Question

What does the regression equation y = .514x + 3.880 tell us? How would interpret the coefficient of determination: .264?

Answer 1

see below.

Explanation:

First, as we can see, these regression equations is linear form. `0.514` is coeficient for variable `x` while `3.880` is constant coefficient. Value of `y` increase with the rate of `0.514` when value of `x` increase too. The y-intercept is `0.3880`

Coefficient of determination, known as `R^2` is proportion of variance for dependent variable, `y` explained by independent variable, `x` in this case.

Since the R squared are `0.264`, then `26.4%` of points fall within the regression line. We can say the model poor fit to data.