For the following data: x| 1.4 2.4 4.0 4.9 5.7 6.3 7.8 9.0 9.3 11.0 2.3 3.7 5.7 9.9 6.9 15.8 15.4 36.9 34.6 53.2 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 In y versus x. Is the relationship between x and In y approximately linear, or is it nonlinear? 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 In y? Explain. a. C.

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For the following data:
x| 1.4 2.4 4.0 4.9 5.7 6.3 7.8 9.0 9.3 11.0
2.3 3.7 5.7 9.9
6.9 15.8 15.4 36.9 34.6 53.2
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 In y versus x. Is the relationship between x
and In y approximately linear, or is it nonlinear?
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 In y? Explain.
a.
C.
Transcribed Image Text:For the following data: x| 1.4 2.4 4.0 4.9 5.7 6.3 7.8 9.0 9.3 11.0 2.3 3.7 5.7 9.9 6.9 15.8 15.4 36.9 34.6 53.2 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 In y versus x. Is the relationship between x and In y approximately linear, or is it nonlinear? 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 In y? Explain. a. C.
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