & -332.751479289941 \tabularnewline
5 & 1632 & 1717.75147928994 & -85.751479289941 \tabularnewline
6 & 1511 & 1717.75147928994 & -206.751479289941 \tabularnewline
7 & 1559 & 1717.75147928994 & -158.751479289941 \tabularnewline
8 & 1630 & 1717.75147928994 & -87.751479289941 \tabularnewline
9 & 1579 & 1717.75147928994 & -138.751479289941 \tabularnewline
10 & 1653 & 1717.75147928994 & -64.751479289941 \tabularnewline
11 & 2152 & 1717.75147928994 & 434.248520710059 \tabularnewline
12 & 2148 & 1717.75147928994 & 430.248520710059 \tabularnewline
13 & 1752 & 1717.75147928994 & 34.2485207100591 \tabularnewline
14 & 1765 & 1717.75147928994 & 47.2485207100591 \tabularnewline
15 & 1717 & 1717.75147928994 & -0.751479289940944 \tabularnewline
16 & 1558 & 1717.75147928994 & -159.751479289941 \tabularnewline
17 & 1575 & 1717.75147928994 & -142.751479289941 \tabularnewline
18 & 1520 & 1717.75147928994 & -197.751479289941 \tabularnewline
19 & 1805 & 1717.75147928994 & 87.248520710059 \tabularnewline
20 & 1800 & 1717.75147928994 & 82.248520710059 \tabularnewline
21 & 1719 & 1717.75147928994 & 1.24852071005906 \tabularnewline
22 & 2008 & 1717.75147928994 & 290.248520710059 \tabularnewline
23 & 2242 & 1717.75147928994 & 524.248520710059 \tabularnewline
24 & 2478 & 1717.75147928994 & 760.248520710059 \tabularnewline
25 & 2030 & 1717.75147928994 & 312.248520710059 \tabularnewline
26 & 1655 & 1717.75147928994 & -62.751479289941 \tabularnewline
27 & 1693 & 1717.75147928994 & -24.7514792899409 \tabularnewline
28 & 1623 & 1717.75147928994 & -94.751479289941 \tabularnewline
29 & 1805 & 1717.75147928994 & 87.248520710059 \tabularnewline
30 & 1746 & 1717.75147928994 & 28.2485207100591 \tabularnewline
31 & 1795 & 1717.75147928994 & 77.2485207100591 \tabularnewline
32 & 1926 & 1717.75147928994 & 208.248520710059 \tabularnewline
33 & 1619 & 1717.75147928994 & -98.751479289941 \tabularnewline
34 & 1992 & 1717.75147928994 & 274.248520710059 \tabularnewline
35 & 2233 & 1717.75147928994 & 515.248520710059 \tabularnewline
36 & 2192 & 1717.75147928994 & 474.248520710059 \tabularnewline
37 & 2080 & 1717.75147928994 & 362.248520710059 \tabularnewline
38 & 1768 & 1717.75147928994 & 50.2485207100591 \tabularnewline
39 & 1835 & 1717.75147928994 & 117.248520710059 \tabularnewline
40 & 1569 & 1717.75147928994 & -148.751479289941 \tabularnewline
41 & 1976 & 1717.75147928994 & 258.248520710059 \tabularnewline
42 & 1853 & 1717.75147928994 & 135.248520710059 \tabularnewline
43 & 1965 & 1717.75147928994 & 247.248520710059 \tabularnewline
44 & 1689 & 1717.75147928994 & -28.7514792899409 \tabularnewline
45 & 1778 & 1717.75147928994 & 60.2485207100591 \tabularnewline
46 & 1976 & 1717.75147928994 & 258.248520710059 \tabularnewline
47 & 2397 & 1717.75147928994 & 679.248520710059 \tabularnewline
48 & 2654 & 1717.75147928994 & 936.248520710059 \tabularnewline
49 & 2097 & 1717.75147928994 & 379.248520710059 \tabularnewline
50 & 1963 & 1717.75147928994 & 245.248520710059 \tabularnewline
51 & 1677 & 1717.75147928994 & -40.7514792899409 \tabularnewline
52 & 1941 & 1717.75147928994 & 223.248520710059 \tabularnewline
53 & 2003 & 1717.75147928994 & 285.248520710059 \tabularnewline
54 & 1813 & 1717.75147928994 & 95.248520710059 \tabularnewline
55 & 2012 & 1717.75147928994 & 294.248520710059 \tabularnewline
56 & 1912 & 1717.75147928994 & 194.248520710059 \tabularnewline
57 & 2084 & 1717.75147928994 & 366.248520710059 \tabularnewline
58 & 2080 & 1717.75147928994 & 362.248520710059 \tabularnewline
59 & 2118 & 1717.75147928994 & 400.248520710059 \tabularnewline
60 & 2150 & 1717.75147928994 & 432.248520710059 \tabularnewline
61 & 1608 & 1717.75147928994 & -109.751479289941 \tabularnewline
62 & 1503 & 1717.75147928994 & -214.751479289941 \tabularnewline
63 & 1548 & 1717.75147928994 & -169.751479289941 \tabularnewline
64 & 1382 & 1717.75147928994 & -335.751479289941 \tabularnewline
65 & 1731 & 1717.75147928994 & 13.2485207100591 \tabularnewline
66 & 1798 & 1717.75147928994 & 80.248520710059 \tabularnewline
