Regression
Correlation and Regression Analysis, simple and multiple regression, regression, regression diagnostics, Assumptions of the regression model, model selection criteria, Linear Regression models, Relationship between Variables, Strength, and direction of the relationship
Inverse Regression Analysis or Calibration (2012)
In most regression problems we have to determine the value of $Y$ corresponding to a given value of $X$. The inverse of this problem is also called inverse regression analysis or calibration. Inverse Regression Analysis For inverse regression analysis, let the known values represented by …
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 …
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 …