Question

Use the correlation coefficient to find the coefficient of determination.

What percent of variation in the response variable can be explained by changes in the explanatory variable?


r=−0.5


coefficient of determination: 0.1; 10% of the variation in the response variable can be explained by changes in the explanatory variable

coefficient of determination: 0.25; 25% of the variation in the response variable can be explained by changes in the explanatory variable

coefficient of determination: 0.5; 50% of the variation in the response variable can be explained by changes in the explanatory variable

coefficient of determination: 0.71; 71% of the variation in the response variable can be explained by changes in the explanatory variable

Answer 1

coefficient of determination is r^2 (not just r, so be sure to square your r-value)

it gives you the % of variation in the response variable which can be explained by changes in the explanatory vairable