Question

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, Verbal Score x, Final Grade y

1 80 77

2 65 98

3 45 96

4 30 60

5 56 64

6 56 73

7 49 84

8 52 85

9 76 100

10 39 90

Find the following:

(a) The correlation coefficient: r=

(b) The least squares line: y^=

(c) Calculate the residual for the third student:

:

Answer 1

Round all the answers as per your requirement. Thank you.