The manager of a car dealership wants to predict the relationship between number of sales persons and the number of cars sold. He collects some data to develop a regression model, which is given below

Week Number of cars sold Number of salespersons

1 80 6

2 90 8

3 48 4

4 55 5

5 60 7

6 75 9

7 100 11

8 70 6

9 65 7

10 98 10

(i) Run a regression analysis which explains the number of cars sold in terms of number of salespersons, and estimate the regression line?

(ii) Interpret the regression coefficient, and determine the significance of the regression coefficient?

(iii) Interpret the overall model fit?

(iv) What would be the number of cars sold if company deploys 15 salesperson