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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 computationSat, 24 Sep 2011 14:22:16 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Sep/24/t1316888674cf78et0r71h350c.htm/, Retrieved Thu, 16 May 2024 13:55:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=124360, Retrieved Thu, 16 May 2024 13:55:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact242

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] [Q1 T6] [2008-11-18 17:59:48] [fe7291e888d31b8c4db0b24d6c0f75c6]
- RMPD      [Estimate Equation] [Runs Scored, OPS,...] [2011-09-24 18:22:16] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
851	280	810
836	265	792
819	281	795
744	274	765
732	251	734
732	273	763
716	257	734
714	276	747
705	257	739
697	250	734
694	264	726
685	259	741
685	251	715
679	256	725
678	243	719
675	250	716
651	253	717
643	258	721
639	253	707
634	245	701
626	244	682
621	257	698
608	247	705
606	243	693
599	259	690
594	246	663
586	244	674
575	238	653
553	241	670
544	234	640

Tables (Output of Computation)





Multiple Linear Regression - Estimated Regression Equation
RUNS[t] = -0.76184603155301 AVG[t] +2.0480877392202 OPS[t] -607.56147172981 + e[t]

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Estimated Regression Equation \tabularnewline
RUNS[t] = -0.76184603155301 AVG[t] +2.0480877392202 OPS[t] -607.56147172981 + e[t] \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=124360&T=0

[TABLE]
[ROW][C]Multiple Linear Regression - Estimated Regression Equation[/C][/ROW]
[ROW]
RUNS[t] = -0.76184603155301 AVG[t] +2.0480877392202 OPS[t] -607.56147172981 + e[t][/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=124360&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=124360&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
RUNS[t] = -0.76184603155301 AVG[t] +2.0480877392202 OPS[t] -607.56147172981 + e[t]






Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.E.T-STATH0: parameter = 02-tail p-value1-tail p-value
AVG[t]-0.7618460.596893-1.2763520.2127010.106351
OPS[t]2.0480880.1817111.27117100
Constant-607.56147275.411693-8.05659500
VariableElasticityS.E.*T-STATH0: |elast| = 12-tail p-value1-tail p-value
%AVG[t]-0.2896160.226909-3.1306990.0041610.00208
%OPS[t]2.1954780.1947876.1373581.0E-61.0E-6
%Constant-0.9058620.112437-0.8372510.4098010.204901
VariableStand. Coeff.S.E.*T-STATH0: coeff = 02-tail p-value1-tail p-value
S-AVG[t]-0.1215420.095226-1.2763520.2127010.106351
S-OPS[t]1.0733120.09522611.27117100
S-Constant00010.5
*Notecomputed against deterministic endogenous series
VariablePartial Correlation
AVG[t]-0.238543
OPS[t]0.908141
Constant-0.840375
Critical Values (alpha = 5%)
1-tail CV at 5%1.71
2-tail CV at 5%2.05

