listed below is the regression output for sales vs income an
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 |
Solution
The multiple regression equation is Y=(8.1617)X1+(0.3811)X2+(0.0405).
