Biostatistics with R/Simple Linear Regression and Correlation

Summary of Formulars with R

Formular Number	Name	Formular	Formular with R
9.2.1	Assumption of linearity	Example	Example
9.2.2	Simple linear regression model	Example	Example
9.2.3	Error (residual) term	Example	Example
9.3.1	Algebraic representation of a straight line	Example	Example
9.3.2	Least square estimate of the slope of a regression line	Example	Example
9.3.3	Least square estimate of the intercept of a regression line	Example	Example
9.4.1	Deviation equation	Example	Example
9.4.2	Sum-of-squares equation	Example	Example
9.4.3	Estimated population coefficient of determination	Example	Example
9.4.4–9.4.7	Means and variances of point estimators a and b	Example	Example
9.4.8	z statistic for testing hypotheses about b	Example	Example
9.4.9	t statistic for testing hypotheses about b	Example	Example
9.5.1	Prediction interval for Y for a given X	Example	Example
9.5.2	Confidence interval for the mean of Y for a given X	Example	Example
9.7.1–9.7.2	Correlation coefficient	Example	Example
9.7.3	t statistic for correlation coefficient	Example	Example
9.7.4	z statistic for correlation coefficient	Example	Example
9.7.5	Estimated standard deviation for z statistic	Example	Example
9.7.6	Z statistic for correlation coefficient	Example	Example
9.7.7	Z statistic for correlation coefficient when n < 25	Example	Example
9.7.8	Standard deviation for z Ã	Example	Example
9.7.9	Z Ã statistic for correlation coefficient	Example	Example
9.7.10	Confidence interval for r	Example	Example
Symbol Key