Question

The marketing manager of a large supermarket chain would like to determine the effect of shelf space (in feet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal-sized stores is selected, with the following results:

Store	Shelf Space (X)	Weekly Sales (Y)
1	10	2
2	10	2.6
3	10	1.8
4	15	2.3
5	15	2.8
6	15	3
7	20	2.7
8	20	3.1
9	20	3.2
10	25	3
11	25	3.3
12	25	3.5

Based on these data, what are the least squares regression coefficients of the Y-intercept (a) and slope (b)? Place your answers, rounded to 3 decimal places , in the blanks provided.

Answer 1

The statistical software output for this problem is:

Hence,

Y - intercept (a) = 1.480

Slope (b) = 0.074