The owner of a large chain of exclusive hotels has selected nine of her smaller hotels for
Question:
The owner of a large chain of exclusive hotels has selected nine of her smaller hotels for a test in which she varies the number of radio ads X1, and the amount of the room discount X2 to see how this might affect the number of new customers who rent rooms during the following week. The results are shown in the table below:
Hotel | New Customers (Y) | Number of Radio Ads (X1) | Discount Amount (X2) |
1 | 23 | 4 | $100 |
2 | 30 | 7 | 20 |
3 | 20 | 3 | 40 |
4 | 26 | 6 | 25 |
5 | 20 | 2 | 50 |
6 | 18 | 5 | 30 |
7 | 17 | 4 | 25 |
8 | 31 | 8 | 80 |
9 | 28 | 6 | 70 |
Determine the least-squares multiple regression equation.
Interpret the Y- intercept of the regression equation.
Interpret each of the estimated regression coefficients.
What is the estimated number of new customers who rent rooms if the number of radio ads is 6 and a $70 discount is offered?
Determine the approximate 95% prediction interval for the number of new customers who rent rooms when the number of radio ads is 5 and the discount is $80.
What is the value for the percentage of variation explained, and exactly what does it indicate?
At the 0.05 level, is the overall regression equation in part a significant?
Use the 0.05 level to test whether each regression coefficient differs significantly from zero.
Construct a 95% confidence interval for each regression coefficient in the regression equation.
Pricing Strategies A Marketing approach
ISBN: 978-1412964746
1st edition
Authors: Robert M. Schindler