Question: There is a procedure to determine whether data can be modeled by y = ax b , where a and b are constants. Start by

There is a procedure to determine whether data can be modeled by y = ax^b, where a and b are constants. Start by taking the natural logarithm of each side of this equation. In y = In (ax") In y = Ina + Inxh Iny

If we let z = Iny, d = Ina, and w=lnx, then the equation Iny = Ina + blnx becomes = d+ bw. Thus the data points (w, z) = (In.x, In y) lie on the line having a slope of b and y-intercept d = Ina. The following steps provide a procedure for finding the con- stants a and b.

In y = In (ax") In y = Ina + Inxh Iny Ina + bln.x

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