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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Moduleesteq.wasp
Title produced by softwareEstimate Equation
Date of computationFri, 22 May 2009 00:56:08 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/May/22/t1242975737824k57q27khdp7x.htm/, Retrieved Sun, 05 May 2024 17:17:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40280, Retrieved Sun, 05 May 2024 17:17:48 +0000
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Original text written by user:Hypothesis: Exclusionary benefits are capitalized into large-scale multi-unit housing as square footage increases. I.e., price increases at a greater rate than area.
IsPrivate?No (this computation is public)
User-defined keywordsPortland John Ross Condos Housing Affordability
Estimated Impact198

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Estimate Equation] [Linear fit of pri...] [2009-05-22 06:56:08] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
170000	638
172000	631
198850	636
199000	640
199950	633
201300	781
225000	637
234000	639
234900	791
249000	639
279000	791
279000	793
279900	829
284900	773
289900	790
299000	920
329000	1061
339500	1205
349000	1205
379000	1207
389000	1207
389000	1207
399000	1205
399000	1205
419000	1207
429000	1207
429000	1207
479000	1210
479000	1210
479000	1207
479000	1207
579000	1207
599000	1873
647000	1827
649000	1826
649000	2133
675000	1468
699000	1928
709000	1831
729000	1831
769000	1833
819000	1894
819000	1938

Tables (Output of Computation)





Multiple Linear Regression - Estimated Regression Equation
Price[t] = +403.47480641625 Sq.ft.[t] -53888.068174771 + e[t]

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Estimated Regression Equation \tabularnewline
Price[t] = +403.47480641625 Sq.ft.[t] -53888.068174771 + e[t] \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=40280&T=0

[TABLE]
[ROW][C]Multiple Linear Regression - Estimated Regression Equation[/C][/ROW]
[ROW]
Price[t] = +403.47480641625 Sq.ft.[t] -53888.068174771 + e[t][/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=40280&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40280&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:

Multiple Linear Regression - Estimated Regression Equation
Price[t] = +403.47480641625 Sq.ft.[t] -53888.068174771 + e[t]






Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.E.T-STATH0: parameter = 02-tail p-value1-tail p-value
Sq.ft.[t]403.47480620.81506719.38378600
Constant-53888.06817526457.447154-2.0367830.0481640.024082
VariableElasticityS.E.*T-STATH0: |elast| = 12-tail p-value1-tail p-value
%Sq.ft.[t]1.12660.0581212.1782260.0351940.017597
%Constant-0.12660.062157-14.05153500
VariableStand. Coeff.S.E.*T-STATH0: coeff = 02-tail p-value1-tail p-value
S-Sq.ft.[t]0.9495340.04898619.38378600
S-Constant00010.5
*Notecomputed against deterministic endogenous series
VariablePartial Correlation
Sq.ft.[t]0.949534
Constant-0.303126
Critical Values (alpha = 5%)
1-tail CV at 5%1.69
2-tail CV at 5%2.02

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Ordinary Least Squares \tabularnewline
VariableParameterS.E.T-STATH0: parameter = 02-tail p-value1-tail p-value \tabularnewline Sq.ft.[t]403.47480620.81506719.38378600 \tabularnewline Constant-53888.06817526457.447154-2.0367830.0481640.024082 \tabularnewline \tabularnewline VariableElasticityS.E.*T-STATH0: |elast| = 12-tail p-value1-tail p-value \tabularnewline %Sq.ft.[t]1.12660.0581212.1782260.0351940.017597 \tabularnewline %Constant-0.12660.062157-14.05153500 \tabularnewline VariableStand. Coeff.S.E.*T-STATH0: coeff = 02-tail p-value1-tail p-value \tabularnewline S-Sq.ft.[t]0.9495340.04898619.38378600 \tabularnewline S-Constant00010.5 \tabularnewline *Notecomputed against deterministic endogenous series \tabularnewline VariablePartial Correlation \tabularnewline Sq.ft.[t]0.949534 \tabularnewline Constant-0.303126 \tabularnewline Critical Values (alpha = 5%) \tabularnewline 1-tail CV at 5%1.69 \tabularnewline 2-tail CV at 5%2.02 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=40280&T=1

[TABLE]

[ROW][C]Multiple Linear Regression - Ordinary Least Squares[/C][/ROW]

