# Statistics - Regression - Interpretation of results

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 twotailed 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.

See attached file for the regression.

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#### Solution Preview

The detailed step by step solution is given in the attached solution file. However brief steps are given below:

(a): Income Tax withheld = 30.7963 + 0.0343 *(weekly pay)

(b): The degree of freedom for a two ...

#### Solution Summary

In this problem, a Regression output generated by a statistical software is given, and it is asked to interprete the results.

In solution, it is explained how to interprete the computer generated Regression results, how to write the equation, how to find the degrees of freedom, how to write the results of the hypothesis test based on the regression output generated by a computer software, how to write the confidence interval and how to locate the coefficient of determination and how to interprete it.

It facilitates students to interprete the computer output of regression.