Q. 65 65. Explain what it means when a... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 12: Q. 65 (page 721)

65. Explain what it means when a correlation has an $r^{2}$ of $0.72$ .

Short Answer

Expert verified

A correlation has an $r^{2}$ of $0.72$ , it means that the $72 %$ of the dependent variable can be justified by the independent variable utilizing the regression line.

Step by step solution

Given information

A correlation has an $r^{2}$ of $0.72$ . Correlation is a statistical estimation that represents how two variables are linearly connected.

Explanation

The ratio of explained variation to total variation in the model is known as the coefficient of determination. The coefficient of determination, abbreviated as $r^{2}$ , is a metric for determining the regression line's quality of fit. It's the correlation coefficient squared.

Here, it is delivered that $r^{2} = 0.72$ , which indicates that the $72 %$ of variation in the dependent variable can be clarified by the independent variable utilizing the regression line.

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$x$	$y$	$x$	$y$
$0$	$2$	$5$	$12$
$3$	$8$	$4$	$9$
$2$	$7$	$3$	$9$
$1$	$3$	$0$	$3$
$5$	$13$	$4$	$10$

91影视

65. Explain what it means when a correlation has an $r^{2}$ of $0.72$ .

Short Answer

Step by step solution

Given information

Explanation

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91影视

65. Explain what it means when a correlation has anr2 of 0.72.

Short Answer

Step by step solution

Given information

Explanation

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65. Explain what it means when a correlation has an $r^{2}$ of $0.72$ .