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: = 36.1 ; = 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.