Biostatistics with R/Multiple Regression and Correlation

Summary of Formulars with R Formular Number Name Formular Formular with R 10.2.1 Representation of the multiple linear regression equation Example Example 10.2.2 Representation of the multiple linear regression equation with two independent variables Example Example 10.2.3 Random deviation of a point from a plane when there are two independent variables Example Example 10.3.1 Sum-of-squared residuals Example Example 10.4.1 Sum-of-squares equation Example Example 10.4.2 Coefficient of multiple determination Example Example 10.4.3 t statistic for testing hypotheses about b i Example Example 10.5.1 Estimation equation for multiple linear regression Example Example 10.5.2 Confidence interval for the mean of Y for a given X Example Example 10.5.3 Prediction interval for Y for a given X Example Example 10.6.1 Multiple correlation model Example Example 10.6.2 Multiple correlation coefficient Example Example 10.6.3 F statistic for testing the multiple correlation coefficient Example Example 10.6.4–10.6.6 Partial correlation between two variables (1 and 2) after controlling for a third (3) Example Example 10.6.7 t statistic for testing hypotheses about partial correlation coefficients Example Example Symbol Key