67 & 1779 & 1717.75147928994 & 61.2485207100591 \tabularnewline
68 & 1887 & 1717.75147928994 & 169.248520710059 \tabularnewline
69 & 2004 & 1717.75147928994 & 286.248520710059 \tabularnewline
70 & 2077 & 1717.75147928994 & 359.248520710059 \tabularnewline
71 & 2092 & 1717.75147928994 & 374.248520710059 \tabularnewline
72 & 2051 & 1717.75147928994 & 333.248520710059 \tabularnewline
73 & 1577 & 1717.75147928994 & -140.751479289941 \tabularnewline
74 & 1356 & 1717.75147928994 & -361.751479289941 \tabularnewline
75 & 1652 & 1717.75147928994 & -65.7514792899409 \tabularnewline
76 & 1382 & 1717.75147928994 & -335.751479289941 \tabularnewline
77 & 1519 & 1717.75147928994 & -198.751479289941 \tabularnewline
78 & 1421 & 1717.75147928994 & -296.751479289941 \tabularnewline
79 & 1442 & 1717.75147928994 & -275.751479289941 \tabularnewline
80 & 1543 & 1717.75147928994 & -174.751479289941 \tabularnewline
81 & 1656 & 1717.75147928994 & -61.7514792899409 \tabularnewline
82 & 1561 & 1717.75147928994 & -156.751479289941 \tabularnewline
83 & 1905 & 1717.75147928994 & 187.248520710059 \tabularnewline
84 & 2199 & 1717.75147928994 & 481.248520710059 \tabularnewline
85 & 1473 & 1717.75147928994 & -244.751479289941 \tabularnewline
86 & 1655 & 1717.75147928994 & -62.751479289941 \tabularnewline
87 & 1407 & 1717.75147928994 & -310.751479289941 \tabularnewline
88 & 1395 & 1717.75147928994 & -322.751479289941 \tabularnewline
89 & 1530 & 1717.75147928994 & -187.751479289941 \tabularnewline
90 & 1309 & 1717.75147928994 & -408.751479289941 \tabularnewline
91 & 1526 & 1717.75147928994 & -191.751479289941 \tabularnewline
92 & 1327 & 1717.75147928994 & -390.751479289941 \tabularnewline
93 & 1627 & 1717.75147928994 & -90.751479289941 \tabularnewline
94 & 1748 & 1717.75147928994 & 30.2485207100591 \tabularnewline
95 & 1958 & 1717.75147928994 & 240.248520710059 \tabularnewline
96 & 2274 & 1717.75147928994 & 556.248520710059 \tabularnewline
97 & 1648 & 1717.75147928994 & -69.7514792899409 \tabularnewline
98 & 1401 & 1717.75147928994 & -316.751479289941 \tabularnewline
99 & 1411 & 1717.75147928994 & -306.751479289941 \tabularnewline
100 & 1403 & 1717.75147928994 & -314.751479289941 \tabularnewline
101 & 1394 & 1717.75147928994 & -323.751479289941 \tabularnewline
102 & 1520 & 1717.75147928994 & -197.751479289941 \tabularnewline
103 & 1528 & 1717.75147928994 & -189.751479289941 \tabularnewline
104 & 1643 & 1717.75147928994 & -74.7514792899409 \tabularnewline
105 & 1515 & 1717.75147928994 & -202.751479289941 \tabularnewline
106 & 1685 & 1717.75147928994 & -32.7514792899409 \tabularnewline
107 & 2000 & 1717.75147928994 & 282.248520710059 \tabularnewline
108 & 2215 & 1717.75147928994 & 497.248520710059 \tabularnewline
109 & 1956 & 1717.75147928994 & 238.248520710059 \tabularnewline
110 & 1462 & 1717.75147928994 & -255.751479289941 \tabularnewline
111 & 1563 & 1717.75147928994 & -154.751479289941 \tabularnewline
112 & 1459 & 1717.75147928994 & -258.751479289941 \tabularnewline
113 & 1446 & 1717.75147928994 & -271.751479289941 \tabularnewline
114 & 1622 & 1717.75147928994 & -95.751479289941 \tabularnewline
115 & 1657 & 1717.75147928994 & -60.7514792899409 \tabularnewline
116 & 1638 & 1717.75147928994 & -79.751479289941 \tabularnewline
117 & 1643 & 1717.75147928994 & -74.7514792899409 \tabularnewline
118 & 1683 & 1717.75147928994 & -34.7514792899409 \tabularnewline
119 & 2050 & 1717.75147928994 & 332.248520710059 \tabularnewline
120 & 2262 & 1717.75147928994 & 544.248520710059 \tabularnewline
121 & 1813 & 1717.75147928994 & 95.248520710059 \tabularnewline
122 & 1445 & 1717.75147928994 & -272.751479289941 \tabularnewline
123 & 1762 & 1717.75147928994 & 44.2485207100591 \tabularnewline
124 & 1461 & 1717.75147928994 & -256.751479289941 \tabularnewline
125 & 1556 & 1717.75147928994 & -161.751479289941 \tabularnewline
126 & 1431 & 1717.75147928994 & -286.751479289941 \tabularnewline
127 & 1427 & 1717.75147928994 & -290.751479289941 \tabularnewline
128 & 1554 & 1717.75147928994 & -163.751479289941 \tabularnewline
