Chapter 3.2, Problem 77E

To determine

To find: the given valuesuggests which of the following statement

Answer to Problem 77E

Option (a) is the correct one.

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

Explanation of Solution

Given:

  $\widehat{y}=6.4+0.93x$

  $r^2=0.95$

Calculation:

Measurements on young children in Mumbai, India, found a least-squares line for predicting height Y from arm span X.

  $\widehat{y}=6.4+0.93x$

Measurements are in centimeters (cm).

The coefficient of determination $r^2$ is the fraction of the variation in the values of Y that is accounted for by the least squares regression line of Yon X.

Here, $r^2=0.95$ it suggests that 95% of the variation in height is accounted for by the leastsquares regression of height on arm span.

Conclusion:

Therefore, option a is the correct one