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    danambjones Posts: 6, Reputation: 1
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    Jun 30, 2007, 07:35 AM
    Statistics - regression equation
    7) The following regression equation was obtained using the five independent variables.

    The regression equation is
    sales = - 19.7 - 0.00063 outlets + 1.74 cars + 0.410 income + 2.04 age - 0.034 bosses

    Predictor Coef SE Coef T P
    Constant -19.672 5.422 -3.63 0.022
    outlets -0.000629 0.002638 -0.24 0.823
    cars 1.7399 0.5530 3.15 0.035
    income 0.40994 0.04385 9.35 0.001
    age 2.0357 0.8779 2.32 0.081
    bosses -0.0344 0.1880 -0.18 0.864

    S = 1.507 R-Sq = 99.4% R-Sq(adj) = 98.7%

    Analysis of Variance

    Source DF SS MS F P
    Regression 5 1593.81 318.76 140.36 0.000
    Residual Error 4 9.08 2.27
    Total 9 1602.89
    (Minitab Software)

    a) What percent of the variation is explained by the regression equation?

    b) What is the standard error of regression?

    c) What is the critical value of the F-statistic?

    d) What sample size is used in the print out?
    e) What is the variance of the slope coefficient of income?

    f) Conduct a global test of hypothesis to determine if any of the regression coefficients are not zero.


    g) Conduct a test of hypothesis on each of the independent variables. Would you consider eliminating outlets and bosses?

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