[ROW]
Variable[/C]Parameter[/C]S.E.[/C]T-STATH0: parameter = 0[/C]2-tail p-value[/C]1-tail p-value[/C][/ROW] [ROW][C]Sq.ft.[t][/C]403.474806[/C]20.815067[/C]19.383786[/C]0[/C]0[/C][/ROW] [ROW][C]Constant[/C]-53888.068175[/C]26457.447154[/C]-2.036783[/C]0.048164[/C]0.024082[/C][/ROW] [ROW][C][/C][/ROW] [ROW]Variable[/C]Elasticity[/C]S.E.*[/C]T-STATH0: |elast| = 1[/C]2-tail p-value[/C]1-tail p-value[/C][/ROW] [ROW][C]%Sq.ft.[t][/C]1.1266[/C]0.058121[/C]2.178226[/C]0.035194[/C]0.017597[/C][/ROW] [ROW][C]%Constant[/C]-0.1266[/C]0.062157[/C]-14.051535[/C]0[/C]0[/C][/ROW] [ROW]Variable[/C]Stand. Coeff.[/C]S.E.*[/C]T-STATH0: coeff = 0[/C]2-tail p-value[/C]1-tail p-value[/C][/ROW] [ROW][C]S-Sq.ft.[t][/C]0.949534[/C]0.048986[/C]19.383786[/C]0[/C]0[/C][/ROW] [ROW][C]S-Constant[/C]0[/C]0[/C]0[/C]1[/C]0.5[/C][/ROW] [ROW][C]*Note[/C]computed against deterministic endogenous series[/C][/ROW] [ROW]Variable[/C]Partial Correlation[/C][/ROW] [ROW][C]Sq.ft.[t][/C]0.949534[/C][/ROW] [ROW][C]Constant[/C]-0.303126[/C][/ROW] [ROW][C]Critical Values (alpha = 5%)[/C][/ROW] [ROW][C]1-tail CV at 5%[/C]1.69[/C][/ROW] [ROW][C]2-tail CV at 5%[/C]2.02[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=40280&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40280&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 - Ordinary Least Squares
VariableParameterS.E.T-STATH0: parameter = 02-tail p-value1-tail p-value
Sq.ft.[t]403.47480620.81506719.38378600
Constant-53888.06817526457.447154-2.0367830.0481640.024082
VariableElasticityS.E.*T-STATH0: |elast| = 12-tail p-value1-tail p-value
%Sq.ft.[t]1.12660.0581212.1782260.0351940.017597
%Constant-0.12660.062157-14.05153500
VariableStand. Coeff.S.E.*T-STATH0: coeff = 02-tail p-value1-tail p-value
S-Sq.ft.[t]0.9495340.04898619.38378600
S-Constant00010.5
*Notecomputed against deterministic endogenous series
VariablePartial Correlation
Sq.ft.[t]0.949534
Constant-0.303126
Critical Values (alpha = 5%)
1-tail CV at 5%1.69
2-tail CV at 5%2.02






Multiple Linear Regression - Regression Statistics
Multiple R0.949534
R-squared0.901615
Adjusted R-squared0.899216
F-TEST375.731178
Observations43
Degrees of Freedom41
Multiple Linear Regression - Residual Statistics
Standard Error61499.186737
Sum Squared Errors155068148740.06
Log Likelihood-534.141861
Durbin-Watson1.55192
Von Neumann Ratio1.588871
# e[t] > 018
# e[t] < 025
# Runs12
Stand. Normal Runs Statistic-3.150945

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Regression Statistics \tabularnewline

Multiple R
0.949534 \tabularnewline R-squared0.901615 \tabularnewline Adjusted R-squared0.899216 \tabularnewline F-TEST375.731178 \tabularnewline Observations43 \tabularnewline Degrees of Freedom41 \tabularnewline Multiple Linear Regression - Residual Statistics \tabularnewline Standard Error61499.186737 \tabularnewline Sum Squared Errors155068148740.06 \tabularnewline Log Likelihood-534.141861 \tabularnewline Durbin-Watson1.55192 \tabularnewline Von Neumann Ratio1.588871 \tabularnewline # e[t] > 018 \tabularnewline # e[t] < 025 \tabularnewline # Runs12 \tabularnewline Stand. Normal Runs Statistic-3.150945 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=40280&T=2

[TABLE]

[ROW][C]Multiple Linear Regression - Regression Statistics[/C][/ROW]

[ROW][C]Multiple R[/C]
0.949534[/C][/ROW] [ROW][C]R-squared[/C]0.901615[/C][/ROW] [ROW][C]Adjusted R-squared[/C]0.899216[/C][/ROW] [ROW][C]F-TEST[/C]375.731178[/C][/ROW] [ROW][C]Observations[/C]43[/C][/ROW] [ROW][C]Degrees of Freedom[/C]41[/C][/ROW] [ROW][C]Multiple Linear Regression - Residual Statistics[/C][/ROW] [ROW][C]Standard Error[/C]61499.186737[/C][/ROW] [ROW][C]Sum Squared Errors[/C]155068148740.06[/C][/ROW] [ROW][C]Log Likelihood[/C]-534.141861[/C][/ROW] [ROW][C]Durbin-Watson[/C]1.55192[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.588871[/C][/ROW] [ROW][C]# e[t] > 0[/C]18[/C][/ROW] [ROW][C]# e[t] < 0[/C]25[/C][/ROW] [ROW][C]# Runs[/C]12[/C][/ROW] [ROW][C]Stand. Normal Runs Statistic[/C]-3.150945[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=40280&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40280&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 - Regression Statistics
Multiple R0.949534
R-squared0.901615
Adjusted R-squared0.899216
F-TEST375.731178
Observations43
Degrees of Freedom41
Multiple Linear Regression - Residual Statistics
Standard Error61499.186737
Sum Squared Errors155068148740.06
Log Likelihood-534.141861
Durbin-Watson1.55192
Von Neumann Ratio1.588871
# e[t] > 018
# e[t] < 025
# Runs12
Stand. Normal Runs Statistic-3.150945