129 & 1645 & 1717.75147928994 & -72.7514792899409 \tabularnewline
130 & 1653 & 1717.75147928994 & -64.751479289941 \tabularnewline
131 & 2016 & 1717.75147928994 & 298.248520710059 \tabularnewline
132 & 2207 & 1717.75147928994 & 489.248520710059 \tabularnewline
133 & 1665 & 1717.75147928994 & -52.7514792899409 \tabularnewline
134 & 1361 & 1717.75147928994 & -356.751479289941 \tabularnewline
135 & 1506 & 1717.75147928994 & -211.751479289941 \tabularnewline
136 & 1360 & 1717.75147928994 & -357.751479289941 \tabularnewline
137 & 1453 & 1717.75147928994 & -264.751479289941 \tabularnewline
138 & 1522 & 1717.75147928994 & -195.751479289941 \tabularnewline
139 & 1460 & 1717.75147928994 & -257.751479289941 \tabularnewline
140 & 1552 & 1717.75147928994 & -165.751479289941 \tabularnewline
141 & 1548 & 1717.75147928994 & -169.751479289941 \tabularnewline
142 & 1827 & 1717.75147928994 & 109.248520710059 \tabularnewline
143 & 1737 & 1717.75147928994 & 19.2485207100591 \tabularnewline
144 & 1941 & 1717.75147928994 & 223.248520710059 \tabularnewline
145 & 1474 & 1717.75147928994 & -243.751479289941 \tabularnewline
146 & 1458 & 1717.75147928994 & -259.751479289941 \tabularnewline
147 & 1542 & 1717.75147928994 & -175.751479289941 \tabularnewline
148 & 1404 & 1717.75147928994 & -313.751479289941 \tabularnewline
149 & 1522 & 1717.75147928994 & -195.751479289941 \tabularnewline
150 & 1385 & 1717.75147928994 & -332.751479289941 \tabularnewline
151 & 1641 & 1717.75147928994 & -76.7514792899409 \tabularnewline
152 & 1510 & 1717.75147928994 & -207.751479289941 \tabularnewline
153 & 1681 & 1717.75147928994 & -36.7514792899409 \tabularnewline
154 & 1938 & 1717.75147928994 & 220.248520710059 \tabularnewline
155 & 1868 & 1717.75147928994 & 150.248520710059 \tabularnewline
156 & 1726 & 1717.75147928994 & 8.24852071005906 \tabularnewline
157 & 1456 & 1717.75147928994 & -261.751479289941 \tabularnewline
158 & 1445 & 1717.75147928994 & -272.751479289941 \tabularnewline
159 & 1456 & 1717.75147928994 & -261.751479289941 \tabularnewline
160 & 1365 & 1717.75147928994 & -352.751479289941 \tabularnewline
161 & 1487 & 1717.75147928994 & -230.751479289941 \tabularnewline
162 & 1558 & 1717.75147928994 & -159.751479289941 \tabularnewline
163 & 1488 & 1717.75147928994 & -229.751479289941 \tabularnewline
164 & 1684 & 1717.75147928994 & -33.7514792899409 \tabularnewline
165 & 1594 & 1717.75147928994 & -123.751479289941 \tabularnewline
166 & 1850 & 1717.75147928994 & 132.248520710059 \tabularnewline
167 & 1998 & 1717.75147928994 & 280.248520710059 \tabularnewline
168 & 2079 & 1717.75147928994 & 361.248520710059 \tabularnewline
169 & 1494 & 1717.75147928994 & -223.751479289941 \tabularnewline
170 & 1057 & 1321.69565217391 & -264.695652173913 \tabularnewline
171 & 1218 & 1321.69565217391 & -103.695652173913 \tabularnewline
172 & 1168 & 1321.69565217391 & -153.695652173913 \tabularnewline
173 & 1236 & 1321.69565217391 & -85.695652173913 \tabularnewline
174 & 1076 & 1321.69565217391 & -245.695652173913 \tabularnewline
175 & 1174 & 1321.69565217391 & -147.695652173913 \tabularnewline
176 & 1139 & 1321.69565217391 & -182.695652173913 \tabularnewline
177 & 1427 & 1321.69565217391 & 105.304347826087 \tabularnewline
178 & 1487 & 1321.69565217391 & 165.304347826087 \tabularnewline
179 & 1483 & 1321.69565217391 & 161.304347826087 \tabularnewline
180 & 1513 & 1321.69565217391 & 191.304347826087 \tabularnewline
181 & 1357 & 1321.69565217391 & 35.304347826087 \tabularnewline
182 & 1165 & 1321.69565217391 & -156.695652173913 \tabularnewline
183 & 1282 & 1321.69565217391 & -39.695652173913 \tabularnewline
184 & 1110 & 1321.69565217391 & -211.695652173913 \tabularnewline
185 & 1297 & 1321.69565217391 & -24.6956521739130 \tabularnewline
186 & 1185 & 1321.69565217391 & -136.695652173913 \tabularnewline
187 & 1222 & 1321.69565217391 & -99.695652173913 \tabularnewline
188 & 1284 & 1321.69565217391 & -37.695652173913 \tabularnewline
189 & 1444 & 1321.69565217391 & 122.304347826087 \tabularnewline
