Annual Sales Growth (px;) and Loyalty Card Usage (px; of Net Sales) (n = 74 restaurants) Loyalty% Store 1 2 3 NAWNI 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 Growth% -7.9 -7.3 -7.2 -6.7 -4.6 -1.7 -1.5 -1.0 -0.9 -0.6 0.4 0.5 0.8 0.8 1.1 1.1 1.3 1.7 4.0 4.0 4.1 4.2 4.4 4.5 4.6 4.7 4.7 4.9 4.9 5.1 5.2 5.2 5.6 5.7 6.3 6.7 6.9 2.0 2.0 2.3 1.9 2.1 1.3 1.2 2.3 1.2 2.3 2.4 2.3 1.8 1.6 2.4 2.4 2.5 2.6 0.5 2.2 2.2 1.7 2.3 1.9 2.4 2.5 2.3 1.6 1.4 1.7 2.4 2.1 2.5 1.9 1.5 1.7 2.6 Store 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 Growth% 7.1 7.1 7.7 7.9 8.0 8.0 8.1 8.2 8.6 8.8 8.8 8.9 9.3 9.5 10.7 10.8 10.9 11.0 11.0 11.1 11.8 11.9 12.0 13.1 13.3 13.9 14.1 14.7 15.2 16.9 17.2 17.6 18.1 21.0 27.9 28.0 28.5 Loyalty% 2.3 1.4 2.5 1.8 2.3 2.0 1.2 1.5 2.0 0.6 1.6 1.7 2.5 1.3 1.6 1.9 2.6 1.5 2.2 2.5 0.6 1.3 2.0 1.9 1.7 1.6 1.6 1.2 2.0 0.9 1.4 1.2 1.7 1.5 2.4 0.5 1.7

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Author:Amos Gilat
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Question
Annual Sales Growth (px;) and Loyalty Card Usage (px; of Net Sales)
(n = 74 restaurants)
Loyalty%
2.0
2.0
2.3
1.9
2.1
1.3
Store
1
868LOS DENP
2
3
4
7
9
10
11
12
13
14
15
16
17
18
19
TENN
20
21
22
23
24
25
26
27
28
29
~ m m m m m m m m
30
31
4557WNP
32
33
34
35
36
37
Growth%
-7.9
-7.3
-7.2
-6.7
-4.6
-1.7
-1.5
-1.0
-0.9
-0.6
0.4
0.5
0.8
0.8
1.1
1.1
1.3
1.7
4.0
4.0
4.1
4.2
4.4
4.5
4.6
4.7
4.7
4.9
4.9
5.1
5.2
5.2
5.6
5.7
6.3
6.7
6.9
1.2
2.3
1.2
2.3
2.4
2.3
1.8
1.6
2.4
2.4
2.5
2.6
0.5
2.2
2.2
1.7
2.3
1.9
2.4
2.5
2.3
1.6
1.4
1.7
2.4
2.1
2.5
1.9
1.5
1.7
2.6
Store
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
FW
74
Growth%
7.1
7.1
7.7
7.9
8.0
8.0
8.1
8.2
8.6
8.8
8.8
8.9
9.3
9.5
10.7
10.8
10.9
11.0
11.0
11.1
11.8
11.9
12.0
13.1
13.3
13.9
14.1
14.7
15.2
16.9
17.2
17.6
18.1
21.0
27.9
28.0
28.5
Loyalty%
2.3
1.4
2.5
1.8
2.3
2.0
1.2
1.5
2.0
0.6
1.6
1.7
2.5
1.3
1.6
1.9
2.6
1.5
2.2
2.5
0.6
1.3
2.0
1.9
1.7
1.6
1.6
1.2
2.0
0.9
1.4
1.2
1.7
1.5
2.4
0.5
1.7
Transcribed Image Text:Annual Sales Growth (px;) and Loyalty Card Usage (px; of Net Sales) (n = 74 restaurants) Loyalty% 2.0 2.0 2.3 1.9 2.1 1.3 Store 1 868LOS DENP 2 3 4 7 9 10 11 12 13 14 15 16 17 18 19 TENN 20 21 22 23 24 25 26 27 28 29 ~ m m m m m m m m 30 31 4557WNP 32 33 34 35 36 37 Growth% -7.9 -7.3 -7.2 -6.7 -4.6 -1.7 -1.5 -1.0 -0.9 -0.6 0.4 0.5 0.8 0.8 1.1 1.1 1.3 1.7 4.0 4.0 4.1 4.2 4.4 4.5 4.6 4.7 4.7 4.9 4.9 5.1 5.2 5.2 5.6 5.7 6.3 6.7 6.9 1.2 2.3 1.2 2.3 2.4 2.3 1.8 1.6 2.4 2.4 2.5 2.6 0.5 2.2 2.2 1.7 2.3 1.9 2.4 2.5 2.3 1.6 1.4 1.7 2.4 2.1 2.5 1.9 1.5 1.7 2.6 Store 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 FW 74 Growth% 7.1 7.1 7.7 7.9 8.0 8.0 8.1 8.2 8.6 8.8 8.8 8.9 9.3 9.5 10.7 10.8 10.9 11.0 11.0 11.1 11.8 11.9 12.0 13.1 13.3 13.9 14.1 14.7 15.2 16.9 17.2 17.6 18.1 21.0 27.9 28.0 28.5 Loyalty% 2.3 1.4 2.5 1.8 2.3 2.0 1.2 1.5 2.0 0.6 1.6 1.7 2.5 1.3 1.6 1.9 2.6 1.5 2.2 2.5 0.6 1.3 2.0 1.9 1.7 1.6 1.6 1.2 2.0 0.9 1.4 1.2 1.7 1.5 2.4 0.5 1.7
(b) Find the correlation coefficient. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)
(c-1) To test the correlation coefficient for significance at a = 0.1, fill in the following. (Use the rounded value of the correlation
coefficient from part b in all calculations. For final answers, round tcalc to 3 decimal places and the p-value to 4 decimal places.
Negative values should be indicated by a minus sign.)
tcalc
p-value
(c-2) There is no significant correlation.
O False
O True
(d) Does it appear that increased loyalty card usage is associated with decreased sales growth?
O Yes
O No
Transcribed Image Text:(b) Find the correlation coefficient. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (c-1) To test the correlation coefficient for significance at a = 0.1, fill in the following. (Use the rounded value of the correlation coefficient from part b in all calculations. For final answers, round tcalc to 3 decimal places and the p-value to 4 decimal places. Negative values should be indicated by a minus sign.) tcalc p-value (c-2) There is no significant correlation. O False O True (d) Does it appear that increased loyalty card usage is associated with decreased sales growth? O Yes O No
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