Chapter 14.3, Problem 40E

The article first introduced in Exercise 14.28 of Section 14.2 in the textbook gave data on the dimensions of 27 representative food products. Use the multiple regression model fit in Exercise 14.28.

1. a. Could any of the variables be eliminated from the estimated regression equation for predicting volume?
2. b. Predict the volume of a package with a minimum width of 2.5 cm, a maximum width of 3.0 cm, and an elongation of 1.55.
3. c. Calculate a 95% prediction interval for the volume of a package with a minimum width of 2.5 cm, a maximum width of 3.0 cm, and an elongation of 1.55.

14.28 This exercise requires the use of a statistical software package. The article “Vital Dimensions in Volume Perception: Can the Eye Fool the Stomach?” (Journal of Marketing Research [1999]: 313-326) gave the data, shown in the table below, on dimensions of 27 representative food products.

1. a. Fit a multiple regression model for predicting the volume (in ml) of a package based on its minimum width, maximum width, and elongation score.
2. b. Why should we consider adjusted R^: instead of R^: when evaluating this model?
3. c. Carry out a model utility F test.

Table for exercise 14.28