On the picture are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. Find the correlation coefficient r, and t-calc. a=.05
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
On the picture are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. Find the
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Data
Extra Sheet
Noodles & Company Sales Growth and Loyalty Card Sales (n = 74 restaurants)
Loyalty Card % of Net
Sales
Annual Sales
Growth (%)
Restaurant
Growth%
Loyalty%
-8.3
Learning Stats
2.1
2
-4.0
2.5
Copyright © 2019
by
The McGraw-Hill Companies
3
-3.9
1.7
4
-3.4
2.1
5
-3.3
2.5
This spreadsheet is intended solely
for educational purposes by
licensed users of Connect
6
-1.9
3.0
2.3
2.3
7
-0.8
8
-0.4
-0.2
2.2
10
-0.2
2.3
11
0.5
2.1
12
0.6
2.5
13
0.8
2.0
Source: Noodles & Company
14
1.9
2.0
15
2.0
2.0
16
2.1
2.6
17
2.8
2.2
18
19
2.9
2.1
4.0
1.9
20
4.0
2.2
21
22
4.0
0.7
4.0
2.0
23
4.2
1.8
24
25
26
27
4.6
2.1
5.1
2.5
2.6
2.0
5.1
5.5
28
5.9
2.0
29
5.9
1.4
30
31
32
6.0
2.0
6.1
2.1
6.1
2.1
33
6.1
2.7
34
6.3
2.0
35
6.6
2.0
36
6.9
1.6
37
6.9
1.9
38
7.1
1.6
39
7.4
1.8
40
7.7
2.2
41
7.9
2.2
42
8.1
2.8
43
8.3
2.4
44
8.5
3.1
45
8.6
2.2
46
8.7
1.3
47
8.8
1.8
48
8.8
2.5
49
8.9
1.9
50
9.1
2.0
51
9.5
2.4
52
10.2
2.2
53
10.7
2.2
54
11.0
0.3
55
11.3
1.9
56
11.4
1.9
57
11.5
2.2
58
11.7
2.6
59
11.8
2.2
60
11.9
2.1
61
12.5
2.0
62
12.8
0.9
63
13.8
1.1
64
14.1
3.4
65
14.2
1.2
66
14,6
2.1
67
14.9
0.9
68
15.4
2.2
69
16.2
1.7
70
71
17.2
2.4
18.4
2.8
72
20.8
1.1
73
25.5
0.6
74
28.8
1.8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa42ff4cc-a2b8-4d15-90f2-a62b0dae0cf4%2F6e350724-8277-4237-995f-6efa5e7d0321%2F0dflgo_processed.png&w=3840&q=75)
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