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Chapter 14: Q.14.44 (page 570)
Explain why the predictor variable is useless as a predictor of the response variable if the slope of the population regression line is .
For predicting , the regression equation with as the single predictor variable is useful.
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Corvette Prices. The Kelley Blue Book provides information on wholesale and retail prices of cars. Following are age and price data for randomly selected Corvettes between and years old.
Here, denotes age, in years, and denotes price, in hundreds of dollars.
Following are the data on plant weight and quantity of volatile emissions.
presuming that the assumption for regression inference are met, decide at the specified significance level whether the data provide sufficient evidence to conclude that the predictor variable is useful for providing the response variable.
Movie Grosses. The data from Exercise on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site.
Foot-pressure Angle. Genu valgum, commonly known as "knee-knock, is a condition in which the knees angle in and touch one another when standing. Genu varum, commonly known as "bow-legged," is a condition in which the knees angle out and the legs bow when standing. In the article "Frontal Plane Knee Angle Affects Dynamic Postural Control Strategy during Unilateral Stance" (Medicine and Science in Sports de Exercise, Vol. , No, , Pp. ), J. Nyland et al studied patients with and without these conditions, One aspect of the study was to see whether patients with genu valgum or genu varum had a different angle of foot pressure when standing. The following table provides summary statistics for the angle, in degrees, of the anterior-posterior center of foot pressure for patients that have genu valgum, genu varum, or neither condition.
At the significance level. do the data provide sufficient evidence to conclude that a difference exists in the mean angle of anterior-posterior center of foot pressure among people in the three condition groups? Note; For the degrees of freedom in this exercise:
Following are the data on age of fetuses and length of crown-rump.usepresuming that the assumption for regression inference are met, decide at the specified significance level whether the data provide sufficient evidence to conclude that the predictor variable is useful for providing the response variable.
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