Q. 4.85 - Elementary Statistics

Question

4.85 A measure of the amount of variation in the observed values of the response variable explained by the regression is the-----. The mathematical abbreviation for it is----.

Step-by-Step Solution

Answer

A measure of the amount of variation in the observed values of the response variable explained by the regression is the Regression Sum of a square.

The mathematical abbreviation for it is SSR

Step 1: Given Information

To determine the blank in the given statement.

Step 2: Explanation

The regression sum of the square is a metric for calculating the amount of squared variance in the observed values of the response variable explained by the regression. The regression sum of squares formula is as follows:

$SSR=\sum {\left(\widehat{y_i}-\overline{y}\right)}^2$

As a result, the regression sum of the square is a measure of the amount of variance in the observed values of the response variable explained by the regression. SSR is the mathematical abbreviation for it.