Chapter 49

The power curve

Questions answered in this chapter:

  • As my company produces more of a product, it learns how to make the product more efficiently. How can I model the relationship between units produced and the time needed to produce a unit?

  • Does Excel’s trend curve correctly fit power curves?

A power curve is calculated by Equation 1, y = axb, where a and b are constants. Using a trend curve, you can determine the values of a and b that make the power curve best fit a scatter chart.

In most situations, a is greater than 0. When this is the case, the slope of the power curve depends on the value of b, as follows:

  • When b > 1, y increases as x increases, and the slope of the power curve increases as x increases.

  • When 0 < b < 1,

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