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    Statistics: Simple regression of tree height on bark thickness

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    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.

    © BrainMass Inc. brainmass.com June 3, 2020, 11:42 pm ad1c9bdddf
    https://brainmass.com/statistics/regression-analysis/statistics-simple-regression-tree-height-bark-thickness-293940

    Solution Summary

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

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