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Ordinary Least Squares \tabularnewline
VariableParameterS.E.T-STATH0: parameter = 02-tail p-value1-tail p-value \tabularnewline AVG[t]-0.7618460.596893-1.2763520.2127010.106351 \tabularnewline OPS[t]2.0480880.1817111.27117100 \tabularnewline Constant-607.56147275.411693-8.05659500 \tabularnewline \tabularnewline VariableElasticityS.E.*T-STATH0: |elast| = 12-tail p-value1-tail p-value \tabularnewline %AVG[t]-0.2896160.226909-3.1306990.0041610.00208 \tabularnewline %OPS[t]2.1954780.1947876.1373581.0E-61.0E-6 \tabularnewline %Constant-0.9058620.112437-0.8372510.4098010.204901 \tabularnewline VariableStand. Coeff.S.E.*T-STATH0: coeff = 02-tail p-value1-tail p-value \tabularnewline S-AVG[t]-0.1215420.095226-1.2763520.2127010.106351 \tabularnewline S-OPS[t]1.0733120.09522611.27117100 \tabularnewline S-Constant00010.5 \tabularnewline *Notecomputed against deterministic endogenous series \tabularnewline VariablePartial Correlation \tabularnewline AVG[t]-0.238543 \tabularnewline OPS[t]0.908141 \tabularnewline Constant-0.840375 \tabularnewline Critical Values (alpha = 5%) \tabularnewline 1-tail CV at 5%1.71 \tabularnewline 2-tail CV at 5%2.05 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=124360&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]AVG[t][/C]-0.761846[/C]0.596893[/C]-1.276352[/C]0.212701[/C]0.106351[/C][/ROW] [ROW][C]OPS[t][/C]2.048088[/C]0.18171[/C]11.271171[/C]0[/C]0[/C][/ROW] [ROW][C]Constant[/C]-607.561472[/C]75.411693[/C]-8.056595[/C]0[/C]0[/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]%AVG[t][/C]-0.289616[/C]0.226909[/C]-3.130699[/C]0.004161[/C]0.00208[/C][/ROW] [ROW][C]%OPS[t][/C]2.195478[/C]0.194787[/C]6.137358[/C]1.0E-6[/C]1.0E-6[/C][/ROW] [ROW][C]%Constant[/C]-0.905862[/C]0.112437[/C]-0.837251[/C]0.409801[/C]0.204901[/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-AVG[t][/C]-0.121542[/C]0.095226[/C]-1.276352[/C]0.212701[/C]0.106351[/C][/ROW] [ROW][C]S-OPS[t][/C]1.073312[/C]0.095226[/C]11.271171[/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]AVG[t][/C]-0.238543[/C][/ROW] [ROW][C]OPS[t][/C]0.908141[/C][/ROW] [ROW][C]Constant[/C]-0.840375[/C][/ROW] [ROW][C]Critical Values (alpha = 5%)[/C][/ROW] [ROW][C]1-tail CV at 5%[/C]1.71[/C][/ROW] [ROW][C]2-tail CV at 5%[/C]2.05[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=124360&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=124360&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
AVG[t]-0.7618460.596893-1.2763520.2127010.106351
OPS[t]2.0480880.1817111.27117100
Constant-607.56147275.411693-8.05659500
VariableElasticityS.E.*T-STATH0: |elast| = 12-tail p-value1-tail p-value
%AVG[t]-0.2896160.226909-3.1306990.0041610.00208
%OPS[t]2.1954780.1947876.1373581.0E-61.0E-6
%Constant-0.9058620.112437-0.8372510.4098010.204901
VariableStand. Coeff.S.E.*T-STATH0: coeff = 02-tail p-value1-tail p-value
S-AVG[t]-0.1215420.095226-1.2763520.2127010.106351
S-OPS[t]1.0733120.09522611.27117100
S-Constant00010.5
*Notecomputed against deterministic endogenous series
VariablePartial Correlation
AVG[t]-0.238543
OPS[t]0.908141
Constant-0.840375
Critical Values (alpha = 5%)
1-tail CV at 5%1.71
2-tail CV at 5%2.05






Multiple Linear Regression - Regression Statistics
Multiple R0.96956
R-squared0.940048
Adjusted R-squared0.935607
F-TEST211.678489
Observations30
Degrees of Freedom27
Multiple Linear Regression - Residual Statistics
Standard Error19.709987
Sum Squared Errors10489.057211
Log Likelihood-130.421513
Durbin-Watson2.216878
Von Neumann Ratio2.293322
# e[t] > 013
# e[t] < 017
# Runs19
Stand. Normal Runs Statistic1.236703

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Regression Statistics \tabularnewline

Multiple R
0.96956 \tabularnewline R-squared0.940048 \tabularnewline Adjusted R-squared0.935607 \tabularnewline F-TEST211.678489 \tabularnewline Observations30 \tabularnewline Degrees of Freedom27 \tabularnewline Multiple Linear Regression - Residual Statistics \tabularnewline Standard Error19.709987 \tabularnewline Sum Squared Errors10489.057211 \tabularnewline Log Likelihood-130.421513 \tabularnewline Durbin-Watson2.216878 \tabularnewline Von Neumann Ratio2.293322 \tabularnewline # e[t] > 013 \tabularnewline # e[t] < 017 \tabularnewline # Runs19 \tabularnewline Stand. Normal Runs Statistic1.236703 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=124360&T=2

[TABLE]

