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    Multiple Regression Analysis of Moving

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    Problem 14.43 page 600
    Problem 43 page 192

    Introduction

    The owner of a moving company would like to develop a model of predicting
    the labor hours that is required to complete a move by using the number
    of cubic feet moved and whether there is an elevator in the apartment building.
    He has collected data for 36 moves . The data are stored in the table

    Hours Feet Elevator
    24.00 545 Yes
    13.50 400 Yes
    26.25 562 No
    25.00 540 No
    9.00 220 Yes
    20.00 344 Yes
    22.00 569 Yes
    11.25 340 Yes
    50.00 900 Yes
    12.00 285 Yes
    38.75 865 Yes
    40.00 831 Yes
    19.50 344 Yes
    18.00 360 Yes
    28.00 750 Yes
    27.00 650 Yes
    21.00 415 No
    15.00 275 Yes
    25.00 557 Yes
    45.00 1028 Yes
    29.00 793 Yes
    21.00 523 Yes
    22.00 564 Yes
    16.50 312 Yes
    37.00 757 No
    32.00 600 No
    34.00 796 Yes
    25.00 577 Yes
    31.00 500 Yes
    24.00 695 Yes
    40.00 1054 Yes
    27.00 486 Yes
    18.00 442 Yes
    62.50 1249 No
    53.75 995 Yes
    79.50 1397 No

    a. State the multiple regression equation.

    b. Interpret the meaning of the slopes b1 and b2, in this problem.

    c. Interpret the meaning of the regression coefficient b0.

    d. Predict the mean labor hours for moving 500 cubic feet in the apartment building that has an elevator

    e. Compute the coefficient of multiple determination, r^2 and interpret its meaning.

    f. Compute the adjusted r^2.

    g. Construct a 95% confidence interval estimate of the population slopes.

    h. At the 0.05 level of significance, determine whether each independent variable
    makes a significant contribution to the regression model.
    Perform t-test for the slopes of the regression equation.

    i. Add an interaction term to the model and at the 0.05 level of significance,
    determine whether it makes significant contribution to the model.

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    https://brainmass.com/statistics/correlation-and-regression-analysis/multiple-regression-analysis-moving-593092

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    Solution Summary

    The solution provides step by step method for the calculation of multiple regression analysis. Formula for the calculation and Interpretations of the results are also included.

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