It is assumed that achievement test scores should be correlated with student\'s
ID: 3248493 • Letter: I
Question
It is assumed that achievement test scores should be correlated with student's classroom performance. One would expect that students who consistently perform well in the classroom (tests, quizes, etc.) would also perform well on a standardized achievement test (0 - 100 with 100 indicating high achievement). A teacher decides to examine this hypothesis. At the end of the academic year, she computes a correlation between the students’ achievement test scores and the overall GPA for each student computed over the entire year. The data for her class are provided below. Please provide your SPSS output tables.
Achievement
G.P.A.
98
3.6
96
2.7
94
3.1
88
4.0
91
3.2
77
3.0
86
3.8
71
2.6
59
3.0
63
2.2
84
1.7
79
3.1
75
2.6
72
2.9
86
2.4
85
3.4
71
2.8
93
3.7
90
3.2
62
1.6
a. Compute the correlation coefficient using SPSS.
b. What does this statistic mean concerning the relationship between achievement test performance and GPA?
c. What percent of the variability is accounted for by the relationship between the two variables?
Achievement
G.P.A.
98
3.6
96
2.7
94
3.1
88
4.0
91
3.2
77
3.0
86
3.8
71
2.6
59
3.0
63
2.2
84
1.7
79
3.1
75
2.6
72
2.9
86
2.4
85
3.4
71
2.8
93
3.7
90
3.2
62
1.6
Explanation / Answer
(a) using the ms-excel the correlation coefficeint between achievment and GPA is=r=0.5241
(b) there is positve correlation between the two variables achievment and GPA . if achivement is more than GPA will be more
(c) propotion of variability=r*r=0.5241*0.5241=0.2747
% of variability=27.47
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