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 all 1010 students in the class are shown in the table below.

Student	Verbal Score xx	Final Grade yy
11	3131	9595
22	5959	8585
33	2828	8181
44	4646	7979
55	5151	6464
66	3232	8181
77	4141	6464
88	5858	6969
99	3030	6161
1010	3232	8585

Find the following:

(a) The correlation coefficient: r=r=

(b) The least squares line: y^=y^=

(c) Calculate the residual for the fifth student:

Answer 1

i am using minitab to solve the problem.

steps for getting correlation coefficient:-

copy the data in minitab stat basic statistics correlations in variables select verbal score(x),final grade(y) in method select pearson correlation tick p values ok.

steps for getting regression equation:-

stat regression regression fit regression model in responses select final grade(y) ,in continuous predictors verbal score(x) select okok.

*** SOLUTION TO THE PROBLEM***

a). correlation coefficient (r) = -0.228

b).the regression equation be:-

c). the predicted final score for fifth student is :-

the residual for the fifth student be:-

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.