### Understanding Explained Variation in Regression**Task:** Describe the explained variation about a regression line in words and in symbols.**Graph Explanation:**The graph depicts a scatter plot with a regression line. It includes several key elements:- The horizontal axis is labeled $x$ and the vertical axis is labeled $y$.- Data points are shown as black dots.- The regression line is represented by a straight line that best fits the data points.- Points of interest are labeled $(x_i, y_i)$, $(x_i, \hat{y}_i)$, and $(x_i, \bar{y})$.- A horizontal line at $y = \bar{y}$ represents the mean of the $y$-values.- A vertical dashed pink line illustrates the distance between the actual data point $(x_i, y_i)$ and the mean line $\bar{y}$.**Question:** Choose the correct answer below.- **A.** The explained variation is the sum of the squares of the differences between the predicted $y$-values and the mean of the $y$-values of the ordered pairs.- **B.** The explained variation is the sum of the squares of the differences between the $y$-values of each ordered pair and the mean of the $y$-values of the ordered pairs.- **C.** The explained variation is the sum of the squares of the differences between the observed $y$-values and the predicted $y$-values.

The sum of squares of the explained deviation values is termed as a explained variation.

Answered: Describe the explained variation about…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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