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 10 students are shown in the table below. Student 1234567 89 10 Score 47 62 73 28 51 68 75 76 40 49 Grade 85 89 71 70 72 95 94 88 91 62 Find the following: (a) The correlation coefficient: r = (b) The least squares line: ŷ %3D (c) The predicted grade for the fourth student: (d) The residual for the fourth 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 10 students are shown in the table below.
Student 1 2345 6789 10
Score
47 62 73 28 51 68 75 76 40 49
Grade
85 89 71 70 72 95 94 88 91 62
Find the following:
(a) The correlation coefficient: r =
(b) The least squares line: ŷ =
%3D
(c) The predicted grade for the fourth student:
(d) The residual for the fourth student:
Transcribed Image Text: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 10 students are shown in the table below. Student 1 2345 6789 10 Score 47 62 73 28 51 68 75 76 40 49 Grade 85 89 71 70 72 95 94 88 91 62 Find the following: (a) The correlation coefficient: r = (b) The least squares line: ŷ = %3D (c) The predicted grade for the fourth student: (d) The residual for the fourth student:
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