7.12 Trees: The scatterplots below show the relationship between height, diamete

Question

7.12 Trees: The scatterplots below show the relationship between height, diameter, and volume of timber in 31 felled black cherry trees. The diameter of the tree is measured 4.5 feet above the ground.

(1) Describe the relationship between volume and height of these trees.

a) strong, positive

b) weak/moderate, positive

(2) Describe the relationship between volume and diameter of these trees.

a) weak/moderate, positive

b) strong, positive

(3) Suppose you have height and diameter measurements for another black cherry tree. Which of these variables would be preferable to use to predict the volume of timber in this tree using a simple linear regression model?

a) height

b) diameter

Explanation / Answer

(1) b) weak/moderate, positive

{The data is more spread out and hence, the relationship is weak}

(2) b) strong, positive

(3) b) diameter

{diameter shows stronger relationship with volume}

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