### Home > GB8I > Chapter 5 Unit 6 > Lesson INT1: 5.1.2 > Problem5-24

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.

First calculate $R^2$ ($r^2$). Note that $R^2$% 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

2. Interpret the slope in context.

Think about the units for the slope in this situation.