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Statistics: Simple regression of tree height on bark thickness

32)
Two models were proposed for a simple regression of tree height on bark thickness, Model A: Height' = 7.8*Bark + 37 and Model B: Height' = 8*Bark + 35. Using the information and calculations below, which model is best?

Model A: Height' = 7.8*Bark + 37
Tree ID Height (feet) Bark Thickness (millimeters) Predicted Height Error Squared Error
1 150 15
2 175 18 177.4 -2.4 5.76
3 225 21 200.8 24.2 585.64
4 200 23 216.4 -16.4 268.96

Model 8: Height' = 8*Bark + 35
Tree ID Height (feet) Bark Thickness (millimeters) Predicted Height Error Squared Error
1 150 15 155 -5 25
2 175 18 179 -4 16
3 225 21 203 22 484
4 200 23

a) Model A
b) Model B
c) The models are identical
d) It is impossible to determine the best model.

Solution Summary

The simple regression of tree height on bark thickness is examined.

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