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QuizMultiple Choice
Transforming to Achieve Linearity
Question 1 of 10 • Statistical Modeling - Content Recovery - Part B
Water is being poured into a large, cone-shaped cistern. The volume of water, measured in cm3, is reported at different time intervals, measured in seconds and is displayed in scatterplot A. Two transformations of the data are shown in the second and third graphs. Scatterplot B displays the relationship between time and the log of volume. Scatterplot C displays the relationship between the log of time and the log of volume. Which model best represents the relationship between time and volume?
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 power model would best represent the relationship because scatterplot C is fairly linear.D
A linear model would best represent the relationship because scatterplot C is fairly linear.