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Transforming to Achieve Linearity Answers

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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?

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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.
2
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When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The relationship between the time and area of the circles was analyzed and is shown in the computer output.

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3

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. A regression analysis was completed and is displayed in the computer output.

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Option A
B
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Option B
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Option C
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Option D
4

Water is poured into a large, cone-shaped cistern. The volume of water, measured in cm3, is reported at different time intervals, measured in seconds. A regression analysis was completed and is displayed in the computer output.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Data were recorded for the temperature, in degrees Celsius, of a cup of coffee over a 30-minute period. Given the regression equation, , what is the predicted temperature after 5 minutes?

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A
59.44 oC
B
64.26 oC
C
65.17 oC
D
66.69 oC

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