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

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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