Question

Give the equation of the least-squares regression line. Define any variables you use.

Short answer

The equation of the least-squares regression line is $\hat{y}=-1.19311+0.0287280x$.

Step-by-step solution

Given Information

Explanation

In the question that variable $x$be the number of the years since $1700$and the variable y be the U.S. population in the years $1790$to $1880$. Thus, the general equation will be as:

$\hat{y}=a+bx$

And the slope and the constant of the regression line is give in the previous question as:

$a=-1.19311$

$b=0.0287280$

Thus, the regression line is as:

$\hat{y}=a+bx$

$\Rightarrow \hat{y}=-1.19311+0.0287280x$