7
QuizMultiple Choice

Transforming to Achieve Linearity — Quiz

Question 7 • Statistical Reasoning

The lengths, in inches, and corresponding weights, in ounces, for 15 different-sized bluegill fish were measured and recorded. Given the regression equation, the natural log of widehat Weight is equal to negative 5 point 2 8 plus 3 point 4 4 ln Length , what is the expected weight for a bluegill fish that is 11 inches long?

Answer
A
37 point 8 4 ounces
B
32 point 5 6 ounces
C
31 point 1 9 ounces
D
19 point 4 7 ounces

Explanation

Substitute Length = 11 into the regression equation: ln(predicted Weight) = −5.28 + 3.44 ln(11) ≈ 2.969. Since the equation gives the natural log of the weight, exponentiate: predicted Weight = e^2.969 ≈ 19.47 ounces. The expected weight is 19.47 ounces, choice D.

AI-written and checked against the verified answer.

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