A study was conducted to determine whether 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 all 1010 students in the class are shown in the table below. Find the following: (a) The correlation coefficient: ?= (b) The least squares line. NOTE:[for negitive ?1β1, for example ?1β1 = -2.4 write in form ?0+(−2.4)?β0+(−2.4)x ]: ?̂ = Calculate the residual for the sixth student

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A study was conducted to determine whether 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 all 1010 students in the class are shown in the table below.

Find the following:

(a) The correlation coefficient: ?=

(b) The least squares line. NOTE:[for negitive ?1β1, for example ?1β1 = -2.4 write in form ?0+(−2.4)?β0+(−2.4)x ]:
?̂ =

Calculate the residual for the sixth student

Student Verbal Score x Final Grade y
1
72
2
66
60
75
61
85
73
84
68
61
345
6
7
8
9
10
71
77
64
25
62
35
31
72
67
29
Transcribed Image Text:Student Verbal Score x Final Grade y 1 72 2 66 60 75 61 85 73 84 68 61 345 6 7 8 9 10 71 77 64 25 62 35 31 72 67 29
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