Predict the weekly sales of pet food for a store with 8

Reference no: EM13636631

The marketing manager of a large supermarket chain faced the business problem of determining the effect on the sales of pet food of shelf space and whether the product was placed at the front (=1) or back (=0) of the aisle. Data are collected from a random sample of equal-sized stores. The results are shown in the following table (and organized and stored in Petfood):

Store	Shelf Space (Feet)	Location	Weekly Sales (Dolllars)
1	5	0	160
2	5	0	220
3	5	0	140
4	10	0	190
5	10	0	240
6	10	1	260
7	15	0	230
8	15	0	270
9	15	1	280
10	20	0	260
11	20	0	290
12	20	1	310

Store Shelf Space (Feet) Location Weekly Sales (Dolllars) 1 5 0 160 2 5 0 220 3 5 0 140 4 10 0 190 5 10 0 240 6 10 1 260 7 15 0 230 8 15 0 270 9 15 1 280 10 20 0 260 11 20 0 290 12 20 1 310 For (a) through (m), do not include an interaction term.

A. State the multiple regression equation that predicts sales based on shelf space and location. a. Y=a + b1X1 + b2X2 + b3X3

B. Interpret the regression coefficients in (a).

C. Predict the weekly sales of pet food for a store with 8 feet of shelf space situated at the back of the aisle. Construct a 95% confidence interval estimate and a 95% prediction interval.

D. Perform a residual analysis on the results and determine whether the regression assumptions are valid.

Reference no: EM13636631

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