Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 13.3, Problem 34E
The article “Vital Dimensions in Volume Perception: Can the Eye Fool the Stomach?” (Journal of Marketing Research [1999]: 313–326) gave the accompanying data on the dimensions of 27 representative food products (Gerber baby food, Cheez Whiz, Skippy Peanut Butter, and Ahmed’s tandoori paste, to name a few).
- a. Fit the simple linear regression model that would allow prediction of the maximum width of a food container based on its minimum width.
- b. Calculate the standardized residuals (or just the residuals if a computer program that doesn’t give standardized residuals is used) and make a residual plot to determine whether there are any outliers.
- c. The data point with the largest residual is for a 1-liter Coke bottle. Delete this data point and determine the equation of the regression line. Did deletion of this point result in a large change in the equation of the estimated regression line?
- d. For the regression line of Part (c), interpret the estimated slope and, if appropriate, the intercept.
- e. For the data set with the Coke bottle deleted, are the assumptions of the simple linear regression model reasonable? Give statistical evidence.
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Chapter 13 Solutions
Introduction To Statistics And Data Analysis
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