Suppose we fit the simple linear regression model and get th

Suppose we fit the simple linear regression model

and get the estimated regression function

. What population characteristic of Y does estimate?

the mean of Y for a given value of x

the proportion of the population above the mean for a given value of x

the geometric mean of Y for a given value of x

the total variability in Y a given value of x

the standard deviation of Y for a given value of x

Solution

Y-hat estimates :

the mean of Y for a given value of x