In looking at a regression line what is slope and what is Y

In looking at a regression line, what is \"slope\" and what is \"Y intercept\"? That is, explain what these values represent from a statistical perspective.

Solution

Let regression line is

y=a+bx

Slope of regression line:

In the above regression line slope is b. It means as we move along the regression line, for each unit increase in X, the Y variable increases by b.

Intercept of regression line:

It is value Y of the regression, when it crosses the Y-axis, that is at x=0. Some it has meaning some time not depending upon situation. Here intercept is a.