Question

Solve the missing values in the following regression model. Write down all solutions along with their...

Solve the missing values in the following regression model. Write down all solutions along with their key letter.

Regression Statistics
Multiple R 0.489538
R Square 0.239648
Adjusted R Square 0.231889
Standard Error 11.76656
Observations 100
ANOVA
df SS MS F Significance F
Regression 1 4276.457 30.88765 2.35673E-07
Residual 138.452
Total
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 99.0% Upper 99.0%
Intercept -24.1551 12.83013 -1.88268 0.062709 -49.61605579 1.305895 -57.8589 9.548787
Food 3.167042 0.569851 2.36E-07 2.03619109 4.297893 1.670083 4.664001
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

For simple linear regression model, the formula of degrees of freedom are as follows:

Degrees of freddom for residual = n - 2 = 100 - 2 = 98

(Where n = # of observations )

Degrees of freedom for total = n - 1 = 100 - 1 = 99

Formula of ME regression = ( SSreg / dfreg) = 4276.457

Formula of ME residual= ( SSres / dfres)

THerefore SSres. = MSres. * dfres. = 138.452 * 98 = 13568.3

SStotal = SSreg. + SSres. = 4276.457 + 13568.3 = 17844.76

t Stat = Corresponding coefficient / SE(coefficient) = 3.167042/0.569851 =5.557667

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