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Back to 13.5 Interpretation of Regression Coefficients: Elasticity and Logarithmic Transformation

13.5 Exercise 2

Avg difficulty 2.5

Suppose one collected the following information where X is diameter of tree trunk and Y is tree height.

X Y
4 8
2 4
8 18
6 22
10 30
6 8

Regression equation: y^i=−3.6+3.1⋅Xi\overset{^}{y}_{i} = −3.6 + 3.1 \cdot X_{i}

What is your estimate of the average height of all trees having a trunk diameter of 7 inches?

OpenStax Introductory Business Statistics 2e, 13.5 Interpretation of Regression Coefficients: Elasticity and Logarithmic Transformation, exercise 2

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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.