Definition
Linear Equation
In a linear equation, the intercept is the point at which the line crosses the y-axis, otherwise known as the y-intercept
In the below linear equation, b below is the intercept: <MATH> y= mx + b </MATH>
Regression Analysis
In a regression analysis, the intercept or the regression coefficient <math>B_0</math> is the predicted score on Y when all predictors (X, Z) are zero.
The regression constants didn't make any sense in a lot of example because it doesn't make any sense to get zero for all others predictors (others variables not regression coefficients). It gives a meaningless regression constant <math>B_0</math> .
In contrast, if X=0 and Z=0 becomes the average then the regression coefficient <math>B_0</math> is going to be the predicted score on Y for an average score on all others predictors. That's a meaningful value.