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

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

daniellelovee · Answer

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.

mathmale · Answer

The coefficient of determination is simply the square of the correlation coefficient, r..

daniellelovee · Answer

sorry I don't understand what im supposed to do exactly :( @mathmale

daniellelovee · Answer

@jim_thompson5910

mathmale · Answer

the correlation coefficient, r, is -5.  To obtain the coeff. of determination, you'll need to square that r.  What is r^2 in this context?