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    Multiple regression

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    Thompson Machine Works purchased several new, highly sophisticated machines. The production department needed some guidance with respect to qualifications needed by an operator. Four variables were listed.

    X1 = Length of time employee was a machinist
    X2 = Mechanical aptitude test score
    X3 = Prior on -the-job rating
    X4 = Age
    Performance on the machine is designated Y

    The following are the results of the regression analysis;

    Variables Coefficient t-stat
    Intercept 11.600 2.95
    X1 0.400 1.23
    X2 0.286 3.71
    X3 0.112 4.10
    X4 0.002 1.86

    a. Write out the multiple regression equation.

    b. How many independent variables are there?

    c. Assuming the sample size was very large (the degrees of freedom is equal to 100), would you consider eliminating any of the independent variables?

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    Please see the attached Word document. In this solution, the computer ...

    Solution Summary

    In this solution, the computer output from a Multiple regression analysis is given. From the regression output, we find the regression equation, describe the variables, and decide if some of the variables should be eliminated from the equation.