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esteq.wasp

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Estimate Equation

Date of computation

Mon, 12 Nov 2007 11:04:34 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/12/t1194890388xn64kvspjsftmou.htm/, Retrieved Mon, 29 Apr 2024 02:15:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5280, Retrieved Mon, 29 Apr 2024 02:15:19 +0000

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Multiple Linear Regression - Estimated Regression Equation
AvgTAT[t] = -0.19980152874623 Low[t] +0.15099193324836 Medium[t] +0.32203702772875 High[t] +7.4110743774507 + e[t]

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Estimated Regression Equation \tabularnewline

AvgTAT[t] = -0.19980152874623 Low[t] +0.15099193324836 Medium[t] +0.32203702772875 High[t] +7.4110743774507 + e[t] \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5280&T=0

[TABLE]
[ROW][C]Multiple Linear Regression - Estimated Regression Equation[/C][/ROW]
[ROW]

AvgTAT[t] = -0.19980152874623 Low[t] +0.15099193324836 Medium[t] +0.32203702772875 High[t] +7.4110743774507 + e[t][/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5280&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5280&T=0

As an alternative you can also use a QR Code:

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

Multiple Linear Regression - Estimated Regression Equation
AvgTAT[t] = -0.19980152874623 Low[t] +0.15099193324836 Medium[t] +0.32203702772875 High[t] +7.4110743774507 + e[t]

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.E.	T-STATH0: parameter = 0	2-tail p-value	1-tail p-value
Low[t]	-0.199802	0.362493	-0.551187	0.601412	0.300706
Medium[t]	0.150992	0.286379	0.527245	0.616941	0.30847
High[t]	0.322037	0.329256	0.978073	0.365811	0.182905
Constant	7.411074	7.759618	0.955082	0.376416	0.188208

Variable	Elasticity	S.E.^*	T-STATH0: \|elast\| = 1	2-tail p-value	1-tail p-value
%Low[t]	-0.049624	0.090031	-10.556094	4.3E-05	2.1E-05
%Medium[t]	0.125333	0.237713	-3.679503	0.010337	0.005168
%High[t]	0.439907	0.449769	-1.245292	0.259451	0.129726
%Constant	0.484384	0.507165	-1.016664	0.348543	0.174271
Variable	Stand. Coeff.	S.E.^*	T-STATH0: coeff = 0	2-tail p-value	1-tail p-value
S-Low[t]	-0.221199	0.401314	-0.551187	0.601412	0.300706
S-Medium[t]	0.197597	0.374773	0.527245	0.616941	0.30847
S-High[t]	0.393632	0.402456	0.978073	0.365811	0.182905
S-Constant	0	0	0	1	0.5
^*Note	computed against deterministic endogenous series
Variable	Partial Correlation
Low[t]	-0.219532
Medium[t]	0.210427
High[t]	0.370828
Constant	0.363273
Critical Values (alpha = 5%)
1-tail CV at 5%	1.95
2-tail CV at 5%	2.45

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Ordinary Least Squares \tabularnewline

Variable

Parameter

S.E.

T-STATH0: parameter = 0

2-tail p-value

1-tail p-value \tabularnewline Low[t]

-0.199802

0.362493

-0.551187

0.601412

0.300706 \tabularnewline Medium[t]

0.150992

0.286379

0.527245

0.616941

0.30847 \tabularnewline High[t]

0.322037

0.329256

0.978073

0.365811

0.182905 \tabularnewline Constant

7.411074

7.759618

0.955082

0.376416

0.188208 \tabularnewline \tabularnewline

Variable

Elasticity

S.E.^*

T-STATH0: |elast| = 1

2-tail p-value

1-tail p-value \tabularnewline %Low[t]

-0.049624

0.090031

-10.556094

4.3E-05

2.1E-05 \tabularnewline %Medium[t]

0.125333

0.237713

-3.679503

0.010337

0.005168 \tabularnewline %High[t]

0.439907

0.449769

-1.245292

0.259451

0.129726 \tabularnewline %Constant

0.484384

0.507165

-1.016664

0.348543

0.174271 \tabularnewline

Variable

Stand. Coeff.

