r = -0.579 Calculate the coefficient of determination. (Round to three decimal places as needed.) What does this tell you about the explained variation of the data about the regression line? % of the variation can be explained by the regression line. (Round to one decimal place as needed.) About the unexplained variation? % of the variation is unexplained and is due to other factors or to sampling error. (Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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### Understanding the Coefficient of Determination

Given:

\[ r = -0.579 \]

**Task: Calculate the Coefficient of Determination**

- Calculate the coefficient of determination.  
- (Round to three decimal places as needed.)

**Explained Variation:**

- What does this tell you about the explained variation of the data about the regression line?

\[ \_\_\_\_ \%\] of the variation can be explained by the regression line.  
- (Round to one decimal place as needed.)

**Unexplained Variation:**

- About the unexplained variation?

\[ \_\_\_\_ \%\] of the variation is unexplained and is due to other factors or to sampling error.  
- (Round to one decimal place as needed.)
Transcribed Image Text:### Understanding the Coefficient of Determination Given: \[ r = -0.579 \] **Task: Calculate the Coefficient of Determination** - Calculate the coefficient of determination. - (Round to three decimal places as needed.) **Explained Variation:** - What does this tell you about the explained variation of the data about the regression line? \[ \_\_\_\_ \%\] of the variation can be explained by the regression line. - (Round to one decimal place as needed.) **Unexplained Variation:** - About the unexplained variation? \[ \_\_\_\_ \%\] of the variation is unexplained and is due to other factors or to sampling error. - (Round to one decimal place as needed.)
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