12.6 The owner of an intracity 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 he would like to be able to develop a more accurate method of predicting labor hours by using the amount of cubic feet moved. 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. See Excel spreadsheet.

1. Construct a scatter diagram.
2. Assuming a linear relationship, use the least-squares method to find the regression coefficients bo and b1.
3. Interpret the meaning of the slope b1 in this problem.
4. Predict the mean labor hours for moving 500 cubic feet.

In problem 12.6, the owner of a moving company wanted to predict labor hours based on the cubic feet moved. Perform a residual analysis for these data. Based on the results,

1. Determine the adequacy of the fit of the model.
2. Evaluate whether the assumptions of regression have been seriously violated.

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