For (a) through (m), do not include an interaction term.
A. State the multiple regression equation that predicts sales based on shelf space and location.
B. Interpret the regression coefficients in (a).
C. Predict the weekly sales of pet food for a store with 8 feet of shelf space situated at the back of the aisle. Construct a 95% confidence interval estimate and a 95% prediction interval.
D. Perform a residual analysis on the results and determine whether the regression assumptions are valid.
E. Is there a significant relationship between sales and the two independent variables (shelf space and aisle position) at the 0.05 level of significance?
F. At the 0.05 level of significance, determine whether each independent variable makes a contribution to the regression model. Indicate the most appropriate regression model for this set of data.
G. Construct and interpret 95% confidence interval estimates of the population slope for the relationship between sales and shelf space and between sales and aisle location.