Question: How much wood is in that tree? For a sample of 12 trees, the volume of lumber (y) (in cubic meters) and the diameter (x)

How much wood is in that tree? For a sample of 12 trees, the volume of lumber (y) (in cubic meters) and the diameter

(x) (in centimeters) at a fixed height above ground level was measured. The following summary statistics were obtained:

̄x = 36.1 sx = 8.8 ̄y = 0.86 sy = 0.49 r = 0.94

a. Compute the least-squares regression line for predicting volume from diameter.

b. If the diameters of two trees differ by 8 centimeters, by how much do you predict their volumes to differ?

c. Predict the volume for a tree whose diameter is 44 centimeters.

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