How to Calculate Residual Sum of Squares

Definition:

Residual sum of squares (RSS) is also known as the sum of squared residuals (SSR) or sum of squared errors (SSE) of prediction. It is an amount of the difference between data and an estimation model.

Formula:

Where,

X,Y - set of values, α , β - constant values, n - Set value counts

Example:

Consider two population groups, where X = 1,2,3,4 and Y=4,5,6,7 , constant value α = 1, β = 2. Find the Residual Sum Of Square(RSS) values for the two population groups.

Given,

X = 1,2,3,4 Y = 4,5,6,7 α = 1 β = 2

Solution:

Substitute the given values in the formula,