Chapter 7, Problem 14PT2

To determine

To draw: The conclusion using the provided information.

Explanation of Solution

Given:

The correlation for the age and height of the children ( r ) = 0.60.

Calculation:

Using the provided value of the correlation, the coefficient of determination can be calculated as:

  $\begin{array}{c}\text{Coefficient of determination =}{\left(\text{Correlation}\right)}^2\\ ={\left(0.60\right)}^2\\ =0.36\end{array}$

Interpretation:

The coefficient of determination shows the variation that is explained by the predictor variable on the response variable.

Here, the value of the coefficient of determination shows that the 36% of the variation on height is explained by the least square line

Thus, the correct option is (c).