Question

In: Statistics and Probability

A study was conducted to determine whether the final grade of a student in an introductory...

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 xx Final Grade yy
1 43 87
2 60 67
3 29 77
4 73 100
5 52 88
6 26 89
7 47 73
8 44 71
9 66 63
10 70 90


Find the following:

(a) The correlation coefficient: r=

(b) The least squares line: y^=

(c) Calculate the residual for the first student:

Solutions

Expert Solution

The statistical software output for this problem is :

(a) The correlation coefficient: r = 0.0809

(b) The least squares line: y^= 77.4699 + 0.0594 x

(c) Calculate the residual for the first student: 87 - 80.025 = 7.025

orchestra answered 2 years ago
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