The text presented discusses the use of a statistics software package to generate a scatter plot with a regression equation and a correlation coefficient. The details are as follows:---**Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as:**\[ y = -95.95x + 84.53 \]**and the \( r = -0.664 \).****What proportion of the variation in \( y \) can be explained by the variation in the values of \( x \)?**\[ r^2 = \]*Report answer as a percentage accurate to one decimal place.***Submit Question**---**Explanation:**1. **Regression Equation**: The equation is given as \( y = -95.95x + 84.53 \). This describes the relationship between the dependent variable \( y \) and the independent variable \( x \).2. **Correlation Coefficient**: The correlation coefficient \( r \) is given as \(-0.664\). This value indicates the strength and direction of a linear relationship between two variables.3. **Proportion of Variation (R-squared)**: To find the proportion of variation in \( y \) explained by \( x \), the square of the correlation coefficient should be calculated: \( r^2 \).4. **Interpretation**: The result of \( r^2 \) will represent the percentage of the variation in the dependent variable \( y \) that can be explained by the variation in the independent variable \( x \). The question requests the answer as a percentage accurate to one decimal place.

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Answered: Using your favorite statistics software…

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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