The British Columbia Tourist Association distributes pamphlets, maps, and other tourist-related information to people who call a toll-free number and request information. The marketing manager decided to develop a multiple regression model to predict the number of calls that will be received in the coming week. A random sample of 20 weeks is selected:

Sale Space Place
1.6 5 0
2.2 5 1
1.4 5 0 Place = 1 indicates front of aisle
1.9 10 0 Place = 0 indicates back of aisle
2.4 10 0
2.6 10 1 Space = feet of shelf space
2.3 15 0
2.7 15 0 Sales given in 1000/week
2.8 15 1
2.6 20 0
2.9 20 0
3.1 20 1
1.9 10 0
2.4 10 0
2.6 10 1
2.3 15 0
2.7 15 0
1.4 5 0
1.9 10 0
2.4 10 0

a. Specify a suitable multiple regression equation to estimate with the data.
b. What percentage of the total variation in the number of calls is explained by the regression model?
c. Is the overall multiple regression equation statistically significant? Explain.
d. Which, if any, of the independent variables is statistically significant? Test using a significance level of 0.05. DOWNLOAD THE SOLUTION HERE