Statistics > Correlation and Regression > Linear Two Variables

This utility performs computations that determine the correlation and regression between two variables. To use this utility, you must provide the paired x (independent/predictor) and y (dependent/response) values in separate columns. You must also provide the significance level for the hypothesis test for correlation.

For correlation, the following values are computed:

For regression equation Y = b0 + b1 x, the y-intercept b0 and the slope b1 are calculated as follows:

The null hypothesis H0 for a hypothesis test for linear correlation is that there is no linear correlation (ρ = 0), and the alternative hypothesis H1 is that there is a linear correlation (ρ ≠ 0).

For variation, the following values are computed ( is the mean of the y variable values, is the y value predicted by the regression equation):

Dialog Inputs