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    The Solution to Statistics - Regression

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    In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald's employees. (a) Write the fitted regression equation.(b) State the degrees of freedom for a two- tailed test for zero slope, and use Appendix D to find the critical value at α = .05.(c) What is your conclusion about the slope? (d) Interpret the 95 percent confidence limits for the slope. (e) Verify that F = t2 for the slope. (f) In your own words, describe the fit of this regression.

    R2
    0.202

    Std. Error
    6.816

    n
    35

    ANOVA table

    Source
    SS
    df
    MS
    F
    p-value

    Regression
    387.6959
    1
    387.6959
    8.35
    .0068

    Residual
    1,533.0614
    33
    46.4564

    Total
    1,920.7573
    34

    Regression output
    confidence interval

    variables
    coefficients
    std. error
    t (df =33)
    p-value
    95% lower
    95% upper

    Intercept
    30.7963
    6.4078
    4.806
    .0000
    17.7595
    43.8331

    Slope
    0.0343
    0.0119
    2.889
    .0068
    0.0101
    0.0584

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    https://brainmass.com/statistics/regression-analysis/the-solution-to-statistics-regression-248878

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