A regression model relating x, number of sales persons at a branch office, to y, annual sales at the office ($1000s), has been developed. The computed output from a regression analysis of the data follows.
The regression equation is
Y= 80.0 + 50.0X
| Predictor |
Coef |
Stdev |
t-ratio |
| Constant |
80.0 |
11.333 |
7.06 |
| X |
50.0 |
5.482 |
9.12 |
| Analysis of Variance |
|
|
|
| SOURCE |
DF |
SS |
MS |
| Regression |
1 |
6828.6 |
6828.6 |
| Error |
28 |
2298.8 |
82.1 |
| Total 29 |
9127.4 |
|
|
a. Write the estimated regression equation
b. How many branch offices were involved in the study?
c. Compute the F statistic and test the significance of the relationship at a .05 level of significance.
d. Predict the annual sales at the Memphis branch office. This branch has 12 sales persons.