2
QuizMultiple Choice

Transforming to Achieve Linearity

Question 2 • DRHS GA-Statistical Reasoning

The lengths and weights for 15 different-sized bluegill fish were measured and recorded. Scatterplot A displays the relationship between the length, in inches, and the weight, in ounces, for each fish. Two transformations of the data are shown in the scatterplots B and C. Scatterplot B displays the relationship between the length and the natural log of the weight. Scatterplot C displays the relationship between the natural log of the length and the natural log of the weight.Which model best represents the relationship between the bluegills’ lengths and weights?

Question illustration
Answer
A
A linear model would best represent the relationship because scatterplot A is fairly linear.
B
An exponential model would best represent the relationship because scatterplot B is fairly linear.
C
A linear model would best represent the relationship because scatterplot C is fairly linear.
D
A power model would best represent the relationship because scatterplot C is fairly linear.
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