190 & 1575 & 1321.69565217391 & 253.304347826087 \tabularnewline
191 & 1737 & 1321.69565217391 & 415.304347826087 \tabularnewline
192 & 1763 & 1321.69565217391 & 441.304347826087 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26489&T=4

[TABLE]
[ROW][C]Multiple Linear Regression - Actuals, Interpolation, and Residuals[/C][/ROW]
[ROW][C]Time or Index[/C][C]Actuals[/C][C]InterpolationForecast[/C][C]ResidualsPrediction Error[/C][/ROW]
[ROW][C]1[/C][C]1687[/C][C]1717.75147928992[/C][C]-30.7514792899202[/C][/ROW]
[ROW][C]2[/C][C]1508[/C][C]1717.75147928994[/C][C]-209.751479289942[/C][/ROW]
[ROW][C]3[/C][C]1507[/C][C]1717.75147928994[/C][C]-210.751479289941[/C][/ROW]
[ROW][C]4[/C][C]1385[/C][C]1717.75147928994[/C][C]-332.751479289941[/C][/ROW]
[ROW][C]5[/C][C]1632[/C][C]1717.75147928994[/C][C]-85.751479289941[/C][/ROW]
[ROW][C]6[/C][C]1511[/C][C]1717.75147928994[/C][C]-206.751479289941[/C][/ROW]
[ROW][C]7[/C][C]1559[/C][C]1717.75147928994[/C][C]-158.751479289941[/C][/ROW]
[ROW][C]8[/C][C]1630[/C][C]1717.75147928994[/C][C]-87.751479289941[/C][/ROW]
[ROW][C]9[/C][C]1579[/C][C]1717.75147928994[/C][C]-138.751479289941[/C][/ROW]
[ROW][C]10[/C][C]1653[/C][C]1717.75147928994[/C][C]-64.751479289941[/C][/ROW]
[ROW][C]11[/C][C]2152[/C][C]1717.75147928994[/C][C]434.248520710059[/C][/ROW]
[ROW][C]12[/C][C]2148[/C][C]1717.75147928994[/C][C]430.248520710059[/C][/ROW]
[ROW][C]13[/C][C]1752[/C][C]1717.75147928994[/C][C]34.2485207100591[/C][/ROW]
[ROW][C]14[/C][C]1765[/C][C]1717.75147928994[/C][C]47.2485207100591[/C][/ROW]
[ROW][C]15[/C][C]1717[/C][C]1717.75147928994[/C][C]-0.751479289940944[/C][/ROW]
[ROW][C]16[/C][C]1558[/C][C]1717.75147928994[/C][C]-159.751479289941[/C][/ROW]
[ROW][C]17[/C][C]1575[/C][C]1717.75147928994[/C][C]-142.751479289941[/C][/ROW]
[ROW][C]18[/C][C]1520[/C][C]1717.75147928994[/C][C]-197.751479289941[/C][/ROW]
[ROW][C]19[/C][C]1805[/C][C]1717.75147928994[/C][C]87.248520710059[/C][/ROW]
[ROW][C]20[/C][C]1800[/C][C]1717.75147928994[/C][C]82.248520710059[/C][/ROW]
[ROW][C]21[/C][C]1719[/C][C]1717.75147928994[/C][C]1.24852071005906[/C][/ROW]
[ROW][C]22[/C][C]2008[/C][C]1717.75147928994[/C][C]290.248520710059[/C][/ROW]
[ROW][C]23[/C][C]2242[/C][C]1717.75147928994[/C][C]524.248520710059[/C][/ROW]
[ROW][C]24[/C][C]2478[/C][C]1717.75147928994[/C][C]760.248520710059[/C][/ROW]
[ROW][C]25[/C][C]2030[/C][C]1717.75147928994[/C][C]312.248520710059[/C][/ROW]
[ROW][C]26[/C][C]1655[/C][C]1717.75147928994[/C][C]-62.751479289941[/C][/ROW]
[ROW][C]27[/C][C]1693[/C][C]1717.75147928994[/C][C]-24.7514792899409[/C][/ROW]
[ROW][C]28[/C][C]1623[/C][C]1717.75147928994[/C][C]-94.751479289941[/C][/ROW]
[ROW][C]29[/C][C]1805[/C][C]1717.75147928994[/C][C]87.248520710059[/C][/ROW]
[ROW][C]30[/C][C]1746[/C][C]1717.75147928994[/C][C]28.2485207100591[/C][/ROW]
[ROW][C]31[/C][C]1795[/C][C]1717.75147928994[/C][C]77.2485207100591[/C][/ROW]
[ROW][C]32[/C][C]1926[/C][C]1717.75147928994[/C][C]208.248520710059[/C][/ROW]
[ROW][C]33[/C][C]1619[/C][C]1717.75147928994[/C][C]-98.751479289941[/C][/ROW]
[ROW][C]34[/C][C]1992[/C][C]1717.75147928994[/C][C]274.248520710059[/C][/ROW]
[ROW][C]35[/C][C]2233[/C][C]1717.75147928994[/C][C]515.248520710059[/C][/ROW]
[ROW][C]36[/C][C]2192[/C][C]1717.75147928994[/C][C]474.248520710059[/C][/ROW]
[ROW][C]37[/C][C]2080[/C][C]1717.75147928994[/C][C]362.248520710059[/C][/ROW]
[ROW][C]38[/C][C]1768[/C][C]1717.75147928994[/C][C]50.2485207100591[/C][/ROW]
[ROW][C]39[/C][C]1835[/C][C]1717.75147928994[/C][C]117.248520710059[/C][/ROW]
[ROW][C]40[/C][C]1569[/C][C]1717.75147928994[/C][C]-148.751479289941[/C][/ROW]
[ROW][C]41[/C][C]1976[/C][C]1717.75147928994[/C][C]258.248520710059[/C][/ROW]
[ROW][C]42[/C][C]1853[/C][C]1717.75147928994[/C][C]135.248520710059[/C][/ROW]
[ROW][C]43[/C][C]1965[/C][C]1717.75147928994[/C][C]247.248520710059[/C][/ROW]
[ROW][C]44[/C][C]1689[/C][C]1717.75147928994[/C][C]-28.7514792899409[/C][/ROW]
[ROW][C]45[/C][C]1778[/C][C]1717.75147928994[/C][C]60.2485207100591[/C][/ROW]
[ROW][C]46[/C][C]1976[/C][C]1717.75147928994[/C][C]258.248520710059[/C][/ROW]
