This is “Formula List”, section 10.9 from the book Introductory Statistics (v. 1.0) by Douglas S. Shafer and Zhiyi Zhang. For details on it (including licensing), click here.
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Correlation coefficient:
Least squares regression equation (equation of the least squares regression line):
Sum of the squared errors for the least squares regression line:
Sample standard deviation of errors:
confidence interval for :
Standardized test statistic for hypothesis tests concerning :
Coefficient of determination:
confidence interval for the mean value of y at :
prediction interval for an individual new value of y at :