A forester wishes to predict the volume (in cubic feet) of usable lumber in a certain species of tree using the height (in feet) and diameter (in inches) of the trees. The height and diameter of 31 trees of a certain species were measured, the trees were cut down, and the volume of usable lumber was determined. The response and explanatory variable (s) in this study are:

Question

Mathematics

Kristopher

21 November, 07:47

A forester wishes to predict the volume (in cubic feet) of usable lumber in a certain species of tree using the height (in feet) and diameter (in inches) of the trees. The height and diameter of 31 trees of a certain species were measured, the trees were cut down, and the volume of usable lumber was determined. The response and explanatory variable (s) in this study are:

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John Snow · Answer 1

Answer: The response variable = Volume

and explanatory variable (s) in this study are: Height and Diameter.

Step-by-step explanation:

Important definitions:

The explanatory variable is a type of independent variable manipulated by the experimenter for the ongoing experimental study. The response variable is a type of dependent variable which depends on the explanatory values provided by the experimenter.

Given: A forester wishes to predict the volume (in cubic feet) of usable lumber in a certain species of tree using the height (in feet) and diameter (in inches) of the trees.

Here, Volume directly depends upon the height and diameter of the tree.

Also, forester (Experimenter) wants to predict volume by cutting tree that means it is an response variable and it depends on height and diameter, so height and diameter are explanatory variable.

Hence, The response variable = Volume

and explanatory variable (s) in this study are: Height and Diameter.