The table below illustrates the dramatic increase in the number of transistors per square mm on computer
Question:
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.
Year Transistors/mm² 1974 1979 1985 1989 1993 1999 Chip 8080 8088 80386 80486 Pentium Pentium III Katmai Pentium D Presler 2006 8-core Itanium Poulson 2012 Xeon Broadwell-E5 AMD Epyc Rome 2016 2019 300 879 2644 6822 10,544 74,219 2,234,568 5,698,529 15,789,474 36,341,912
Step by Step Answer:
Using the procedure suggested take the natural logarithm of the numberof...View the full answer
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