Question

Based on a sample of data points, what is the best estimate of the population regression line?

Short answer

The best estimate of the population regression line is written as,$\hat{y}={\beta }_0+{\beta }_{1}x$.

Step-by-step solution

Given information

The best estimate of the population regression line.

Explanation

The variables under investigation meet the regression inference assumptions.

Line of population regression: There are constants ${\beta }_0$and ${\beta }_1$such that the conditional mean of the response variables is ${\beta }_0+{\beta }_{1}x$for each value of $x$for the predictor variable.

The sample regression line is the best estimate of the population regression line and is written as,

$\hat{y}={\beta }_0+{\beta }_{1}x.$