Question

1. What can you say about the difference in R² where R² in a simple linear regression is 56% and in multiple regression R² is 80%

Answer 1

Ans.- In a simple linear regression, we have just 1 independent variable. Here value of R^2 of 56% will mean that this one independent variable explains 56% of the variations in our dependent variable.

In a multiple regression model, we have more than 1 independent variable.Here value of R^2 of 80% will mean that these  independent variables explain 80% of the variations in our dependent variable.

But we have to note that R^2 always increases with an addition of independent variables in our model. So, a better way to check for the accuracy will be adjusted R^2.