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

(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 of x)?

 

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