[ROW][C]47[/C][C]2397[/C][C]1717.75147928994[/C][C]679.248520710059[/C][/ROW]
[ROW][C]48[/C][C]2654[/C][C]1717.75147928994[/C][C]936.248520710059[/C][/ROW]
[ROW][C]49[/C][C]2097[/C][C]1717.75147928994[/C][C]379.248520710059[/C][/ROW]
[ROW][C]50[/C][C]1963[/C][C]1717.75147928994[/C][C]245.248520710059[/C][/ROW]
[ROW][C]51[/C][C]1677[/C][C]1717.75147928994[/C][C]-40.7514792899409[/C][/ROW]
[ROW][C]52[/C][C]1941[/C][C]1717.75147928994[/C][C]223.248520710059[/C][/ROW]
[ROW][C]53[/C][C]2003[/C][C]1717.75147928994[/C][C]285.248520710059[/C][/ROW]
[ROW][C]54[/C][C]1813[/C][C]1717.75147928994[/C][C]95.248520710059[/C][/ROW]
[ROW][C]55[/C][C]2012[/C][C]1717.75147928994[/C][C]294.248520710059[/C][/ROW]
[ROW][C]56[/C][C]1912[/C][C]1717.75147928994[/C][C]194.248520710059[/C][/ROW]
[ROW][C]57[/C][C]2084[/C][C]1717.75147928994[/C][C]366.248520710059[/C][/ROW]
[ROW][C]58[/C][C]2080[/C][C]1717.75147928994[/C][C]362.248520710059[/C][/ROW]
[ROW][C]59[/C][C]2118[/C][C]1717.75147928994[/C][C]400.248520710059[/C][/ROW]
[ROW][C]60[/C][C]2150[/C][C]1717.75147928994[/C][C]432.248520710059[/C][/ROW]
[ROW][C]61[/C][C]1608[/C][C]1717.75147928994[/C][C]-109.751479289941[/C][/ROW]
[ROW][C]62[/C][C]1503[/C][C]1717.75147928994[/C][C]-214.751479289941[/C][/ROW]
[ROW][C]63[/C][C]1548[/C][C]1717.75147928994[/C][C]-169.751479289941[/C][/ROW]
[ROW][C]64[/C][C]1382[/C][C]1717.75147928994[/C][C]-335.751479289941[/C][/ROW]
[ROW][C]65[/C][C]1731[/C][C]1717.75147928994[/C][C]13.2485207100591[/C][/ROW]
[ROW][C]66[/C][C]1798[/C][C]1717.75147928994[/C][C]80.248520710059[/C][/ROW]
[ROW][C]67[/C][C]1779[/C][C]1717.75147928994[/C][C]61.2485207100591[/C][/ROW]
[ROW][C]68[/C][C]1887[/C][C]1717.75147928994[/C][C]169.248520710059[/C][/ROW]
[ROW][C]69[/C][C]2004[/C][C]1717.75147928994[/C][C]286.248520710059[/C][/ROW]
[ROW][C]70[/C][C]2077[/C][C]1717.75147928994[/C][C]359.248520710059[/C][/ROW]
[ROW][C]71[/C][C]2092[/C][C]1717.75147928994[/C][C]374.248520710059[/C][/ROW]
[ROW][C]72[/C][C]2051[/C][C]1717.75147928994[/C][C]333.248520710059[/C][/ROW]
[ROW][C]73[/C][C]1577[/C][C]1717.75147928994[/C][C]-140.751479289941[/C][/ROW]
[ROW][C]74[/C][C]1356[/C][C]1717.75147928994[/C][C]-361.751479289941[/C][/ROW]
[ROW][C]75[/C][C]1652[/C][C]1717.75147928994[/C][C]-65.7514792899409[/C][/ROW]
[ROW][C]76[/C][C]1382[/C][C]1717.75147928994[/C][C]-335.751479289941[/C][/ROW]
[ROW][C]77[/C][C]1519[/C][C]1717.75147928994[/C][C]-198.751479289941[/C][/ROW]
[ROW][C]78[/C][C]1421[/C][C]1717.75147928994[/C][C]-296.751479289941[/C][/ROW]
[ROW][C]79[/C][C]1442[/C][C]1717.75147928994[/C][C]-275.751479289941[/C][/ROW]
[ROW][C]80[/C][C]1543[/C][C]1717.75147928994[/C][C]-174.751479289941[/C][/ROW]
[ROW][C]81[/C][C]1656[/C][C]1717.75147928994[/C][C]-61.7514792899409[/C][/ROW]
[ROW][C]82[/C][C]1561[/C][C]1717.75147928994[/C][C]-156.751479289941[/C][/ROW]
[ROW][C]83[/C][C]1905[/C][C]1717.75147928994[/C][C]187.248520710059[/C][/ROW]
[ROW][C]84[/C][C]2199[/C][C]1717.75147928994[/C][C]481.248520710059[/C][/ROW]
[ROW][C]85[/C][C]1473[/C][C]1717.75147928994[/C][C]-244.751479289941[/C][/ROW]
[ROW][C]86[/C][C]1655[/C][C]1717.75147928994[/C][C]-62.751479289941[/C][/ROW]
[ROW][C]87[/C][C]1407[/C][C]1717.75147928994[/C][C]-310.751479289941[/C][/ROW]
[ROW][C]88[/C][C]1395[/C][C]1717.75147928994[/C][C]-322.751479289941[/C][/ROW]
[ROW][C]89[/C][C]1530[/C][C]1717.75147928994[/C][C]-187.751479289941[/C][/ROW]
[ROW][C]90[/C][C]1309[/C][C]1717.75147928994[/C][C]-408.751479289941[/C][/ROW]
[ROW][C]91[/C][C]1526[/C][C]1717.75147928994[/C][C]-191.751479289941[/C][/ROW]
[ROW][C]92[/C][C]1327[/C][C]1717.75147928994[/C][C]-390.751479289941[/C][/ROW]
[ROW][C]93[/C][C]1627[/C][C]1717.75147928994[/C][C]-90.751479289941[/C][/ROW]
[ROW][C]94[/C][C]1748[/C][C]1717.75147928994[/C][C]30.2485207100591[/C][/ROW]
[ROW][C]95[/C][C]1958[/C][C]1717.75147928994[/C][C]240.248520710059[/C][/ROW]
[ROW][C]96[/C][C]2274[/C][C]1717.75147928994[/C][C]556.248520710059[/C][/ROW]
[ROW][C]97[/C][C]1648[/C][C]1717.75147928994[/C][C]-69.7514792899409[/C][/ROW]
