45.5 41.4 29.7 108.1 Find the corelation coefficient and report it accurate to t

Question

45.5 41.4 29.7 108.1 Find the corelation coefficient and report it accurate to three decimal places. 326 #8,Points possible: 1. Total attempts: 1 Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as and the r = 0.561. What proportion of the variation in y can be explained by the variation in the values of x2 45.65a + 65.52 Report answer as a percentage accurate to one decimal place. #9 Points possible: 8. Total attempts: 1 Here is a bivariate data set. 68.2 129.6 52.4 163.3 68.5 98.2 66.6102

Explanation / Answer

The coefficient of determination determines the proportion of the variance in the dependent variable explained by the variance in the independent variable.

The coefficient of determination is computed as the square of the correlation coefficient. Therefore, we get:

R2 = r2 = 0.5612 = 0.314721

Therefore 31.5% of the variation in y can be explained by the variation in the values of x.

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