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If the r-value, or correlation coefficient, of a data set is 0.854, what is the

coefficient of determination to three decimal places?
A. 0.829
• B. 0.754
• C. 0.729
D. 0.854

User Jizelle
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1 Answer

1 vote
Answer with explanation:
Coefficient of determination(r²), is defined as, how well the data values are associated with each other when Regression line is drawn. In regression analysis, the coefficient of determination measures , how well the regression predictions approximate the real data points, means it measures the closeness between two variables.The Value of r², lies between 0 to 1. If value of r²=1, it shows ,regression line that is data values are Perfectly associated with each other.
If ,r²=0, it means there is no variation between two variables.There is 0% variation between two variables.
→Coefficient of Variation=[Correlation coefficient]²
=r²
=(0.854)²
=0.854 × 0.854
=0.729316
=0.730(Approx)
User Chamanhm
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