Multiple Linear Regression - Ad Hoc Selection Test Statistics
Akaike (1969) Final Prediction Error3958063921.3289
Akaike (1973) Log Information Criterion22.098954
Akaike (1974) Information Criterion3957798077.9799
Schwarz (1978) Log Criterion22.18087
Schwarz (1978) Criterion4295655289.6811
Craven-Wahba (1979) Generalized Cross Validation3966645089.7221
Hannan-Quinn (1979) Criterion4079180146.6172
Rice (1984) Criterion3976106377.9504
Shibata (1981) Criterion3941699832.7653

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Ad Hoc Selection Test Statistics \tabularnewline

Akaike (1969) Final Prediction Error
3958063921.3289 \tabularnewline Akaike (1973) Log Information Criterion22.098954 \tabularnewline Akaike (1974) Information Criterion3957798077.9799 \tabularnewline Schwarz (1978) Log Criterion22.18087 \tabularnewline Schwarz (1978) Criterion4295655289.6811 \tabularnewline Craven-Wahba (1979) Generalized Cross Validation3966645089.7221 \tabularnewline Hannan-Quinn (1979) Criterion4079180146.6172 \tabularnewline Rice (1984) Criterion3976106377.9504 \tabularnewline Shibata (1981) Criterion3941699832.7653 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=40280&T=3

[TABLE]

[ROW][C]Multiple Linear Regression - Ad Hoc Selection Test Statistics[/C][/ROW]

[ROW][C]Akaike (1969) Final Prediction Error[/C]
3958063921.3289[/C][/ROW] [ROW][C]Akaike (1973) Log Information Criterion[/C]22.098954[/C][/ROW] [ROW][C]Akaike (1974) Information Criterion[/C]3957798077.9799[/C][/ROW] [ROW][C]Schwarz (1978) Log Criterion[/C]22.18087[/C][/ROW] [ROW][C]Schwarz (1978) Criterion[/C]4295655289.6811[/C][/ROW] [ROW][C]Craven-Wahba (1979) Generalized Cross Validation[/C]3966645089.7221[/C][/ROW] [ROW][C]Hannan-Quinn (1979) Criterion[/C]4079180146.6172[/C][/ROW] [ROW][C]Rice (1984) Criterion[/C]3976106377.9504[/C][/ROW] [ROW][C]Shibata (1981) Criterion[/C]3941699832.7653[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=40280&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40280&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 - Ad Hoc Selection Test Statistics
Akaike (1969) Final Prediction Error3958063921.3289
Akaike (1973) Log Information Criterion22.098954
Akaike (1974) Information Criterion3957798077.9799
Schwarz (1978) Log Criterion22.18087
Schwarz (1978) Criterion4295655289.6811
Craven-Wahba (1979) Generalized Cross Validation3966645089.7221
Hannan-Quinn (1979) Criterion4079180146.6172
Rice (1984) Criterion3976106377.9504
Shibata (1981) Criterion3941699832.7653






Multiple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression11421071662306.41421071662306.4
Residual41155068148740.063782149969.2699
Total421576139811046.537527138358.25
F-TEST375.731178
p-value0

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Analysis of Variance \tabularnewline

ANOVA & DF & Sum of Squares & Mean Square \tabularnewline

Regression
11421071662306.41421071662306.4 \tabularnewline Residual41155068148740.063782149969.2699 \tabularnewline Total421576139811046.537527138358.25 \tabularnewline F-TEST375.731178 \tabularnewline p-value0 \tabularnewline
\hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=40280&T=4

[TABLE]

[ROW][C]Multiple Linear Regression - Analysis of Variance[/C][/ROW]

[ROW][C]ANOVA[/C][C]DF[/C][C]Sum of Squares[/C][C]Mean Square[/C][/ROW]

[ROW][C]Regression[/C]
1[/C]1421071662306.4[/C]1421071662306.4[/C][/ROW] [ROW][C]Residual[/C]41[/C]155068148740.06[/C]3782149969.2699[/C][/ROW] [ROW][C]Total[/C]42[/C]1576139811046.5[/C]37527138358.25[/C][/ROW] [ROW][C]F-TEST[/C]375.731178[/C][/ROW] [ROW][C]p-value[/C]0[/C][/ROW]
[/TABLE] Source: https://freestatistics.org/blog/index.php?pk=40280&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40280&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 - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression11421071662306.41421071662306.4
Residual41155068148740.063782149969.2699
Total421576139811046.537527138358.25
F-TEST375.731178
p-value0


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):