AP Statistics : How to do logarithmic transformations

Study concepts, example questions & explanations for AP Statistics

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Example Questions

Example Question #12 : Bivariate Data

       

   

Possible Answers:

    

     

Correct answer:

     

Explanation:

     

Example Question #12 : Bivariate Data

What transformation should be done to the data set, with its residual shown below, to linearize the data?

Graphic residual analysis 6

Possible Answers:

Nothing, the data set is already linear

Add \displaystyle 65 to the y-value of each data point

multiply the dependent variable by a constant k.

take the log of the dependent variable

multiply the independent variable by \displaystyle 2

Correct answer:

take the log of the dependent variable

Explanation:

Taking the log of a data set whose residual is nonrandom is effective in increasing the correleation coefficient and results in a more linear relationship.

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