Residual Calculator

Calculate Residual



Formula

To calculate the Residual (R):

\[ R = O - E \]

Where:

What is a Residual?

A residual is a measure used in statistical analyses, particularly in regression analysis, to determine the difference between observed and predicted values of a dependent variable. The residual for each data point is the vertical distance between the point and the regression line; it is positive if the point is above the line and negative if below. Residuals are crucial for diagnosing the fit of a regression model and for identifying outliers or non-linear patterns.

Example Calculation

Let's assume the following values:

Using the formula:

\[ R = 15 - 10 = 5 \]

The Residual is 5.