Fill-in the table by computing X2, Y2, XY, and the total (sum) After filling in the table completely, compute the Pearson Product-Moment Correlation Coefficient (refer to pgs. 80-81)   X Y X2 Y2 XY   3 2 9 4 6   4 4 16 16 16   7 5 49 49 35   6 6 36 36 36   3 6 9 36 18   8 3 64 9 24   9 8 81 64 72   8 7 64 49 56   2 2 4 4 4   5 5 25 25 25 Total, Sum ∑ 55 48 357 256 3595     Interpret the correlation matrix below. Refer to page 86-87 in your textbook to determine the strength of relationships between the variables. Is there no relationship or is it weak, moderate, or strong? Is it positive (direct) or negative (indirect) correlation (refer to pg. 77)? What does it mean if there is a direct or indirect relationship among the variables? For example, the correlation coefficient for variables body weight in kg and total sleep is negative. Tell me what that means about the relationship between those two variables.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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Fill-in the table by computing X2, Y2, XY, and the total (sum)

After filling in the table completely, compute the Pearson Product-Moment Correlation Coefficient (refer to pgs. 80-81)

 

X

Y

X2

Y2

XY

 

3

2

9

4

6

 

4

4

16

16

16

 

7

5

49

49

35

 

6

6

36

36

36

 

3

6

9

36

18

 

8

3

64

9

24

 

9

8

81

64

72

 

8

7

64

49

56

 

2

2

4

4

4

 

5

5

25

25

25

Total, Sum ∑

55

48

357

256

3595

 

 

Interpret the correlation matrix below. Refer to page 86-87 in your textbook to determine the strength of relationships between the variables. Is there no relationship or is it weak, moderate, or strong? Is it positive (direct) or negative (indirect) correlation (refer to pg. 77)? What does it mean if there is a direct or indirect relationship among the variables? For example, the correlation coefficient for variables body weight in kg and total sleep is negative. Tell me what that means about the relationship between those two variables.

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