Linear Regression Calculator


Instructions: Perform a regression analysis, where the regression equation will be found and a detailed report of the calculations will be provided, along with a scatter plot. All you have to do is type your X and Y data. Optionally, you can add a title and add the name of the variables.

X data (comma or space separated)
Y data (comma or space separated)
Type the title (optional)
Name of X variable (optional)
Name of Y variable (optional)

More about this Linear Regression Calculator

A linear regression model corresponds to a linear regression model that minimizes the sum of squared errors for a set of pairs \((X_i, Y_i)\).

The linear regression equation, also known as least squares equation has the following form: \(\hat Y = a + b X\), where the regression coefficients \(a\) and \(b\) are computed as follows:

\[b = \frac{SS_{XY}}{SS_{XX}}\] \[a = \bar Y - \bar X \cdot b \]

The coefficient \(b\) is known as the slope coefficient, and the coefficient \(a\) is known as the y-intercept.

You may also be interested in computing the correlation coefficient, or to construct a scatter plot with the data provided.




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