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 volune of timber in 31 felled black cherry trees. The diaeter of the tree is measured 4.5 feet above the ground 70 70 40 40 10- 10-0 65 75 85 12 16 20 Height (in ft) Diameter (in inches) (a) Describe the relationship between volume and height of these trees. Ostrong, positive O weak/moderate, positive (b) Describe the relationship between volume and diameter of these trees. O weak'moderate, positive strong. positive (c) 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? O diameter Oheight

Explanation / Answer

a) Here the relationship between volume and height of these trees,

weak/moderate, positive.

b) Here the relationship between volume and diameter of these trees,

strong, positive.

c) If I have height and diameter measurement for another tree, then we use diameter to predict the volume using a simple linear regression model, as the linear relationship between volume and diameter is strong.

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