# Linear Regression Calculator

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).

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). 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.

To begin, you need to add paired data into the two text boxes immediately below (either one value per line or as a comma delimited list), with your independent variable in the X Values box and your dependent variable in the Y Values box. For example, if you wanted to generate a line of best fit for the association between height and shoe size, allowing you to predict shoe size on the basis of a person's height, then height would be your independent variable and shoe size your dependent variable).

X Values
Y Values

This calculator can estimate the value of a dependent variable (Y) for any specified value of an independent variable (X). Simply add the X values for which you wish to generate an estimate into the Estimate box below (either one value per line or as a comma delimited list).

Note: If you just want to generate the regression equation that describes the line of best fit, leave the box below blank.

Estimate