Donaldson R F Correlation & Linear Regression Calculator
Work out the Pearson correlation coefficient and a best-fit straight line from a list of x,y data pairs.
How it is worked out
The Pearson correlation coefficient r measures how closely two variables move together in a straight-line way, from −1 (perfect negative) to +1 (perfect positive); 0 means no linear relationship. The regression line y = a + bx is the straight line that minimises the sum of squared vertical distances to the points (the "least squares" method); its slope is b and intercept is a. R² (equal to r² for a simple linear regression) is the proportion of the variation in y that the line explains.
Source: standard statistical definitions (Pearson product-moment correlation coefficient; ordinary least squares regression), as taught in any introductory statistics course.
Want mean, median, mode or standard deviation instead? Try the Mean, Median, Mode Calculator or the Standard Deviation Calculator.