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

[ROW][C]Multiple R[/C]
0.96956[/C][/ROW] [ROW][C]R-squared[/C]0.940048[/C][/ROW] [ROW][C]Adjusted R-squared[/C]0.935607[/C][/ROW] [ROW][C]F-TEST[/C]211.678489[/C][/ROW] [ROW][C]Observations[/C]30[/C][/ROW] [ROW][C]Degrees of Freedom[/C]27[/C][/ROW] [ROW][C]Multiple Linear Regression - Residual Statistics[/C][/ROW] [ROW][C]Standard Error[/C]19.709987[/C][/ROW] [ROW][C]Sum Squared Errors[/C]10489.057211[/C][/ROW] [ROW][C]Log Likelihood[/C]-130.421513[/C][/ROW] [ROW][C]Durbin-Watson[/C]2.216878[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]2.293322[/C][/ROW] [ROW][C]# e[t] > 0[/C]13[/C][/ROW] [ROW][C]# e[t] < 0[/C]17[/C][/ROW] [ROW][C]# Runs[/C]19[/C][/ROW] [ROW][C]Stand. Normal Runs Statistic[/C]1.236703[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=124360&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=124360&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 R0.96956
R-squared0.940048
Adjusted R-squared0.935607
F-TEST211.678489
Observations30
Degrees of Freedom27
Multiple Linear Regression - Residual Statistics
Standard Error19.709987
Sum Squared Errors10489.057211
Log Likelihood-130.421513
Durbin-Watson2.216878
Von Neumann Ratio2.293322
# e[t] > 013
# e[t] < 017
# Runs19
Stand. Normal Runs Statistic1.236703






Multiple Linear Regression - Ad Hoc Selection Test Statistics
Akaike (1969) Final Prediction Error427.33196
Akaike (1973) Log Information Criterion6.05689
Akaike (1974) Information Criterion427.045447
Schwarz (1978) Log Criterion6.19701
Schwarz (1978) Criterion491.27801
Craven-Wahba (1979) Generalized Cross Validation431.648445
Hannan-Quinn (1979) Criterion446.623496
Rice (1984) Criterion437.04405
Shibata (1981) Criterion419.562288

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Ad Hoc Selection Test Statistics \tabularnewline

Akaike (1969) Final Prediction Error
427.33196 \tabularnewline Akaike (1973) Log Information Criterion6.05689 \tabularnewline Akaike (1974) Information Criterion427.045447 \tabularnewline Schwarz (1978) Log Criterion6.19701 \tabularnewline Schwarz (1978) Criterion491.27801 \tabularnewline Craven-Wahba (1979) Generalized Cross Validation431.648445 \tabularnewline Hannan-Quinn (1979) Criterion446.623496 \tabularnewline Rice (1984) Criterion437.04405 \tabularnewline Shibata (1981) Criterion419.562288 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=124360&T=3

[TABLE]

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

[ROW][C]Akaike (1969) Final Prediction Error[/C]
427.33196[/C][/ROW] [ROW][C]Akaike (1973) Log Information Criterion[/C]6.05689[/C][/ROW] [ROW][C]Akaike (1974) Information Criterion[/C]427.045447[/C][/ROW] [ROW][C]Schwarz (1978) Log Criterion[/C]6.19701[/C][/ROW] [ROW][C]Schwarz (1978) Criterion[/C]491.27801[/C][/ROW] [ROW][C]Craven-Wahba (1979) Generalized Cross Validation[/C]431.648445[/C][/ROW] [ROW][C]Hannan-Quinn (1979) Criterion[/C]446.623496[/C][/ROW] [ROW][C]Rice (1984) Criterion[/C]437.04405[/C][/ROW] [ROW][C]Shibata (1981) Criterion[/C]419.562288[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=124360&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=124360&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 Error427.33196
Akaike (1973) Log Information Criterion6.05689
Akaike (1974) Information Criterion427.045447
Schwarz (1978) Log Criterion6.19701
Schwarz (1978) Criterion491.27801
Craven-Wahba (1979) Generalized Cross Validation431.648445
Hannan-Quinn (1979) Criterion446.623496
Rice (1984) Criterion437.04405
Shibata (1981) Criterion419.562288






Multiple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression2164467.24278982233.621395
Residual2710489.057211388.4836
Total29174956.36032.975862069
F-TEST211.678489
p-value0

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
2164467.24278982233.621395 \tabularnewline Residual2710489.057211388.4836 \tabularnewline Total29174956.36032.975862069 \tabularnewline F-TEST211.678489 \tabularnewline p-value0 \tabularnewline
\hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=124360&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]
2[/C]164467.242789[/C]82233.621395[/C][/ROW] [ROW][C]Residual[/C]27[/C]10489.057211[/C]388.4836[/C][/ROW] [ROW][C]Total[/C]29[/C]174956.3[/C]6032.975862069[/C][/ROW] [ROW][C]F-TEST[/C]211.678489[/C][/ROW] [ROW][C]p-value[/C]0[/C][/ROW]
[/TABLE] Source: https://freestatistics.org/blog/index.php?pk=124360&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=124360&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
Regression2164467.24278982233.621395
Residual2710489.057211388.4836
Total29174956.36032.975862069
F-TEST211.678489
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):