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 would like to be able to develop a more accurate method of predicting the labor hours by using the number of cubic feet moved and whether there is an elevator in the apartment building. In a preliminary effort to provide a more accurate method, he 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 stored in the file moving.xls. a. State the multiple regression equation.

b. Interpret the meaning of the slopes in this problem.

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 the adequacy of the model.

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, and between labor hours and whether there is an elevator in the apartment building.

h. Interpret the meaning of the coefficient of multiple determination.

i. Compute the adjusted r².

j. Compute the coefficients of partial determination and interpret their meaning.

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

l. 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.

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

 

 

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Status NEW Posted 17 May 2017 01:05 PM My Price 12.00

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