# Question: The owner of a moving company typically has his most

The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved and whether there is an elevator in the apartment building as the independent variables and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and the travel time was an insignificant portion of the hours worked. The data are organized and stored in Moving . For (a) through (j), do not include an interaction term.

a. State the multiple regression equation for predicting labor hours, using the number of cubic feet moved and whether there is an elevator.

b. Interpret the regression coefficients in (a).

c. Predict the mean labor hours for moving 500 cubic feet in an apartment building that has an elevator and construct a 95% confidence interval estimate and a 95% prediction interval.

d. Perform a residual analysis on the results and determine whether the regression assumptions are valid.

e. Is there a significant relationship between labor hours and the two independent variables (cubic feet moved and whether there is an elevator in the apartment building) at the 0.05 level of significance?

f. At the 0.05 level of significance, determine whether each independent variable makes a contribution to the regression model. Indicate the most appropriate regression model for this set of data.

g. Construct a 95% confidence interval estimate of the population slope for the relationship between labor hours and cubic feet moved.

h. Construct a 95% confidence interval estimate for the relationship between labor hours and the presence of an elevator.

i. Compute and interpret the adjusted r2.

j. What assumption do you need to make about the slope of labor hours with cubic feet moved?

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

l. On the basis of the results of (f) and (k), which model is most appropriate? Explain.

m. What conclusions can you reach concerning the effect of the number of cubic feet moved and whether there is an elevator on labor hours?

a. State the multiple regression equation for predicting labor hours, using the number of cubic feet moved and whether there is an elevator.

b. Interpret the regression coefficients in (a).

c. Predict the mean labor hours for moving 500 cubic feet in an apartment building that has an elevator and construct a 95% confidence interval estimate and a 95% prediction interval.

d. Perform a residual analysis on the results and determine whether the regression assumptions are valid.

e. Is there a significant relationship between labor hours and the two independent variables (cubic feet moved and whether there is an elevator in the apartment building) at the 0.05 level of significance?

f. At the 0.05 level of significance, determine whether each independent variable makes a contribution to the regression model. Indicate the most appropriate regression model for this set of data.

g. Construct a 95% confidence interval estimate of the population slope for the relationship between labor hours and cubic feet moved.

h. Construct a 95% confidence interval estimate for the relationship between labor hours and the presence of an elevator.

i. Compute and interpret the adjusted r2.

j. What assumption do you need to make about the slope of labor hours with cubic feet moved?

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

l. On the basis of the results of (f) and (k), which model is most appropriate? Explain.

m. What conclusions can you reach concerning the effect of the number of cubic feet moved and whether there is an elevator on labor hours?

## Relevant Questions

In Problem 13.4 on page 469, you used efficiency ratio and total risk based capital stored in CommunityBanks to predict ROA at a community bank. Develop a regression model to predict ROA that includes efficiency ratio, total ...In Problem 13.7 on page 470, you used the total staff present and remote hours to predict standby hours stored in Standby. Develop a regression model to predict standby hours that includes total staff present, remote hours, ...Measuring the height of a California redwood tree is very difficult because these trees grow to heights over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to ...An experiment was conducted to study the extrusion process of biodegradable packaging foam. Among the factors considered for their effect on the unit density (mg/ ml) were the die temperature (145° C versus 155° C) and the ...Open EndRunGuide. pdf, the EndRun Financial Services “ Guide to Investing.” Reexamine EndRun’s supporting data for the “More Winners Than Losers” and “The Big Eight Difference” and then answer the following: 1. ...Post your question