7
QuizMultiple Choice

Regression Analysis

Question 7 • EAP-Algebra Functions and Data Analysis B

A science class conducts an experiment using a falling object. The class determines that a quadratic regression equation y = –15.9x2 + 99.2 will model the height, in feet, of the object after x seconds. Based on this model, what is the approximate height of the object after 1.5 seconds?

Answer
A
51.5 ft
B
63.4 ft
C
83.3 ft
D
85.6 ft

Explanation

Substitute x = 1.5 into the model: y = −15.9(1.5)² + 99.2. Since (1.5)² = 2.25, the height is 99.2 − 35.775 = 63.425 feet, or about 63.4 feet. The correct choice is B, 63.4 ft.

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