S.E.^*

T-STATH0: coeff = 0

2-tail p-value

1-tail p-value \tabularnewline S-Low[t]

-0.221199

0.401314

-0.551187

0.601412

0.300706 \tabularnewline S-Medium[t]

0.197597

0.374773

0.527245

0.616941

0.30847 \tabularnewline S-High[t]

0.393632

0.402456

0.978073

0.365811

0.182905 \tabularnewline S-Constant

0.5 \tabularnewline ^*Note

computed against deterministic endogenous series \tabularnewline

Variable

Partial Correlation \tabularnewline Low[t]

-0.219532 \tabularnewline Medium[t]

0.210427 \tabularnewline High[t]

0.370828 \tabularnewline Constant

0.363273 \tabularnewline Critical Values (alpha = 5%) \tabularnewline 1-tail CV at 5%

1.95 \tabularnewline 2-tail CV at 5%

2.45 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5280&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]Low[t][/C]

-0.199802[/C]

0.362493[/C]

-0.551187[/C]

0.601412[/C]

0.300706[/C][/ROW] [ROW][C]Medium[t][/C]

0.150992[/C]

0.286379[/C]

0.527245[/C]

0.616941[/C]

0.30847[/C][/ROW] [ROW][C]High[t][/C]

0.322037[/C]

0.329256[/C]

0.978073[/C]

0.365811[/C]

0.182905[/C][/ROW] [ROW][C]Constant[/C]

7.411074[/C]

7.759618[/C]

0.955082[/C]

0.376416[/C]

0.188208[/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]%Low[t][/C]

-0.049624[/C]

0.090031[/C]

-10.556094[/C]

4.3E-05[/C]

2.1E-05[/C][/ROW] [ROW][C]%Medium[t][/C]

0.125333[/C]

0.237713[/C]

-3.679503[/C]

0.010337[/C]

0.005168[/C][/ROW] [ROW][C]%High[t][/C]

0.439907[/C]

0.449769[/C]

-1.245292[/C]

0.259451[/C]

0.129726[/C][/ROW] [ROW][C]%Constant[/C]

0.484384[/C]

0.507165[/C]

-1.016664[/C]

0.348543[/C]

0.174271[/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-Low[t][/C]

-0.221199[/C]

0.401314[/C]

-0.551187[/C]

0.601412[/C]

0.300706[/C][/ROW] [ROW][C]S-Medium[t][/C]

0.197597[/C]

0.374773[/C]

0.527245[/C]

0.616941[/C]

0.30847[/C][/ROW] [ROW][C]S-High[t][/C]

0.393632[/C]

0.402456[/C]

0.978073[/C]

0.365811[/C]

0.182905[/C][/ROW] [ROW][C]S-Constant[/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]Low[t][/C]

-0.219532[/C][/ROW] [ROW][C]Medium[t][/C]

0.210427[/C][/ROW] [ROW][C]High[t][/C]

0.370828[/C][/ROW] [ROW][C]Constant[/C]

0.363273[/C][/ROW] [ROW][C]Critical Values (alpha = 5%)[/C][/ROW] [ROW][C]1-tail CV at 5%[/C]

1.95[/C][/ROW] [ROW][C]2-tail CV at 5%[/C]

2.45[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5280&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5280&T=1

As an alternative you can also use a QR Code:

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

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.E.	T-STATH0: parameter = 0	2-tail p-value	1-tail p-value
Low[t]	-0.199802	0.362493	-0.551187	0.601412	0.300706
Medium[t]	0.150992	0.286379	0.527245	0.616941	0.30847
High[t]	0.322037	0.329256	0.978073	0.365811	0.182905
Constant	7.411074	7.759618	0.955082	0.376416	0.188208

