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AssignmentMultiple Choice

Residuals

Question 1 • DRHS GA-Statistical Reasoning

Which transformation of the weight of the giraffes may also linearize the relationship between weight and height?

Answer
A
Take the cube root of the weights.
B
Cube the weights.
C
Take the square root of the weights.
D
Square the weights.

Explanation

If weight grows roughly in proportion to the cube of height, the relationship is curved when weight is plotted against height. Taking the cube root of weight reverses that cubic pattern: if weight is proportional to height³, then cube root of weight is proportional to height, which is linear. So the cube root transformation is the one that may linearize the relationship.

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