A study was conducted to detemine whether a the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for 10 students are shown in the table below. Student Verbal Score a Final Grade y 1| 79| 93 21 67 77 3| 78 91 4 30 36 5| 77 95 6| 56 69 7| 45 58 8| 32 34 9| 29| 35 10 62| 76 Find the following: a) Compute the value of SST (Total Sum of Squares) answer: (b) Compute the value of SSR (Regression Sum of Squares) answer: (c) Compute the value of SSE (Error Sum of Squares) answer:

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A study was conducted to detemine whether a the final grade of a student in an introductory psychology course is linearly related to his or her
performance on the verbal ability test administered before college entrance. The verbal scores and final grades for 10 students are shown in the table below.
Student Verbal Score xFinal Grade y
1|
79|
93
2|
67
77
3|
78
91
4
30
77
36|
95
69
5|
6|
56
45
7|
58
8|
32
34
29
62
9|
35
10
76
Find the following:
a) Compute the value of SST (Total Sum of Squares)
answer:
(b) Compute the value of SSR (Regression Sum of Squares)
answer:
(c) Compute the value of SSE (Error Sum of Squares)
answer:
(d) The coefficient of determination is
answer:
(e) What percent of variation in the observed values
the response variable is explained by the regression?
answer:
Transcribed Image Text:A study was conducted to detemine whether a the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for 10 students are shown in the table below. Student Verbal Score xFinal Grade y 1| 79| 93 2| 67 77 3| 78 91 4 30 77 36| 95 69 5| 6| 56 45 7| 58 8| 32 34 29 62 9| 35 10 76 Find the following: a) Compute the value of SST (Total Sum of Squares) answer: (b) Compute the value of SSR (Regression Sum of Squares) answer: (c) Compute the value of SSE (Error Sum of Squares) answer: (d) The coefficient of determination is answer: (e) What percent of variation in the observed values the response variable is explained by the regression? answer:
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