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If the weekly hours worked and semester GPA had a Correlation Coefficient of .71

ID: 3316067 • Letter: I

Question

If the weekly hours worked and semester GPA had a Correlation Coefficient of .71, what would be the Coefficient of Determination?

50

.84

.50

d 71

Here's some data (weekly hours worked and semester GPA):

HOURS          GPA   

22                    3.6      

12                    3.6

39                    2.1

10                    4.0      

16                    2.8      

13                    3.3      

40                    1.4      

15                    3.7      

18                    2.1      

11                    3.4      

33                    1.0      

40                    2.2                 

25                    3.1   

71

a

50

b.

.84

c.

.50

d 71

Here's some data (weekly hours worked and semester GPA):

HOURS          GPA   

22                    3.6      

12                    3.6

39                    2.1

10                    4.0      

16                    2.8      

13                    3.3      

40                    1.4      

15                    3.7      

18                    2.1      

11                    3.4      

33                    1.0      

40                    2.2                 

25                    3.1   

71

Explanation / Answer

Correlation Coefficient = 0.71

then R - Squared or Coefficient of Determination = (0.71)2 = 0.5041

R2 = 0.5041

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