What is the linear correlation coefficient?

MA3010 – Statistics for Health Professions SU20 B – Section D01

MA3010 – Statistics for Health Professions

Discussion 09.1: Correlation and Regression

For this discussion forum, refer to the Excel file Discussion 9-1 Data Set that contains information on the following:

1.Identify the worksheet (tab) that matches the first letter of your LAST name (i.e., if your last name were “Fudd” you would use the data from the “F” tab). This will be the source data you will use to answer your remaining questions for this initial post.

2.From your source data: What is the linear correlation coefficient?

3.Using the linear correlation coefficient obtained in step 2 and at a level of significance of 0.05, is there sufficient evidence to support the claim of linear correlation between the two variables? Explain. (Hint: In the Excel file you used to obtain the source data, there is a worksheet/tab named Critical Values. You will need to use it to support your claim on this part of the discussion).

Curtis Hill

Critical Values

Critical Values for the Correlation Coefficient
n	alpha = .05	alpha = .01
4	0.95	0.99
5	0.878	0.959
6	0.811	0.917
7	0.754	0.875
8	0.707	0.834
9	0.666	0.798
10	0.632	0.765
11	0.602	0.735
12	0.576	0.708
13	0.553	0.684
14	0.532	0.661
15	0.514	0.641
16	0.497	0.623
17	0.482	0.606
18	0.468	0.59
19	0.456	0.575
20	0.444	0.561
25	0.396	0.505
30	0.361	0.463
35	0.335	0.43
40	0.312	0.402
45	0.294	0.378
50	0.279	0.361
60	0.254	0.33
70	0.236	0.305
80	0.22	0.286
90	0.207	0.269
100	0.196	0.256

A

x	y
10	11.93
3	6.3
2	12.93
2	12.85
10	6.74
3	12.7
2	7.2
10	9.61
9	8.21
7	11.19
5	6.35

B

x	y
14	9.92
3	13.91
14	11.34
4	7.73
7	12.86
6	9.39
13	9.72
10	7.19
8	12.11
9	7.38
5	10.18

C

x	y
1	13.64
6	6.16
7	12.18
13	12.91
12	9.1
11	13.36
7	6.44
10	6.07
9	9.09
10	9.57
12	8.37

D

x	y
11	9.58
5	6.47
14	8.75
12	6.1
10	9.32
4	8.74
12	12.2
6	13.61
4	14.04
9	12.34
13	11.76

E

x	y
1	6.93
2	7.6
8	12.87
12	7.97
14	10.1
1	6.3
10	6.29
4	5.89
15	5.25
9	6.27
13	8.64

F

x	y
2	6.26
1	8.36
12	9.4
7	11.43
8	6.85
1	12.11
6	12.17
1	12.97
5	9.11
7	5.21
3	12.22

G

x	y
4	13.09
3	6.56
1	12.93
3	7.17
9	13.91
14	13.19
10	6.33
13	5.18
12	5.95
2	6.53
1	9.65

H

x	y
7	5.19
11	10.23
7	8.55
9	7.5
5	5.63
13	10.49
6	12.62
9	5.43
6	12.47
7	11.89
13	13.87

I

x	y
6	11.75
14	9.51
10	9.82
9	13.9
3	10.54
1	9.25
8	10.66
7	10.52
5	14.8
12	10.06
3	9.61

J

x	y
1	14.95
2	6.23
4	5.25
3	14.17
9	7.35
2	10.2
10	8.97
8	9.4
3	14.38
12	13.02
2	9

K

x	y
12	11.71
4	14.38
11	8.77
13	7.16
5	12.73
7	8.85
14	14.02
7	6.28
5	9.14
4	14.01
12	13.31

L

x	y
4	5.39
8	10.98
12	14.11
2	11.9
12	5.1
14	13.49
12	8.63
0	11.44
2	9.94
1	5.6
14	10.66

M

x	y
1	9.95
4	6.34
4	9.28
7	6.17
14	14.05
10	13.49
10	12.52
9	7.17
4	13.17
12	7.59
12	12.18

N

x	y
11	12.8
1	11.46
11	9.74
14	14.27
14	5.01
3	12.7
14	14.72
4	13.49
9	13.58
10	8.65
2	14.31

O

x	y
7	11.12
2	12.15
11	14.14
13	8.34
3	10.6
13	14.77
2	12.14
6	14.77
7	6.6
11	6.05
5	11.45

P

x	y
3	14.8
14	14.98
6	14.14
1	5.16
2	14.57
8	10.72
13	8.54
11	5.47
5	14.94
12	6.66
11	13.64

Q

x	y
5	10.57
6	6.23
15	13.08
6	8.99
12	9.94
4	10.06
4	12.44
14	6.45
2	14.84
7	10.09
4	7.77

R

x	y
1	12.31
14	11.34
9	14.23
9	11.67
14	7.51
11	14.77
11	9.92
6	11.43
2	7.51
5	5.58
13	13.8

S

x	y
14	9.73
11	13.55
7	5.6
1	13.89
1	10.64
15	13.73
9	6.69
13	5.99
5	6.05
5	12.51
13	7

T

x	y
14	9.48
1	13.79
7	10.14
9	14.78
3	6.64
7	12.96
4	8.45
10	8.17
11	9.82
6	12.43
12	13.49

U

x	y
5	9.08
1	5.87
10	7.91
14	14.93
11	9.39
11	10.14
13	12.56
1	11.55
8	14.02
8	14.74
9	11

V

x	y
11	13.43
14	14.77
11	9.55
15	12.31
5	7.67
12	8.48
13	7.82
2	13.11
5	7.82
3	12.53
7	8.31

W

x	y
4	7.89
6	12.22
6	12.92
3	9.32
5	7.45
8	9.74
5	14.15
11	8.09
10	5.91
1	14.84
13	5.29

X

x	y
9	7.81
13	13.62
7	12.34
7	7.75
9	14.86
13	14.28
12	8.05
1	5.2
8	8.89
14	10.62
13	12.34

Y

x	y
12	8.08
15	9.34
6	11.86
15	12.17
9	8.49
14	14.59
8	5.74
15	6.71
3	14.2
13	12.91
5	9.87

Z

x	y
6	12.28
1	14.55
14	8.78
4	6.27
3	7.67
2	5.15
2	14.73
9	11.07
3	5.6
6	6.4
11	7.83

What is the linear correlation coefficient?

Critical Values

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

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