The article first introduced in Exercise 14.28 of Section 14.2 in the textbook gave d...

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.

a. Could any of these variables be eliminated from a regression with the purpose of predicting volume?

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.

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.

REF PRB:

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

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.

b. Why should we consider adjusted R² instead of R² when attempting to determine the quality of fit of the data to our model?

c. Perform a model utility test.