Assignment 19 query

course mth 163

assignment #019

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019. `query 19

Precalculus I

03-30-2007

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23:21:26

explain the steps in fitting an exponential function to data

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RESPONSE -->

First of all make of table with T = period vs. L = length. With this information we make a graph. The line repreents the ""best-fit"" model.

We can find the slope and the y-intercept. And then find the equation of the line.

Once we have that we that then you lpug in points from your line to see if they fit the data.

confidence assessment: 1

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23:23:12

** If you have two points you can solve the simultaneous equations. If you have a more extensive data set you use transformations.

For exponential data you plot log(y) vs. x. If the graph is a straight line then you have a good fit.

If the slope is m and the vertical intercept is b then your graph gives you log(y) = m x + b.

You invert the transformation using the inverse function 10^x, obtaining 10^log(y) = 10^(mx+b) so that

y = 10^(mx) * 10^b, and then rearrange this into the desired form.

Note that if a power function fits the data then log y vs. log x will give a straight line so that log y = m log x + b. In this case our solution will be y = 10^b * x^m, a power function rather than an exponential function. **

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RESPONSE -->

I did not give the actual formula for a line or talk about taking the log og the equations, but I do now understand that you have to inverse it.

self critique assessment: 1

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Good. Let me know if you have questions.