Question

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y = − 65.47 x + 94.96 and the r = − 0.389 . What proportion of the variation in y can be explained by the variation in the values of x? r² = % Report answer as a percentage accurate to one decimal place

Answer 1

Solution :

(1)

Given that r = − 0.389

we know that the amound of variation in y that can be explained by the the variation in the values of x is equal to the square of correlation coefficient r

so, proportion of variation = r^2

setting r value

we get

proportion of variation = − 0.389^2

= 0.151321

converting to %, we get

proportion of variation = 0.151321*100

= 15.13 %

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