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If you create a regression model for predicting the weight of a car (in pounds)

ID: 2929830 • Letter: I

Question

If you create a regression model for predicting the weight of a car (in pounds) from its length (in feet), is the slope most likely to be 3, 30, 300, or 3000? Explain. Choose the correct answer below O A. O B. ° C. O D. The only slope that makes sense is 30 pounds per foot. 3 pounds per foot is too small and 300 pounds per foot is too large. The only slope that makes sense is 3 pounds per foot. 30 pounds per foot is too large. The only slope that makes sense is 300 pounds per foot. 30 pounds per foot is too small and 3000 pounds per foot is too large The only slope that makes sense is 3000 pounds per foot. 300 pounds per foot is too small.

Explanation / Answer

Solution:

option C

C. The only slope that makes sense is 300 pounds per feet. 30 pounds per foot is too small and 3000 pounds per foot is too large.

Explanation: •: Assume that an “average” car has a length of 10 feet and weight of around 3000 pounds (check online to verify these figures). Only a slope of 300 pounds/foot produces values around 3000 lbs. Others are too large or too small. Note, you can use this method of “averaging”, because the linear model has to pass through the mean x and y values, (xavg, yavg).