Question: In some data sets, a transformation by some mathematical function applied to the original data, such as y or log y, can result in data

In some data sets, a transformation by some mathematical function applied to the original data, such as √y or log y, can result in data that are simpler to work with statistically than the original data. To illustrate the effect of a transformation, consider the following data, which represent cycles to failure for a yarn product: 675, 3650, 175, 1150, 290, 2000, 100, 375.
(a) Construct a normal probability plot and comment on the shape of the data distribution.
(b) Transform the data using logarithms; that is, let y* (new value) = log y (old value). Construct a normal probability plot of the transformed data and comment on the effect of the transformation.

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a The data do not appear to be normally distributed There is a curve in the ... View full answer

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