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A horticulturalist has been studying the relationship between the height in inches of Japanese maples growing...

  1. A horticulturalist has been studying the relationship between the height in inches of Japanese maples growing behind her laboratory and the diameter in inches of their trunks. She measures the height and diameter of 8 trees and observes the following data points:

Tree height

Trunk Diameter

r = 0.88

Mean: 40.125

Mean: 9.125

Variance: 175.839

Variance: 6.696
  1. Determine the regression equation for predicting trunk diameter from tree height.

  1. Using this regression equation, predict the trunk diameter for a tree 72” in height.

  1. What percent of the variability in trunk diameter does this model predict?
Math   Statistics-And-Probability   
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