In: Statistics and Probability
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:
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:-
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