Variable	Elasticity	S.E.^*	T-STATH0: \|elast\| = 1	2-tail p-value	1-tail p-value
%Low[t]	-0.049624	0.090031	-10.556094	4.3E-05	2.1E-05
%Medium[t]	0.125333	0.237713	-3.679503	0.010337	0.005168
%High[t]	0.439907	0.449769	-1.245292	0.259451	0.129726
%Constant	0.484384	0.507165	-1.016664	0.348543	0.174271
Variable	Stand. Coeff.	S.E.^*	T-STATH0: coeff = 0	2-tail p-value	1-tail p-value
S-Low[t]	-0.221199	0.401314	-0.551187	0.601412	0.300706
S-Medium[t]	0.197597	0.374773	0.527245	0.616941	0.30847
S-High[t]	0.393632	0.402456	0.978073	0.365811	0.182905
S-Constant	0	0	0	1	0.5
^*Note	computed against deterministic endogenous series
Variable	Partial Correlation
Low[t]	-0.219532
Medium[t]	0.210427
High[t]	0.370828
Constant	0.363273
Critical Values (alpha = 5%)
1-tail CV at 5%	1.95
2-tail CV at 5%	2.45

Multiple Linear Regression - Regression Statistics
Multiple R	0.406314
R-squared	0.165091
F-TEST	0.39547
Observations	10
Degrees of Freedom	6
Multiple Linear Regression - Residual Statistics
Standard Error	2.420388
Sum Squared Errors	35.14968
Log Likelihood	-20.474537
Durbin-Watson	2.944651
Von Neumann Ratio	3.271835
# e[t] > 0	4
# e[t] < 0	6
# Runs	8
Runs Statistic	1.545367

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Regression Statistics \tabularnewline

Multiple R

0.406314 \tabularnewline R-squared

0.165091 \tabularnewline F-TEST

0.39547 \tabularnewline Observations

10 \tabularnewline Degrees of Freedom

6 \tabularnewline Multiple Linear Regression - Residual Statistics \tabularnewline Standard Error

2.420388 \tabularnewline Sum Squared Errors

35.14968 \tabularnewline Log Likelihood

-20.474537 \tabularnewline Durbin-Watson

2.944651 \tabularnewline Von Neumann Ratio

3.271835 \tabularnewline # e[t] > 0

4 \tabularnewline # e[t] < 0

6 \tabularnewline # Runs

8 \tabularnewline Runs Statistic

1.545367 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5280&T=2

[TABLE]

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

[ROW][C]Multiple R[/C]

0.406314[/C][/ROW] [ROW][C]R-squared[/C]

0.165091[/C][/ROW] [ROW][C]F-TEST[/C]

0.39547[/C][/ROW] [ROW][C]Observations[/C]

10[/C][/ROW] [ROW][C]Degrees of Freedom[/C]

6[/C][/ROW] [ROW][C]Multiple Linear Regression - Residual Statistics[/C][/ROW] [ROW][C]Standard Error[/C]

2.420388[/C][/ROW] [ROW][C]Sum Squared Errors[/C]

35.14968[/C][/ROW] [ROW][C]Log Likelihood[/C]

-20.474537[/C][/ROW] [ROW][C]Durbin-Watson[/C]

2.944651[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]

3.271835[/C][/ROW] [ROW][C]# e[t] > 0[/C]

4[/C][/ROW] [ROW][C]# e[t] < 0[/C]

6[/C][/ROW] [ROW][C]# Runs[/C]

8[/C][/ROW] [ROW][C]Runs Statistic[/C]

1.545367[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5280&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5280&T=2

As an alternative you can also use a QR Code:

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

Multiple Linear Regression - Regression Statistics
Multiple R	0.406314
R-squared	0.165091
F-TEST	0.39547
Observations	10
Degrees of Freedom	6
Multiple Linear Regression - Residual Statistics
Standard Error	2.420388
Sum Squared Errors	35.14968
Log Likelihood	-20.474537
Durbin-Watson	2.944651
Von Neumann Ratio	3.271835
# e[t] > 0	4
# e[t] < 0	6
# Runs	8
Runs Statistic	1.545367

