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

Mar 18, 2018

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.