The table below illustrates the dramatic increase in the number of transistors per square mm on computer

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The table below illustrates the dramatic increase in the number of transistors per square mm on computer chips since 1974.

(a) To fit the data to a function of the form y = abt, where t is the number of years since 1970 and y is the number of transistors per mm2, we could take natural logarithms of both sides of the equation to get ln y = ln a + t ln b. We could then let w = ln y, r = ln a, and s = ln b to form w = r + st. Using linear regression, find values for r and s that will fit the data. Then find the function y = abt.

(b) Use the solver capability of a spreadsheet to find a function of the form y = abt that fits the data in the table. 

(c) Compare your answer to this problem with the one found with a graphing calculator in the chapter on Nonlinear Functions.

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