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    Regression Statistics: Entrance Scores and GPA

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    Given the Excel output below of x = entrance scores achieved by students and y = GPA
    SUMMARY OUTPUT
    Regression Statistics
    Multiple R 0.883582
    R Square 0.780718
    Adjusted R Square 0.76385
    Standard Error 0.194761
    Observations 15

    ANOVA
    df SS MS F Significance F
    Regression 1 1.755647 1.755647 46.28433 1.26E-05
    Residual 13 0.493113 0.037932
    Total 14 2.24876

    Coefficients Standard Error t Stat P-value Lower 95%
    Intercept 0.721777 0.351133 2.055565 0.060486 -0.0368
    X Variable 0.105546 0.015514 6.803259 1.26E-05 0.07203

    Upper 95% Lower 95.000% Upper 95.000%
    Intercept 1.480353 -0.0368 1.480353015
    X Variable 0.139062 0.07203 0.139061614

    Is this model appropriate for regression analysis or more information is needed before you can decide?
    a) Yes
    b) No
    c) More information needed

    The slope of the equation line is:
    a) .7218
    b) .1391
    c) .1055

    Doing a hypothesis test on whether the slope is = 0, we get:
    a) Yes, slope = 0
    b) No, slope is not = 0
    c) Not enough information to tell one way or the other.

    The prediction of student's GPA given the student's entrance score was 27 gives:
    a) Not enough information to do this prediction.
    b) The student's GPA is predicted to be 3.24
    c) The student's GPA is predicted to be 3.57

    If this student has achieved one mark higher on the entrance exam, what would your prediction be for his/her GPA?

    a) Not enough information to do this prediction.
    b) The student's GPA would increase to 3.68.
    c) The student's GPA would not increase.

    © BrainMass Inc. brainmass.com June 4, 2020, 3:22 am ad1c9bdddf
    https://brainmass.com/statistics/regression-analysis/regression-statistics-entrance-scores-gpa-511844

    Solution Preview

    Is this model appropriate for regression analysis or more information is needed before you can decide?
    a) Yes

    The slope of the ...

    Solution Summary

    The following posting helps with problems involving regression statistics.

    $2.19

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