A finance manager employed by an automobile dealership believes that the number of cars sold in his local market can be predicted by the interest rate charged for a loan. Interest Rate (%) Number of Cars Sold (100s) 3 10 5 7 6 5 8 2 The finance manager performed a regression analysis of the number of cars sold and interest rates using the sample of data above. Shown below is a portion of the regression output. Regression Statistics Multiple R 0.998868 R2 0.997738 Coefficient Intercept 14.88462 Interest Rate -1.61538 1. Are there factors other than interest rate charged for a loan that the finance manager should consider in predicting future car sales? 2. Is interest rate charged for a loan the most important factor to be considered in predicting future car sales? Explain reasoning.The dealership's vice-president of marketing has requested a sales forecast at the prevailing interest rate of 7%. 3. As finance manager, what reasons would you convey to the vice-president in recommending this forecasting model? 4. Is the prediction of car sales at 7% a reflection of the current downturn in the economy? How might this impact the dealership's business?
A finance manager employed by an automobile dealership believes that the number of cars sold in his local market can be predicted by the interest rate charged for a loan.
|
Interest Rate (%) |
Number of Cars Sold (100s) |
|
3 |
10 |
|
5 |
7 |
|
6 |
5 |
|
8 |
2 |
The finance manager performed a regression analysis of the number of cars sold and interest rates using the sample of data above. Shown below is a portion of the regression output.
|
Regression Statistics |
|
|
Multiple R |
0.998868 |
|
R2 |
0.997738 |
|
Coefficient |
|
|
Intercept |
14.88462 |
|
Interest Rate |
-1.61538 |
1. Are there factors other than interest rate charged for a loan that the finance manager should consider in predicting future car sales?
2. Is interest rate charged for a loan the most important factor to be considered in predicting future car sales? Explain reasoning.The dealership's vice-president of marketing has requested a sales forecast at the prevailing interest rate of 7%.
3. As finance manager, what reasons would you convey to the vice-president in recommending this
4. Is the prediction of car sales at 7% a reflection of the current downturn in the economy? How might this impact the dealership's business?
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