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AP Statistics/Unit 2: Exploring Two-Variable Data
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Logarithmic Regression Model Prediction

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The relationship between two variables, x and y, can be modeled by the equation y=a+blog⁡10(x)y = a + b\log_{10}(x). After transforming the data to (log⁡10(x),y)(\log_{10}(x), y), a least-squares regression yields the line y=2+3log⁡10(x)y = 2 + 3\log_{10}(x). According to this model, what is the predicted value of yy when x=10x = 10?

A

8

B

7

C

5

D

6

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