Chapter 3, Problem T3.10SPT

To determine

To find out what is the ideal value of k to use for predicting metabolic rate.

Answer to Problem T3.10SPT

The option (d) is the correct option.

Explanation of Solution

As in the scatterplot showing the relationship between SSR and k we note that the SSR is smallest when $k=31$ because the lowest point in the scatterplot corresponds with $k=31$ . This then also implies that we should use $k=31$ to make predictions when using the model because $k=31$ is the least squares direct variation regression line between x and y as it minimizes the sum of the squares residuals. Thus, option (d) is the correct option.