Which statement about re-expressing data is true?
A) To make unimodal distribution that is skewed to the left more symmetric we should take the square root of the variable.
B) Transforming data cannot make a scatterplot and residual plot less spread out.
C) Transforming data is based only on the logarithmic function of the response variable.
D) One goal of re-expressing may be to make the variability of the response variable more uniform.
E) Re-expressing data by the logarithms should be used only when we want make the form of the scatterplot more nearly linear.

Question

Quizplus · Accepted Answer

Re-expressing data can be used to make the variability of the response variable more uniform, which can help to meet certain assumptions of statistical models such as equal variance. Choice A is not always true, as the appropriate transformation depends on the specific distribution and skewness of the data. Choice B is false, as transforming data can indeed make scatterplots and residual plots less spread out. Choice C is false, as there are various mathematical functions that can be used for data transformation. Choice E is not always true, as a logarithmic transformation may not necessarily result in a more nearly linear scatterplot.

Which Statement About Re-Expressing Data Is True