# How do you interpret the intercept of a linear regression?

Oct 30, 2015

The value of Y when X = 0

#### Explanation:

The intercept of a linear regression is the value of the response variable Y when the explanatory variable X equal 0.

Graphically, it is the point where the regression line cross the ordinate axis. For example, the equation of the line below is :

$Y = 0.5 X + 2$

You can see on the graph that Y =2 (the value of the intercept) when X = 0.

graph{0.5*x+2 [-3.464, 8.846, -0.804, 5.356]}