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Home > CC4 > Chapter 5 > Lesson 5.1.2 > Problem 5-24

5-24.

Consumer Reports magazine collected data for the fuel efficiency of cars (miles per gallon) compared to weight (thousands of pounds). The regression model below was created. Homework Help ✎

y = 49 – 8.4x

r = –0.903

  1. Calculate and interpret R-squared in context.

  2. Interpret the slope in context.

First calculate R2 (r2). Note that R2 % is the amount of variability that can be explained by a linear relationship.

_____ percent of the variability in __________ can be explained by a linear relationship with _______.

81.5
fuel efficiency
weight

Think about the units for the slope in this situation.