Question: Stretching a scatterplot. Changing the units of measurement can greatly alter the appearance of a scatterplot. Consider the following data: x 4 4 3 3

Stretching a scatterplot. Changing the units of measurement can greatly alter the appearance of a scatterplot.

Consider the following data:

x −4 −4 −3 3 4 4 y 0.5 −0.6 −0.5 0.5 0.5 −0.6

(a) Draw x and y axes each extending from −6 to 6. Plot the data on these axes.

(b) Calculate the values of new variables x* = x/10 and y* = 10y, starting from the values of x and y. Plot y*
against x* on the same axes using a different plotting symbol. The two plots are very different in appearance.

(c) Find the correlation between x and y. Then find the correlation between x* and y*. How are the two correlations related? Explain why this isn’t surprising.

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