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    Question

    In a study examining the relationship between hours of

    study (X) and test scores (Y) of students, a bivariate regression analysis was conducted. The following incomplete ANOVA table summarizes the results of the analysis:   Find the value of F-ratio.
    A 100 Correct Answer Incorrect Answer
    B 50 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    Values of A = Regression SS /DF Regression = 800 B=  Residual SS = Total SS- Regression SS =400 C=DF Total SS = DF Regression+ DF Residula =19 D= Residual SS /DF Residual = 22.22 F= MS regression/MS residual F = 800/22.22 = approx. 36

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