listed below is the regression output for sales vs (income and population) regre

Question

listed below is the regression output for sales vs (income and population)

regression analysis:

R2 0.358,

Adjusted

R2 0.198

R 0.599 , Std. Error 5.410 , n 11, k 2, dep. var. sales (000)

ANOVA TABLE:

a, write out the least squares multiple regression equation

b, interpret the partial regression cofficients b1 and b2

c, if a city has an average annual income of $44000 and a population of 100,000 residents, what would be the estimated annual sales of the franchise. also comment on the accuracy of this prediction.

d, does the variable population (X2) contribute significantly to the overall multiple regression model. use a proper statistical procedure to justify your conclusions

e, is the overall regression model valid.

Source SS df MS F p-value Regression 130.7934 2 65.3967 2.23 .1694 Residual 234.1157 8 29.2645 Total 364.9091 10

Explanation / Answer

The multiple regression equation is Y=(8.1617)X1+(0.3811)X2+(0.0405).

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