Question:
See Data Set 19 in Appendix B. If you draw a scatter plot to compare (y) the maximum life spans of the first six animals listed with (x) their metabolic rates, there appears to be a nonlinear relationship. For those data, find the linear equation (y = bQ + b{x) that best fits the sample data. Then find the exponential equation (y = a • ebx, where e represents the constant 2.7182818) that best fits the sample data. [Hint: Begin by replacing each y (max life) value with In y. Perform the linear regression versus x (metabolic rate). To transform the results of the regression: a for the exponential equation equals the constant e raised to the power bQ (from the linear regression), and b for the exponential equation equals b {.\ Which of these two equations fits the data better? Explain.