Chapter 8, Problem 14E

To determine

To explain if you create a regression model for estimating the height of a pine tree in feet based on the circumference of its trunk in inches, is the slope most likely to be $0.1,1,10\text{ or 100}$ .

Answer to Problem 14E

It will be $\text{10}$ .

Explanation of Solution

It is given that if you create a regression model for estimating the height of a pine tree in feet based on the circumference of its trunk in inches then is the slope most likely to be $0.1,1,10\text{ or 100}$ . Thus, if the slope of the relationship is,

  $\frac{\text{Height}}{\text{Circumference}}$

Then the height of the tree would increase faster that the circumference of the tree. Therefore, the slope would be greater than one. However, the height would likely not increase so quickly to constitute a slope of $\text{100}$ , so the slope would most likely to be $\text{10}$ .