Evolution of Processor Speed

In this project we are going to compare the difference between using a quadratic function and an exponential function to predict the speed of a computer's CPU (Central Processing Unit). The table below gives the name of the CPU, the date it was first issued, and how many Millions of Instructions Per Second (MIPS) that the CPU could carry out. Let x = 0 for the year 1971 and with a statistical package or a graphing calculator make a scatterplot with the number of years since 1971 as the independent variable and MIPS as the dependent variable. Using a statistical package or a graphing calculator fit a quadratic equation to this data set. Using this quadratic equation, predict the MIPS for a computer released a year from today and for a computer released in the year 2052.

With a statistical package or a graphing calculator fit an equation of the form ln y = . . . . Rewrite this equation using properties of exponents so it is of the form y = . . . . Use this equation to predict the MIPS for a computer released a year from today and for a computer released in the year 2052.

Compare your quadratic predictions with the exponential predications. Which equation do you think gives the better predictions, the quadratic or exponential? Explain.

Evolution of Processor Speed

Related Links:

Webopedia's MIPS page