Run a regression with S3 as the dependent variable and PRICE, AD, SHELF POS and STORE SIZE as independent variables. (1) Interpret the output.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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OBS S1
S2
S3
PRICE
SHELF POS AD
STORE SIZE AD GRP
1
225.000
190.00
205.00
24.00
0.00
0.00
34.00
105.00
2
323.00
210.00
241.00
24.00
0.00
0.00
41.00
110.00
3
424.00
275.00
256.00
24.00
0.00
1.00
32.000
165.00
4
268.00
250.00
261.00
24.00
0.00
1.00
28.00
190.00
5
224.00
190.00
229.00
24.00
1.00
0.00
34.00
105.00
331.00
178.00
267.00
24.00
1.00
0.00
41.00
110.00
7
254.00
157.00
185.00
24.00
1.00
1.00
23.00
165.00
8
492.00
351.00
365.00
24.00
1.00
1.00
37.00
190.00
9
167.00
163.00
145.00
29.00
0.00
0.00
33.00
105.00
10
226.00
148.00
170.00
29.00
0.00
0.00
39.00
110.00
11
210.00
134.00
128.00
29.00
0.00
1.00
30.00
165.00
12
289.00
212.00
200.00
29.00
0.00
1.00
27.00
190.00
13
204.00
200.00
175.00
29.00
1.00
0.00
37.00
105.00
14
288.00
171.00
247.00
29.00
1.00
0.00
43.00
110.00
15
245.00
120.00
117.00
29.00
1.00
1.00
30.00
165.00
16
161.00
116.00
111.00
29.00
1.00
1.00
19.00
190.00
17
161.00
141.00
111.00
34.00
0.00
0.00
32.00
105.00
18
246.00
126.00
184.00
34.00
0.00
0.00
42.00
110.00
19
128.00
83.00
83.00
34.00
0.00
1.00
29.00
165.00
20
154.00
122.00
102.00
34.00
0.00
1.00
24.00
190.00
21
163.00
116.00
116.00
34.00
1.00
0.00
32.00
105.00
22
151.00
112.00
119.00
34.00
1.00
0.00
36.00
110.00
23
180.00
100.00
75.00
34.00
1.00
1.00
29.00
165.00
24
150.00
122.000
101.00
34.00
1.00
1.00
24.00
190.00
Run a regression with S3 as the dependent variable and PRICE, AD, SHELF POS and STORE SIZE as
independent variables.
(i) Interpret the output.
(ii) Which independent variables are significant? Are the results reasonable?
(ii) Interpret the coefficients of PRICE, AD, STORE SIZE (and Shelf Pos).
LO
Transcribed Image Text:OBS S1 S2 S3 PRICE SHELF POS AD STORE SIZE AD GRP 1 225.000 190.00 205.00 24.00 0.00 0.00 34.00 105.00 2 323.00 210.00 241.00 24.00 0.00 0.00 41.00 110.00 3 424.00 275.00 256.00 24.00 0.00 1.00 32.000 165.00 4 268.00 250.00 261.00 24.00 0.00 1.00 28.00 190.00 5 224.00 190.00 229.00 24.00 1.00 0.00 34.00 105.00 331.00 178.00 267.00 24.00 1.00 0.00 41.00 110.00 7 254.00 157.00 185.00 24.00 1.00 1.00 23.00 165.00 8 492.00 351.00 365.00 24.00 1.00 1.00 37.00 190.00 9 167.00 163.00 145.00 29.00 0.00 0.00 33.00 105.00 10 226.00 148.00 170.00 29.00 0.00 0.00 39.00 110.00 11 210.00 134.00 128.00 29.00 0.00 1.00 30.00 165.00 12 289.00 212.00 200.00 29.00 0.00 1.00 27.00 190.00 13 204.00 200.00 175.00 29.00 1.00 0.00 37.00 105.00 14 288.00 171.00 247.00 29.00 1.00 0.00 43.00 110.00 15 245.00 120.00 117.00 29.00 1.00 1.00 30.00 165.00 16 161.00 116.00 111.00 29.00 1.00 1.00 19.00 190.00 17 161.00 141.00 111.00 34.00 0.00 0.00 32.00 105.00 18 246.00 126.00 184.00 34.00 0.00 0.00 42.00 110.00 19 128.00 83.00 83.00 34.00 0.00 1.00 29.00 165.00 20 154.00 122.00 102.00 34.00 0.00 1.00 24.00 190.00 21 163.00 116.00 116.00 34.00 1.00 0.00 32.00 105.00 22 151.00 112.00 119.00 34.00 1.00 0.00 36.00 110.00 23 180.00 100.00 75.00 34.00 1.00 1.00 29.00 165.00 24 150.00 122.000 101.00 34.00 1.00 1.00 24.00 190.00 Run a regression with S3 as the dependent variable and PRICE, AD, SHELF POS and STORE SIZE as independent variables. (i) Interpret the output. (ii) Which independent variables are significant? Are the results reasonable? (ii) Interpret the coefficients of PRICE, AD, STORE SIZE (and Shelf Pos). LO
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