A psychologist conjectured that self-efficacy is related to academic performance
ID: 3226581 • Letter: A
Question
A psychologist conjectured that self-efficacy is related to academic performance. He collected the following data:
(a) Calculate the estimated Z scores for self-efficacy. The largest estimated Z score is
(b) Calculate the estimated Z scores for GPA. The smallest estimated Z score is
(c) The Pearson's correlation between self-efficacy and GPA is
(d) The psychologist is interested in testing H0: rho<=0, rho>=0 or rho=0
(g) The coefficient of determination is______.
Thankyou so much.
Self-efficacy GPA 37 3.1 2.0 3.6 2.6 P71066 G33232 S85396Explanation / Answer
Part-a
From following table largest Z-score for self-efficacy=1.17
Part-b
From following table smallest Z-score for GPA=-1.41
S.N.
Self Efficacy
GPA
Z-self-efficacy=(Self-6.2)/2.39
Z-GPA=(GPA-3)/0.71)
1
8
3.7
0.75
0.99
2
5
3.1
-0.50
0.14
3
3
2
-1.34
-1.41
4
9
3.6
1.17
0.85
5
6
2.6
-0.08
-0.56
Total
31
15
0.00
0.00
Mean
6.2
3
S
2.39
0.71
Part-c
Correlation coefficient r=0.899
Self Efficacy
GPA
Self Efficacy
1
GPA
0.898848973
1
Part-d
H0: rho=0
Part-e
Critical r=0.878
We reject the null hypothesis
Part-f
Critical r=0.959
We do not reject null hypothesis
Part-g
Coefficentof determination r2=0.8992=0.808
S.N.
Self Efficacy
GPA
Z-self-efficacy=(Self-6.2)/2.39
Z-GPA=(GPA-3)/0.71)
1
8
3.7
0.75
0.99
2
5
3.1
-0.50
0.14
3
3
2
-1.34
-1.41
4
9
3.6
1.17
0.85
5
6
2.6
-0.08
-0.56
Total
31
15
0.00
0.00
Mean
6.2
3
S
2.39
0.71
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