The correlation between the height and weight of children ag

The correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. Suppose we use the height x of a child to predict the weight y of the child. We conclude that

Select one:

a. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

b. about 80% of the time, age will accurately predict weight.

c. height is generally 80% of a child’s weight

d. the least-squares regression line of y on x would have a slope of 0.8.

Solution

(a) is correct because r-square = 0.8^2 = 0.64, which implies that 64% of variation in y is explained by regression