Question

michael uses his apple watch to keep track of his distance and the number of calories he burns for 20 training runs. a scatterplot of y = calories burned and x = distance (in miles) shows a fairly strong, positive linear relationship. the regression equation ŷ = 20 + 160x is a good model for the data. a. interpret the slope of the regression line.

Explanation:

In a linear regression equation $\hat{y}=a + bx$, the slope $b$ represents the change in the predicted value of $y$ for a one - unit change in $x$. Here, $y$ is calories burned and $x$ is distance in miles. The slope of the regression line is 160. So for every one - mile increase in distance, the number of calories burned increases by 160.

Answer:

For every one - mile increase in the distance Michael runs, the number of calories he burns increases by 160.