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AP Statistics/Unit 2: Exploring Two-Variable Data
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Logarithmic Regression Model Prediction
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Consider a data set where the relationship between x and y is modeled by the equation $$y = a + b\log_{10}(x)$$. A least-squares regression line is fitted to the transformed data set $$(\log_{10}(x), y)$$ and is given by $$y = 2 + 3\log_{10}(x)$$. What is the predicted value of $$y$$ when $$x = 10$$?

A

6

B

8

C

5

D

7

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