Question: The marketing manager of a larger supermarket chain would like to use shelf space to predict the sales of pet food. A random sample of 12 equal-sized stores is selected, with the following results.
Shelf Space(X) Weekly Sales(Y)
Store (Feet) ($)
1 5 160
2 5 220
3 5 140
4 10 190
5 10 240
6 10 260
7 15 230
8 15 270
9 15 280
10 20 260
11 20 290
12 20 310
(a) Construct a scatter plot. For these data,bo=145 and b1=7.4.
(b) Interpret the meaning of the slope,b1,in this problem.
(c) Predict the mean weekly sales of pet food for stores with 8 feet of shelf space for pet food.