[ROW][C]98[/C][C]1401[/C][C]1717.75147928994[/C][C]-316.751479289941[/C][/ROW]
[ROW][C]99[/C][C]1411[/C][C]1717.75147928994[/C][C]-306.751479289941[/C][/ROW]
[ROW][C]100[/C][C]1403[/C][C]1717.75147928994[/C][C]-314.751479289941[/C][/ROW]
[ROW][C]101[/C][C]1394[/C][C]1717.75147928994[/C][C]-323.751479289941[/C][/ROW]
[ROW][C]102[/C][C]1520[/C][C]1717.75147928994[/C][C]-197.751479289941[/C][/ROW]
[ROW][C]103[/C][C]1528[/C][C]1717.75147928994[/C][C]-189.751479289941[/C][/ROW]
[ROW][C]104[/C][C]1643[/C][C]1717.75147928994[/C][C]-74.7514792899409[/C][/ROW]
[ROW][C]105[/C][C]1515[/C][C]1717.75147928994[/C][C]-202.751479289941[/C][/ROW]
[ROW][C]106[/C][C]1685[/C][C]1717.75147928994[/C][C]-32.7514792899409[/C][/ROW]
[ROW][C]107[/C][C]2000[/C][C]1717.75147928994[/C][C]282.248520710059[/C][/ROW]
[ROW][C]108[/C][C]2215[/C][C]1717.75147928994[/C][C]497.248520710059[/C][/ROW]
[ROW][C]109[/C][C]1956[/C][C]1717.75147928994[/C][C]238.248520710059[/C][/ROW]
[ROW][C]110[/C][C]1462[/C][C]1717.75147928994[/C][C]-255.751479289941[/C][/ROW]
[ROW][C]111[/C][C]1563[/C][C]1717.75147928994[/C][C]-154.751479289941[/C][/ROW]
[ROW][C]112[/C][C]1459[/C][C]1717.75147928994[/C][C]-258.751479289941[/C][/ROW]
[ROW][C]113[/C][C]1446[/C][C]1717.75147928994[/C][C]-271.751479289941[/C][/ROW]
[ROW][C]114[/C][C]1622[/C][C]1717.75147928994[/C][C]-95.751479289941[/C][/ROW]
[ROW][C]115[/C][C]1657[/C][C]1717.75147928994[/C][C]-60.7514792899409[/C][/ROW]
[ROW][C]116[/C][C]1638[/C][C]1717.75147928994[/C][C]-79.751479289941[/C][/ROW]
[ROW][C]117[/C][C]1643[/C][C]1717.75147928994[/C][C]-74.7514792899409[/C][/ROW]
[ROW][C]118[/C][C]1683[/C][C]1717.75147928994[/C][C]-34.7514792899409[/C][/ROW]
[ROW][C]119[/C][C]2050[/C][C]1717.75147928994[/C][C]332.248520710059[/C][/ROW]
[ROW][C]120[/C][C]2262[/C][C]1717.75147928994[/C][C]544.248520710059[/C][/ROW]
[ROW][C]121[/C][C]1813[/C][C]1717.75147928994[/C][C]95.248520710059[/C][/ROW]
[ROW][C]122[/C][C]1445[/C][C]1717.75147928994[/C][C]-272.751479289941[/C][/ROW]
[ROW][C]123[/C][C]1762[/C][C]1717.75147928994[/C][C]44.2485207100591[/C][/ROW]
[ROW][C]124[/C][C]1461[/C][C]1717.75147928994[/C][C]-256.751479289941[/C][/ROW]
[ROW][C]125[/C][C]1556[/C][C]1717.75147928994[/C][C]-161.751479289941[/C][/ROW]
[ROW][C]126[/C][C]1431[/C][C]1717.75147928994[/C][C]-286.751479289941[/C][/ROW]
[ROW][C]127[/C][C]1427[/C][C]1717.75147928994[/C][C]-290.751479289941[/C][/ROW]
[ROW][C]128[/C][C]1554[/C][C]1717.75147928994[/C][C]-163.751479289941[/C][/ROW]
[ROW][C]129[/C][C]1645[/C][C]1717.75147928994[/C][C]-72.7514792899409[/C][/ROW]
[ROW][C]130[/C][C]1653[/C][C]1717.75147928994[/C][C]-64.751479289941[/C][/ROW]
[ROW][C]131[/C][C]2016[/C][C]1717.75147928994[/C][C]298.248520710059[/C][/ROW]
[ROW][C]132[/C][C]2207[/C][C]1717.75147928994[/C][C]489.248520710059[/C][/ROW]
[ROW][C]133[/C][C]1665[/C][C]1717.75147928994[/C][C]-52.7514792899409[/C][/ROW]
[ROW][C]134[/C][C]1361[/C][C]1717.75147928994[/C][C]-356.751479289941[/C][/ROW]
[ROW][C]135[/C][C]1506[/C][C]1717.75147928994[/C][C]-211.751479289941[/C][/ROW]
[ROW][C]136[/C][C]1360[/C][C]1717.75147928994[/C][C]-357.751479289941[/C][/ROW]
[ROW][C]137[/C][C]1453[/C][C]1717.75147928994[/C][C]-264.751479289941[/C][/ROW]
[ROW][C]138[/C][C]1522[/C][C]1717.75147928994[/C][C]-195.751479289941[/C][/ROW]
[ROW][C]139[/C][C]1460[/C][C]1717.75147928994[/C][C]-257.751479289941[/C][/ROW]
[ROW][C]140[/C][C]1552[/C][C]1717.75147928994[/C][C]-165.751479289941[/C][/ROW]
[ROW][C]141[/C][C]1548[/C][C]1717.75147928994[/C][C]-169.751479289941[/C][/ROW]
[ROW][C]142[/C][C]1827[/C][C]1717.75147928994[/C][C]109.248520710059[/C][/ROW]
[ROW][C]143[/C][C]1737[/C][C]1717.75147928994[/C][C]19.2485207100591[/C][/ROW]
[ROW][C]144[/C][C]1941[/C][C]1717.75147928994[/C][C]223.248520710059[/C][/ROW]
[ROW][C]145[/C][C]1474[/C][C]1717.75147928994[/C][C]-243.751479289941[/C][/ROW]
[ROW][C]146[/C][C]1458[/C][C]1717.75147928994[/C][C]-259.751479289941[/C][/ROW]
[ROW][C]147[/C][C]1542[/C][C]1717.75147928994[/C][C]-175.751479289941[/C][/ROW]
[ROW][C]148[/C][C]1404[/C][C]1717.75147928994[/C][C]-313.751479289941[/C][/ROW]
