Question

Q. The linear regression equation for the data is y = 1.5x + 12. Interpret the y-intercept of the equation.

Answer 1

Solution:
Linear regression equation for this data is
Y = 1.5*X + 12
Here Y is dependent variable
X is independent variable
Intercept of regression line = 12
Slope of regression line = 1.5
The intercept of regression line which is labeled as constant is the expected mean value of Y or depedent variable when all X =0,
Intercept of regression line tells us if X=0, than Expected value of Y is equal to Y = 1.5*0 + 12 = 12 or value of intercept.
Or If X is never equal to zero that means intercept has no intrinsic meaning.