(a) Plot the data given by Table 5.22. What kind of function might fit this data well?

Chapter 5, Problem 59

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(a) Plot the data given by Table 5.22. What kind of function might fit this data well? (b) Using the substitution z = ln x, transform the data in Table 5.22, and compile your results into a new table. Plot the transformed data as ln x versus y. (c) What kind of function gives a good fit to the plot you made in part (b)? Find a formula for y in terms of z that fits the data well. (d) Using the formula from part (c), find a formula for y in terms of x that gives a good fit to the data in Table 5.22. (e) What does your formula from part (d) tell you about x as a function of y (as opposed to y as a function ofx)?

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