# Applied Multivariate Statistical Analysis (6th edition) Textbook Solutions Chapter 4 Problem 27

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#### Problem

Consider the radiation data (with door closed) in example 4.10. Construct a *Q*–*Q* plot for the natural logarithms of these data. [Note that the natural logarithm transformation corresponds to the value λ = 0 in (4-34).] Do the natural logarithm appear to be normally distributed? Compare your results with Figure 4.13. Does the choice or λ = 0 make much difference in this case?

#### Solution

The Q-Q Plot is shown below:

The Q-Q Plot is reasonably straight.

*r _{Q= }*

_{0.978 (λ=0)}

For λ=1/4, *r _{Q }*=0.99

So λ=1/4 is a bit better choice for normalizing transformation.

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