Question

In addition to the regression line, the report on the Mumbai measurements says that r2 =0.95. This suggests that

a. although arm span and height are correlated, arm span does not predict height very accurately.

b. height increases by 0.95=0.97 cm for each additional centimeter of arm

span.

c. 95% of the relationship between height and arm span is accounted for by the regression line.

d. 95% of the variation in height is accounted for by the regression line with x = arm span. e. 95% of the height measurements are accounted for by the regression line with x = arm span.

Short answer

The correct option is (d).

Step-by-step solution

Given information

The coefficient of determination ${(r)}^2=0.95$

Regression line:$\stackrel{⏜}{y}=6.4+0.93x$

Explanation

The coefficient of determination reveals how much variance in the response variable is explained by the predictor variable. The coefficient of determination indicates that the least square line with the arm span explains $95$ percent of the variation in height.

Thus, the correct option is (d).