[ROW][C]149[/C][C]1522[/C][C]1717.75147928994[/C][C]-195.751479289941[/C][/ROW]
[ROW][C]150[/C][C]1385[/C][C]1717.75147928994[/C][C]-332.751479289941[/C][/ROW]
[ROW][C]151[/C][C]1641[/C][C]1717.75147928994[/C][C]-76.7514792899409[/C][/ROW]
[ROW][C]152[/C][C]1510[/C][C]1717.75147928994[/C][C]-207.751479289941[/C][/ROW]
[ROW][C]153[/C][C]1681[/C][C]1717.75147928994[/C][C]-36.7514792899409[/C][/ROW]
[ROW][C]154[/C][C]1938[/C][C]1717.75147928994[/C][C]220.248520710059[/C][/ROW]
[ROW][C]155[/C][C]1868[/C][C]1717.75147928994[/C][C]150.248520710059[/C][/ROW]
[ROW][C]156[/C][C]1726[/C][C]1717.75147928994[/C][C]8.24852071005906[/C][/ROW]
[ROW][C]157[/C][C]1456[/C][C]1717.75147928994[/C][C]-261.751479289941[/C][/ROW]
[ROW][C]158[/C][C]1445[/C][C]1717.75147928994[/C][C]-272.751479289941[/C][/ROW]
[ROW][C]159[/C][C]1456[/C][C]1717.75147928994[/C][C]-261.751479289941[/C][/ROW]
[ROW][C]160[/C][C]1365[/C][C]1717.75147928994[/C][C]-352.751479289941[/C][/ROW]
[ROW][C]161[/C][C]1487[/C][C]1717.75147928994[/C][C]-230.751479289941[/C][/ROW]
[ROW][C]162[/C][C]1558[/C][C]1717.75147928994[/C][C]-159.751479289941[/C][/ROW]
[ROW][C]163[/C][C]1488[/C][C]1717.75147928994[/C][C]-229.751479289941[/C][/ROW]
[ROW][C]164[/C][C]1684[/C][C]1717.75147928994[/C][C]-33.7514792899409[/C][/ROW]
[ROW][C]165[/C][C]1594[/C][C]1717.75147928994[/C][C]-123.751479289941[/C][/ROW]
[ROW][C]166[/C][C]1850[/C][C]1717.75147928994[/C][C]132.248520710059[/C][/ROW]
[ROW][C]167[/C][C]1998[/C][C]1717.75147928994[/C][C]280.248520710059[/C][/ROW]
[ROW][C]168[/C][C]2079[/C][C]1717.75147928994[/C][C]361.248520710059[/C][/ROW]
[ROW][C]169[/C][C]1494[/C][C]1717.75147928994[/C][C]-223.751479289941[/C][/ROW]
[ROW][C]170[/C][C]1057[/C][C]1321.69565217391[/C][C]-264.695652173913[/C][/ROW]
[ROW][C]171[/C][C]1218[/C][C]1321.69565217391[/C][C]-103.695652173913[/C][/ROW]
[ROW][C]172[/C][C]1168[/C][C]1321.69565217391[/C][C]-153.695652173913[/C][/ROW]
[ROW][C]173[/C][C]1236[/C][C]1321.69565217391[/C][C]-85.695652173913[/C][/ROW]
[ROW][C]174[/C][C]1076[/C][C]1321.69565217391[/C][C]-245.695652173913[/C][/ROW]
[ROW][C]175[/C][C]1174[/C][C]1321.69565217391[/C][C]-147.695652173913[/C][/ROW]
[ROW][C]176[/C][C]1139[/C][C]1321.69565217391[/C][C]-182.695652173913[/C][/ROW]
[ROW][C]177[/C][C]1427[/C][C]1321.69565217391[/C][C]105.304347826087[/C][/ROW]
[ROW][C]178[/C][C]1487[/C][C]1321.69565217391[/C][C]165.304347826087[/C][/ROW]
[ROW][C]179[/C][C]1483[/C][C]1321.69565217391[/C][C]161.304347826087[/C][/ROW]
[ROW][C]180[/C][C]1513[/C][C]1321.69565217391[/C][C]191.304347826087[/C][/ROW]
[ROW][C]181[/C][C]1357[/C][C]1321.69565217391[/C][C]35.304347826087[/C][/ROW]
[ROW][C]182[/C][C]1165[/C][C]1321.69565217391[/C][C]-156.695652173913[/C][/ROW]
[ROW][C]183[/C][C]1282[/C][C]1321.69565217391[/C][C]-39.695652173913[/C][/ROW]
[ROW][C]184[/C][C]1110[/C][C]1321.69565217391[/C][C]-211.695652173913[/C][/ROW]
[ROW][C]185[/C][C]1297[/C][C]1321.69565217391[/C][C]-24.6956521739130[/C][/ROW]
[ROW][C]186[/C][C]1185[/C][C]1321.69565217391[/C][C]-136.695652173913[/C][/ROW]
[ROW][C]187[/C][C]1222[/C][C]1321.69565217391[/C][C]-99.695652173913[/C][/ROW]
[ROW][C]188[/C][C]1284[/C][C]1321.69565217391[/C][C]-37.695652173913[/C][/ROW]
[ROW][C]189[/C][C]1444[/C][C]1321.69565217391[/C][C]122.304347826087[/C][/ROW]
[ROW][C]190[/C][C]1575[/C][C]1321.69565217391[/C][C]253.304347826087[/C][/ROW]
[ROW][C]191[/C][C]1737[/C][C]1321.69565217391[/C][C]415.304347826087[/C][/ROW]
[ROW][C]192[/C][C]1763[/C][C]1321.69565217391[/C][C]441.304347826087[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26489&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26489&T=4

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
116871717.75147928992-30.7514792899202
215081717.75147928994-209.751479289942
315071717.75147928994-210.751479289941
413851717.75147928994-332.751479289941
516321717.75147928994-85.751479289941
615111717.75147928994-206.751479289941
715591717.75147928994-158.751479289941
816301717.75147928994-87.751479289941
