## Coefficient of Determination: Model Selection (2012)

$R^2$ pronounced R-squared (Coefficient of determination) is a useful statistic to check the regression fit value. $R^2$ measures the proportion of total variation about the mean $\bar{Y}$ explained by the regression. R is the correlation between $Y$ and $\hat{Y}$ and is usually the multiple correlation coefficient. The coefficient of determination …

## Interpreting Regression Coefficients

Interpreting Regression Coefficients in Multiple Regression In multiple regression models, for the interpreting regression coefficients, case, the unstandardized multiple regression coefficient is interpreted as the predicted change in $Y$ (i.e., the dependent variable abbreviated as DV) given a one-unit change in $X$ (i.e., the independent variable abbreviated as IV) while …

## Interpreting Regression Coefficients in Simple Regression

How are the regression coefficients interpreted in simple regression? The simple regression model is The formula for Regression Coefficients in Simple Regression Models is: $$b = \frac{n\Sigma XY – \Sigma X \Sigma Y}{n \Sigma X^2 – (\Sigma X)^2}$$ $$a = \bar{Y} – b \bar{X}$$ The basic or unstandardized regression coefficient …