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 all 10 students in the class are shown in the table below.

Student Verbal Score ?x Final Grade ?y
11 3636 9090
22 7474 8484
33 4848 8686
44 7474 6868
55 8080 7676
66 2828 9191
77 7272 9797
88 6767 9494
99 3131 7777
1010 2727 9797

Find the following:

(a) The correlation coefficient: r=

(b) The least squares line: ?̂ =

(c) Calculate the residual for the fifth student:

Solutions

Expert Solution

Run Regression analysis in excel

- Bring data in to excel sheet

(a) The correlation coefficient: r= -0.34 (negative and weak correlation between the variables)

(b) The least squares line: ?̂ = -0.153x + 94.190 (highlighted in the summary output)

(c) Calculate the residual for the fifth student: -5.989 is the residual for the fifthe student ( highlighted in the summary output)


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