# What do the coefficients of a linear regression line tell you?

Nov 6, 2015

$\hat{y} = {b}_{0} x + {b}_{1}$

#### Explanation:

A simple least square regression line with an independent and dependent variable will have just two coefficients (${b}_{0} \mathmr{and} {b}_{1}$)

${b}_{0}$ represents the slope of the regression line. For every 1 unit change in the independent variable (x), the dependent variable ($\hat{y}$) will change by ${b}_{0}$ units.

${b}_{1}$ represents the y-intercept and may or may not represent valid information. May times, the y-intercept ( when x = 0 ) is simply meaningless.

hope that helps