Regression Analysis

Question 3 • EAP-Algebra Functions and Data Analysis B

Review the table showing the height of a Ferris wheel seat over time.Time (Seconds)Height (Feet)0315102020242327243025382345166057512

Answer

In the quadratic regression model, the explanatory variable is time and the response variable is the height.

In the quadratic regression model, the explanatory variable is the height and the response variable is time.

In the trigonometric regression model, the explanatory variable is time and the response variable is the height.

In the trigonometric regression model, the explanatory variable is the height and the response variable is time.

Explanation

Time is the input used to predict the seat’s height, so time is the explanatory variable and height is the response variable. A Ferris wheel’s seat rises and falls in a repeating cycle, which is modeled by a trigonometric function. Therefore, the correct choice is the trigonometric regression model with time as the explanatory variable and height as the response variable.

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