Question

Suppose a​ least-squares regression line is given by modifyingabove y with caret equals 4.302 x minus 3.293y=4.302x−3.293. what is the mean value of the response variable if xequals=2020​?

Answer 1

The regression equation gives the mean value of the response variable, y, at a specified value of the independent variable, x. So, in order to find the mean value of the response variable, we'll plug the x-value in the equation of the regression line and evaluate it.

In this case, plugging 2020 in for x gives us
y = 4.302(2020) – 3.293 = 8686.75