Use the value of the correlation coefficient to calculate the coefficient to cal

Question

Use the value of the correlation coefficient to calculate the coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r= 0.125 Use the value of the correlation coefficient to calculate the coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r= 0.125 r= 0.125

Explanation / Answer

Solution :

Giuven that,

r = 0.125

Coefficient of deternination = r2 = 0.1252 = 0.015625

The explained variation of the data about the regression line is = 1.5625%

Unexaplained variation = 1 - 1.5625% = 98.4375%

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