This calculator will determine the values of b and a for a set of data comprising two variables, and estimate the value of Y for any specified value of X. The line of best fit is described by the equation ŷ = bX + a, where b is the slope of the line and a is the intercept (i.e., the value of Y when X = 0). There is no meaningful interpretation for the correlation coefficient as there is for the r 2 value.This simple linear regression calculator uses the least squares method to find the line of best fit for a set of paired data, allowing you to estimate the value of a dependent variable ( Y) from a given independent variable ( X). Know what various correlation coefficient values mean.Know how to calculate the correlation coefficient r from the r 2 value.Understand the cautions necessary in using the r 2 value as a way of assessing the strength of the linear association.That is, they can be 0 even if there is perfect nonlinear association. Know that the coefficient of determination ( r 2) and the correlation coefficient ( r) are measures of linear association. Know how to obtain the estimate MSE of the unknown population variance σ 2 using statistical software.
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