Multiple Linear Regression - Ad Hoc Selection Test Statistics
Akaike (1969) Final Prediction Error	8.201592
Akaike (1973) Log Information Criterion	2.05703
Akaike (1974) Information Criterion	7.822705
Schwarz (1978) Log Criterion	2.178064
Schwarz (1978) Criterion	8.8292
Craven-Wahba (1979) Generalized Cross Validation	9.7638
Hannan-Quinn (1979) Criterion	6.850053
Rice (1984) Criterion	17.57484
Shibata (1981) Criterion	6.326942

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Ad Hoc Selection Test Statistics \tabularnewline

Akaike (1969) Final Prediction Error

8.201592 \tabularnewline Akaike (1973) Log Information Criterion

2.05703 \tabularnewline Akaike (1974) Information Criterion

7.822705 \tabularnewline Schwarz (1978) Log Criterion

2.178064 \tabularnewline Schwarz (1978) Criterion

8.8292 \tabularnewline Craven-Wahba (1979) Generalized Cross Validation

9.7638 \tabularnewline Hannan-Quinn (1979) Criterion

6.850053 \tabularnewline Rice (1984) Criterion

17.57484 \tabularnewline Shibata (1981) Criterion

6.326942 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5280&T=3

[TABLE]

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

[ROW][C]Akaike (1969) Final Prediction Error[/C]

8.201592[/C][/ROW] [ROW][C]Akaike (1973) Log Information Criterion[/C]

2.05703[/C][/ROW] [ROW][C]Akaike (1974) Information Criterion[/C]

7.822705[/C][/ROW] [ROW][C]Schwarz (1978) Log Criterion[/C]

2.178064[/C][/ROW] [ROW][C]Schwarz (1978) Criterion[/C]

8.8292[/C][/ROW] [ROW][C]Craven-Wahba (1979) Generalized Cross Validation[/C]

9.7638[/C][/ROW] [ROW][C]Hannan-Quinn (1979) Criterion[/C]

6.850053[/C][/ROW] [ROW][C]Rice (1984) Criterion[/C]

17.57484[/C][/ROW] [ROW][C]Shibata (1981) Criterion[/C]

6.326942[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5280&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5280&T=3

As an alternative you can also use a 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 Error	8.201592
Akaike (1973) Log Information Criterion	2.05703
Akaike (1974) Information Criterion	7.822705
Schwarz (1978) Log Criterion	2.178064
Schwarz (1978) Criterion	8.8292
Craven-Wahba (1979) Generalized Cross Validation	9.7638
Hannan-Quinn (1979) Criterion	6.850053
Rice (1984) Criterion	17.57484
Shibata (1981) Criterion	6.326942

Multiple Linear Regression - Analysis of Variance
ANOVA	DF	Sum of Squares	Mean Square
Regression	3	6.95032	2.316773
Residual	6	35.14968	5.85828
Total	9	42.1	4.6777777777778
F-TEST	0.39547
p-value	0.761242

\begin{tabular}{lllllllll}
\hline

Multiple Linear Regression - Analysis of Variance \tabularnewline

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

Regression

6.95032

2.316773 \tabularnewline Residual

35.14968

5.85828 \tabularnewline Total

42.1

4.6777777777778 \tabularnewline F-TEST

0.39547 \tabularnewline p-value

0.761242 \tabularnewline

\hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5280&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]

3[/C]

6.95032[/C]

2.316773[/C][/ROW] [ROW][C]Residual[/C]

6[/C]

35.14968[/C]

5.85828[/C][/ROW] [ROW][C]Total[/C]

9[/C]

42.1[/C]

4.6777777777778[/C][/ROW] [ROW][C]F-TEST[/C]

0.39547[/C][/ROW] [ROW][C]p-value[/C]

0.761242[/C][/ROW]

[/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5280&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5280&T=4

As an alternative you can also use a QR Code:

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

Multiple Linear Regression - Analysis of Variance
ANOVA	DF	Sum of Squares	Mean Square
Regression	3	6.95032	2.316773
Residual	6	35.14968	5.85828
Total	9	42.1	4.6777777777778
F-TEST	0.39547
p-value	0.761242

Parameters (Session):

Parameters (R input):

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

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Input Parameters & R Code