Biostatistics with R/Multiple Regression and Correlation

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Summary of Formulars with R[edit]

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