For the following data:
a. Make a scatterplot of y versus x. Is the relationship between x and y approximately linear, or is it nonlinear?
b. Compute the natural logarithm of each y value. This is known as making a log transformation of y.Make a scatterplot of ln y versus x. Is the relationship between x and ln y approximately linear, or is it nonlinear?
c. In general, it is easier to work with quantities that have an approximate linear relationship than with quantities that have a nonlinear relationship. For these data, do you think it would be easier to work with x and y or with x and ln y? Explain.
(a)
The relationship is non-linear.
(b)
(c) It would be easier to work with x and ln y, because the relationship is approximately linear.
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