Question

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 v 2.3 3.7 5.7 9.9 6.9 15.8 15.4 36.9 34.6 53.2 a. Make a scatterplot of y versus x. Is the relationship between r 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? 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 In y? Explain.

Answer 1

a) From scatter plot, there is positive linear relationship between x and y.

b) From scatter plot, there is perfect positive linear relationship between x and y.

c) In part a we have positive linear relationship between x and y and in part b we have perfect positive linear relationship between x and y therefore it would be easier to work with x and ln y.