(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 = 0.05. fil in the following. (Use the rounded value of the correlation coefficient from pert b in all calculations. For final answers, round fcalc 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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solve the questions given in the image completely.

tcalc
p-value
c-2) There is no significant correlation.
O True
O False
(d)) Does it appear that increased loyalty card usage is associated with decreased sales growth?
Yes
O No
Transcribed Image Text:tcalc p-value c-2) There is no significant correlation. O True O False (d)) Does it appear that increased loyalty card usage is associated with decreased sales growth? Yes O No
Below are percentages for annual sales growth and net sales attributed to loyality card usage at 74 Noodies & Company restaurants.
Annual Sales Growth (*) and Loyalty Card Usage (X of Net Sales)
(n = 74 restaurants)
Loyalty%
Store
Growth
Store
Growth%
Loyalty%
1.6
38
7.1
7.4
1
-8.3
2.1
2.5
1.8
2.2
2
-4.8
39
3
-3.9
1.7
40
7.7
-3.4
2.1
41
7.9
2.2
-3.3
2.8
2.5
3.e
42
8.1
-1.9
43
8.3
2.4
2.3
2.3
2.2
-0.8
44
8.5
3.1
8.
-0.4
45
8.6
2.2
9.
-0.2
46
8.7
1.3
10
-0.2
2.3
47
8.8
1.8
2.1
2.5
11
0.5
48
2.5
8.8
8.9
12
0.6
49
1.9
13
0.8
2.0
9.1
2.8
14
1.9
2.0
51
9.5
2.4
2.2
15
2.0
2.0
52
10.2
2.6
53
10.7
11.0
16
2.1
2.2
2.8
2.9
17
2.2
54
0.3
18
2.1
55
11.3
1.9
19
4.0
1.9
56
11.4
11.5
1.9
20
4.0
2.2
57
2.2
21
4.0
8.7
58
11.7
2.6
22
4.8
2.0
59
11.8
2.2
11.9
12.5
23
4.2
1.8
60
2.1
24
4.6
2.1
61
2.0
25
5.1
2.5
62
12.8
e.9
26
5.1
2.6
63
13.8
1.1
27
5.5
2.0
64
14.1
3.4
5.9
5.9
28
2.0
65
14.2
1.2
2.1
29
1.4
66
14.6
30
6.8
2.0
67
14.9
0.9
31
6.1
2.1
68
15.4
2.2
32
69
16.2
17.2
6.1
2.1
1.7
33
6.1
2.7
70
2.4
34
6.3
2.0
71
18.4
2.8
20.8
25.5
35
6.6
2.0
72
1.1
36
6.9
1.6
73
e.6
37
6.9
1.9
74
28.8
1.8
Click here for the Excel Data File
(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 = 0.05, fill in the following. (Use the rounded value of the correlation
coefficlent from part b in all calculations. For final answers, round fcalc 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.
Transcribed Image Text:Below are percentages for annual sales growth and net sales attributed to loyality card usage at 74 Noodies & Company restaurants. Annual Sales Growth (*) and Loyalty Card Usage (X of Net Sales) (n = 74 restaurants) Loyalty% Store Growth Store Growth% Loyalty% 1.6 38 7.1 7.4 1 -8.3 2.1 2.5 1.8 2.2 2 -4.8 39 3 -3.9 1.7 40 7.7 -3.4 2.1 41 7.9 2.2 -3.3 2.8 2.5 3.e 42 8.1 -1.9 43 8.3 2.4 2.3 2.3 2.2 -0.8 44 8.5 3.1 8. -0.4 45 8.6 2.2 9. -0.2 46 8.7 1.3 10 -0.2 2.3 47 8.8 1.8 2.1 2.5 11 0.5 48 2.5 8.8 8.9 12 0.6 49 1.9 13 0.8 2.0 9.1 2.8 14 1.9 2.0 51 9.5 2.4 2.2 15 2.0 2.0 52 10.2 2.6 53 10.7 11.0 16 2.1 2.2 2.8 2.9 17 2.2 54 0.3 18 2.1 55 11.3 1.9 19 4.0 1.9 56 11.4 11.5 1.9 20 4.0 2.2 57 2.2 21 4.0 8.7 58 11.7 2.6 22 4.8 2.0 59 11.8 2.2 11.9 12.5 23 4.2 1.8 60 2.1 24 4.6 2.1 61 2.0 25 5.1 2.5 62 12.8 e.9 26 5.1 2.6 63 13.8 1.1 27 5.5 2.0 64 14.1 3.4 5.9 5.9 28 2.0 65 14.2 1.2 2.1 29 1.4 66 14.6 30 6.8 2.0 67 14.9 0.9 31 6.1 2.1 68 15.4 2.2 32 69 16.2 17.2 6.1 2.1 1.7 33 6.1 2.7 70 2.4 34 6.3 2.0 71 18.4 2.8 20.8 25.5 35 6.6 2.0 72 1.1 36 6.9 1.6 73 e.6 37 6.9 1.9 74 28.8 1.8 Click here for the Excel Data File (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 = 0.05, fill in the following. (Use the rounded value of the correlation coefficlent from part b in all calculations. For final answers, round fcalc 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.
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