Answer to Question #106851 in Statistics and Probability for Saivionn

Question

the marginal change in ŷ is the slope of the line

ŷ = a + bx. Explain.

Answer 1

The slope of the least-squares line tell us how many units response variable is expected to change for each unit change in the explanatory variable. The number of units change in the response variable for each unit change in the explanatory variable is called the marginal change of the response variable.

$$\hat{y}=a+bx$$

The marginal slope $b$ tell us how many units $\hat{y}$ changes for each unit change in $x.$