How do I interpret polynomial regression coefficients?

How do I interpret polynomial regression coefficients?

In polynomial regression, coefficients represent the relationship between the independent variable and the dependent variable at different powers. The coefficient of each term indicates how much the dependent variable changes with a one-unit change in that term.

What does a negative coefficient mean?

A negative coefficient indicates an inverse relationship. As the independent variable increases, the dependent variable decreases.

Can you give an example of interpreting a coefficient?

Sure! If you have a coefficient of 2 for the x^2 term, it means that for every one-unit increase in x^2, the dependent variable increases by 2 units, assuming other variables are held constant.

What if I have multiple coefficients?

Each coefficient should be interpreted in the context of its corresponding term. The overall effect on the dependent variable is a combination of all coefficients, considering their respective powers.