Expected time for weight loss In 2014, the statistical summary of a weight loss survey was created and published on www.statcrunch.com.

a. In this study, it seemed that the desired weight loss (in pounds) was a good predictor of the expected time (in weeks) to achieve the desired weight loss. Do you expect r2 to be large or small? Why?

b. For this data, r = 0.607. Interpret r2.

c. Show the algebraic relationship between the correlation of 0.607 and the slope of the regression equation b = 0.437, using the fact that the standard deviations are 20.005 for pounds and 14.393 for weeks. (Hint:

Recall that = rsy/sx.)