915791717.75147928994-138.751479289941
1016531717.75147928994-64.751479289941
1121521717.75147928994434.248520710059
1221481717.75147928994430.248520710059
1317521717.7514792899434.2485207100591
1417651717.7514792899447.2485207100591
1517171717.75147928994-0.751479289940944
1615581717.75147928994-159.751479289941
1715751717.75147928994-142.751479289941
1815201717.75147928994-197.751479289941
1918051717.7514792899487.248520710059
2018001717.7514792899482.248520710059
2117191717.751479289941.24852071005906
2220081717.75147928994290.248520710059
2322421717.75147928994524.248520710059
2424781717.75147928994760.248520710059
2520301717.75147928994312.248520710059
2616551717.75147928994-62.751479289941
2716931717.75147928994-24.7514792899409
2816231717.75147928994-94.751479289941
2918051717.7514792899487.248520710059
3017461717.7514792899428.2485207100591
3117951717.7514792899477.2485207100591
3219261717.75147928994208.248520710059
3316191717.75147928994-98.751479289941
3419921717.75147928994274.248520710059
3522331717.75147928994515.248520710059
3621921717.75147928994474.248520710059
3720801717.75147928994362.248520710059
3817681717.7514792899450.2485207100591
3918351717.75147928994117.248520710059
4015691717.75147928994-148.751479289941
4119761717.75147928994258.248520710059
4218531717.75147928994135.248520710059
4319651717.75147928994247.248520710059
4416891717.75147928994-28.7514792899409
4517781717.7514792899460.2485207100591
4619761717.75147928994258.248520710059
4723971717.75147928994679.248520710059
4826541717.75147928994936.248520710059
4920971717.75147928994379.248520710059
5019631717.75147928994245.248520710059
5116771717.75147928994-40.7514792899409
5219411717.75147928994223.248520710059
5320031717.75147928994285.248520710059
5418131717.7514792899495.248520710059
5520121717.75147928994294.248520710059
5619121717.75147928994194.248520710059
5720841717.75147928994366.248520710059
5820801717.75147928994362.248520710059
5921181717.75147928994400.248520710059
6021501717.75147928994432.248520710059
6116081717.75147928994-109.751479289941
6215031717.75147928994-214.751479289941
6315481717.75147928994-169.751479289941
6413821717.75147928994-335.751479289941
6517311717.7514792899413.2485207100591
6617981717.7514792899480.248520710059
6717791717.7514792899461.2485207100591
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17410761321.69565217391-245.695652173913
17511741321.69565217391-147.695652173913
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17714271321.69565217391105.304347826087
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18113571321.6956521739135.304347826087
18211651321.69565217391-156.695652173913
18312821321.69565217391-39.695652173913
18411101321.69565217391-211.695652173913
18512971321.69565217391-24.6956521739130
18611851321.69565217391-136.695652173913
18712221321.69565217391-99.695652173913
18812841321.69565217391-37.695652173913
18914441321.69565217391122.304347826087
19015751321.69565217391253.304347826087
19117371321.69565217391415.304347826087
19217631321.69565217391441.304347826087


Figures (Output of Computation)

Figure 1
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Figure 2
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Figure 9
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Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
Parameters (R input):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
R code (references can be found in the software module):
library(lattice)
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
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
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()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
load(file='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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$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$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation
Forecast', 1, TRUE)
a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')