A scatterplot of y versus x shows a positive, nonlinear association. Two different transformations are attempted to
Question:
A scatterplot of y versus x shows a positive, nonlinear association. Two different transformations are attempted to try to linearize the association: using the logarithm of the y values and using the square root of the y values. Two least-squares regression lines are calculated, one that uses x to predict log(y) and the other that uses x to predict !y.
Which of the following would be the best reason to prefer the least-squares regression line that uses x to predict log(y)?
(a) The value of r2 is smaller.
(b) The standard deviation of the residuals is smaller.
(c) The slope is greater.
(d) The residual plot has more random scatter.
(e) The distribution of residuals is more Normal.
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