A social psychologist was interested in the relationship between social support and success at university. Her theory is that people with more social connections at university will have better adjustment and thus receive better grades. The researcher discovered that those who were in regular contact with more peers at university had a higher GPA (semester 1 results), r(37) = .40.      Social Contacts GPA (1-7) Mean 9.50 5.35 SD 3.65 2.65

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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A social psychologist was interested in the relationship between social support and success at university. Her theory is that people with more social connections at university will have better adjustment and thus receive better grades. The researcher discovered that those who were in regular contact with more peers at university had a higher GPA (semester 1 results), r(37) = .40. 

 

 

Social Contacts

GPA (1-7)

Mean

9.50

5.35

SD

3.65

2.65

 

 

In the regression equation predicting GPA, what is the value of b?

A) 0.29

B) 0.64

C) 3.87

D) 0.55

 

 

 

 

 

What is the regression equation for predicting GPA?

A) Ŷ = 0.64X + 0.73

B) Ŷ = 0.29X + 2.60

C) Ŷ = 0.29X + 8.11

D) Ŷ = 0.55X + 6.56

 

 

 

 

 

 

Greg has a total of 2 social contacts, what is the best estimate of his GPA?

A) 2.01

B) 8.66

C) 3.18

D) 7.66

 

 

 

 

 

 

Greg actually has a GPA of 4.60 What is the residual score?

A) 2.59

B) -4.06

C) -3.06

D) 1.42

 

 

 

 

 

 

 

 

How much of the variance in GPA can be explained by the variance in social contacts?

A) 20.00%

B) 40.00%

C) 16.00%

D) 63.24%

 

 

 

 

 

 

 

 

What is the standard error of the estimate?

A) 2.23

B) 3.35

C) 2.43

D) 3.07

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Follow-up Question

Greg actually has a GPA of 4.60 What is the residual score?

A) 2.59

B) -4.06

C) -3.06

D) 1.42

 

 

 

 

 

 

 

 

How much of the variance in GPA can be explained by the variance in social contacts?

A) 20.00%

B) 40.00%

C) 16.00%

D) 63.24%

 

 

 

 

 

 

 

 

What is the standard error of the estimate?

A) 2.23

B) 3.35

C) 2.43

D) 3.07

 
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