Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodies & Company restaurants. Annual Sales Growth (X) and Loyalty Card Us age (X of Net Sales) Loyalty 2.1 2.5 (n = 74 restaurants) Store 38 39 40 Loyalty 1.6 1.8 Store Growth Growth -8.3 7.1 7.4 -4.0 -3.9 -3.4 -3.3 7.7 7.9 2.2 2.2 2.8 1.7 2.1 2.5 41 42 8.1 8.3 8.5 -1.9 3.0 2.3 2.3 43 2.4 3.1 -e.8 44 -e.4 45 -e.2 e.2 2.2 2.3 8.6 8.7 2.2 1.3 1.8 46 10 47 8.8 e.5 2.5 1.9 11 2.1 2.5 48 8.8 12 0.6 e.8 49 8.9 2.0 2.0 2.0 50 51 52 9.1 9.5 1e.2 2.0 2.4 13 14 15 1.9 2.0 2.2 2.2 e.3 1.9 10.7 11.e 16 2.1 2.6 53 17 2.2 54 55 2.8 2.9 4.8 4.0 2.1 1.9 2.2 e.7 18 11.3 19 20 56 57 11.4 11.5 1.9 11.7 11.8 2.2 2.6 2.2 21 4.8 4.8 4.2 58 59 22 2.0 23 1.8 60 11.9 2.1 2.0 12.5 24 25 4.6 2.1 61 62 5.1 5.1 5.5 2.5 2.6 e.9 1.1 3.4 12.8 13.8 14.1 14.2 26 63 27 2.0 64 65 5.9 5.9 28 2.0 1.2 2.1 e.9 29 1.4 2.0 2.1 66 67 14.6 14.9 30 6.0 6.1 6.1 6.1 6.3 6.6 31 32 33 2.1 2.7 68 69 70 15.4 16.2 17.2 2.2 1.7 2.4 2.8 34 2.0 2.0 71 72 18.4 35 20.8 25.5 28.8 1.1 6.9 6.9 1.6 1.9 36 73 e.6 37 74 1.8 Click here for the Excel Data File () Find the correlation coefficient. (Round your answer to 3 decimal places. A negative value should be Indicated by a minus sign.) (e-1) To test the correlation coefficient for significance at a = 0.05. fill i the following. (Use the rounded value of the correletion coefficient from part b in all calculations. For final answers, round tcale to 3 decimal places and the p-value to 4 decimal places. Negative values should be indicated by a minus sign.) tcale p-value (c-2) There is no significant correlation. O True 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 loyalty card usage at 74 Noodies & Company restaurants. Annual Sales Growth (X) and Loyalty Card Us age (X of Net Sales) Loyalty 2.1 2.5 (n = 74 restaurants) Store 38 39 40 Loyalty 1.6 1.8 Store Growth Growth -8.3 7.1 7.4 -4.0 -3.9 -3.4 -3.3 7.7 7.9 2.2 2.2 2.8 1.7 2.1 2.5 41 42 8.1 8.3 8.5 -1.9 3.0 2.3 2.3 43 2.4 3.1 -e.8 44 -e.4 45 -e.2 e.2 2.2 2.3 8.6 8.7 2.2 1.3 1.8 46 10 47 8.8 e.5 2.5 1.9 11 2.1 2.5 48 8.8 12 0.6 e.8 49 8.9 2.0 2.0 2.0 50 51 52 9.1 9.5 1e.2 2.0 2.4 13 14 15 1.9 2.0 2.2 2.2 e.3 1.9 10.7 11.e 16 2.1 2.6 53 17 2.2 54 55 2.8 2.9 4.8 4.0 2.1 1.9 2.2 e.7 18 11.3 19 20 56 57 11.4 11.5 1.9 11.7 11.8 2.2 2.6 2.2 21 4.8 4.8 4.2 58 59 22 2.0 23 1.8 60 11.9 2.1 2.0 12.5 24 25 4.6 2.1 61 62 5.1 5.1 5.5 2.5 2.6 e.9 1.1 3.4 12.8 13.8 14.1 14.2 26 63 27 2.0 64 65 5.9 5.9 28 2.0 1.2 2.1 e.9 29 1.4 2.0 2.1 66 67 14.6 14.9 30 6.0 6.1 6.1 6.1 6.3 6.6 31 32 33 2.1 2.7 68 69 70 15.4 16.2 17.2 2.2 1.7 2.4 2.8 34 2.0 2.0 71 72 18.4 35 20.8 25.5 28.8 1.1 6.9 6.9 1.6 1.9 36 73 e.6 37 74 1.8 Click here for the Excel Data File () Find the correlation coefficient. (Round your answer to 3 decimal places. A negative value should be Indicated by a minus sign.) (e-1) To test the correlation coefficient for significance at a = 0.05. fill i the following. (Use the rounded value of the correletion coefficient from part b in all calculations. For final answers, round tcale to 3 decimal places and the p-value to 4 decimal places. Negative values should be indicated by a minus sign.) tcale p-value (c-2) There is no significant correlation. O True False d) Does it appear that increased loyalty card usage is associated with decreased sales growth? Yes O No
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 8PPS
Related questions
Topic Video
Question
100%
Transcribed Image Text:Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodies & Company restaurants.
Annual Sales Growth (X) and Loyalty Card Usage (% of Net Sales)
(n = 74 restaurants)
Loyalty
2.1
2.5
1.7
Store
Growth
7.1
7.4
Growth
Store
Loyalty
1.6
1.8
2.2
1
-8.3
-4.0
-3.9
38
2
39
40
7.7
7.9
4
-3.4
2.1
2.5
41
2.2
2.8
-3.3
42
43
8.1
8.3
-1.9
3.0
2.4
8.5
8.6
-e.8
2.3
2.3
44
3.1
2.2
-0.4
45
-e.2
-e.2
0.5
2.2
2.3
8.7
8.8
46
1.3
1.8
2.5
1.9
2.0
10
47
11
2.1
48
8.8
12
e.6
e.8
2.5
2.e
49
5e
51
8.9
9.1
9.5
13
14
1.9
2.0
2.0
2.6
2.4
15
2.0
52
1e.2
10.7
2.2
2.2
e.3
1.9
16
2.1
53
17
2.8
2.9
2.2
54
11.e
11.3
11.4
18
2.1
55
19
4.0
1.9
56
1.9
20
4.0
2.2
e.7
57
58
11.5
2.2
11.7
11.8
11.9
21
4.e
4.0
2.6
22
2.8
59
60
2.2
2.1
23
4.2
1.8
2.1
2.5
12.5
12.8
13.8
24
4.6
61
62
2.8
25
26
5.1
e.9
5.1
2.6
63
1.1
3.4
5.5
5.9
2.0
64
14.1
14.2
28
2.0
65
1.2
1.4
5.9
6.0
2.1
e.9
66
14.6
30
2.0
67
14.9
15.4
16.2
17.2
18.4
2.2
1.7
2.4
31
6.1
6.1
2.1
68
32
33
2.1
2.7
69
70
6.1
2.8
1.1
34
6.3
2.0
71
20.8
25.5
35
2.0
72
73
6.6
36
6.9
1.6
e.6
37
6.9
1.9
74
28.8
1.8
Click here for tne Excel Data File
() Find the correlation coefficient. (Round your answer to 3 declmal 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.)
tcale
p-value
(c-2) There is no significant correlation.
O True
False
d) Does it appear that increased loyalty card usage is associated with decreased sales growth?
Yes
O No
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt