Interpret the y-intercept in the context of the problem. is this value statistically meaningful?

Why is it difficult to interpret the constant term? Because the y-intercept is almost always meaningless! Surprisingly, while the constant doesn't usually have a meaning, it is almost always vital to include it in your regression models!

The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0.

So, suppose you have a model such as. Income ~ Sex. Then if sex is coded as 0 for men and 1 for women, the intercept is the predicted value of income for men; if it is significant, it means that income for men is significantly different from 0.

The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.