It's easy to measure the circumference of a tree's trunk, but not so easy to measure its height.
Foresters developed a model for ponderosa pines that they use to predict the tree's height (in feet)
From the circumference of its trunk (in inches): ln $\hat { h } = - 1.2 + 1.4 ( \ln C )$
) ) A lumberjack finds a tree
With a circumference of 60"; how tall does this model estimate the tree to be?
A) 93'
B) 83'
C) 5'
D) 11'
E) 19'

Question

Quizplus · Accepted Answer

To find the estimated height, substitute C = 60 into the model: ln(ĥ) = -1.2 + 1.4(ln(60)). Calculate ln(60), multiply by 1.4, add -1.2, and then exponentiate to find ĥ. The result is approximately 93 feet.

It's Easy to Measure the Circumference of a Tree's Trunk h^=−1.2+1.4(ln⁡C)\hat { h } = - 1.2 + 1.4 ( \ln C )h^=−1.2+1.4(lnC)

It's Easy to Measure the Circumference of a Tree's Trunk $\hat { h } = - 1.2 + 1.4 ( \ln C )$