13.50 The owner of a moving company typically has his mostexperienced manager predict the total number of labor hours thatwill be required to complete an upcoming move. This approach hasproved useful in the past, but the owner has the businessob-jective of developing a more accurate method of predicting laborhours. In a preliminary effort to provide a more accurate method,the owner has decided to use the number of cubic feet moved and thenumber of pieces of large furniture as the independent vari-ablesand has collected data for 36 moves in which the origin anddestination were within the borough of Manhattan in New York Cityand the travel time was an insignificant portion of the hoursworked. The data are organized and stored in Moving .a. State themultiple regression equation.b. Interpret the meaning of the slopesin this equation.c. Predict the mean labor hours for moving 500cubic feet with two large pieces of furniture.d. Perform a residualanalysis on your results and determine whether the regressionassumptions are valid.e. Determine whether there is a significantrelationship between labor hours and the two independent variables(the number of cubic feet moved and the number of pieces of largefurniture) at the 0.05 level of significance.f. Determine thep-value in (e) and interpret its meaning.g. Interpret the meaningof the coefficient of multiple determina-tion in this problem.h.Determine the adjusted r2.i. At the 0.05 level of significance,determine whether each inde-pendent variable makes a significantcontribution to the regres-sion model. Indicate the mostappropriate regression model for this set of data.j. Determine thep-values in (i) and interpret their meaning.k. Construct a 95%confidence interval estimate of the population slope between laborhours and the number of cubic feet moved. How does theinterpretation of the slope here differ from that in Problem 12.44on page 443?l. What conclusions can you reach concerning laborhours?
