Question

in a regression, the total sum of squares in the response variable, y, is 2130. the sum of squares due to error is 230. what is the sum of squares due to the regression?

Answer 1

The sum of squares due to the regression is calculated by subtracting the sum of squares due to error from the total sum of squares. In this case, it's 1900 (2130 total sum of squares - 230 sum of squares due to error).

Step-by-step explanation:

The student asked about the sum of squares due to the regression in a regression analysis where the total sum of squares (SST) is 2130 and the sum of squares due to error (SSE) is 230.

To find the sum of squares due to the regression (SSR), we use the relationship SST = SSE + SSR.

Subtracting the sum of squares due to error from the total sum of squares gives us SSR.

So SSR = SST - SSE.
SSR = 2130 - 230
SSR = 1900.

The sum of squares due to the regression is 1900.