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 1010 students are shown in the table below. Student Verbal Score x� Final Grade y� 11 7373 8686 22 3737 9494 33 7171 8686 44 4242 8383 55 4343 9090 66 7676 8383 77 7575 9191 88 5252 9393 99 3737 7070 1010 5353 9999 Find the following: (a) The correlation coefficient: r=�=  (b) The least squares line: ŷ =�^=  (c) Calculate the residual for the fourth student:

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 1010 students are shown in the table below.

Student Verbal Score x� Final Grade y�
11 7373 8686
22 3737 9494
33 7171 8686
44 4242 8383
55 4343 9090
66 7676 8383
77 7575 9191
88 5252 9393
99 3737 7070
1010 5353 9999


Find the following:

(a) The correlation coefficient: r=�= 

(b) The least squares line: ŷ =�^= 

(c) Calculate the residual for the fourth student: 

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