qa 19

course MTH 163

11/29 9:30 pm

If your solution to stated problem does not match the given solution, you should self-critique per instructions at

http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm.

Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

019. `query 19

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Question: `qexplain the steps in fitting an exponential function to data

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Your solution: when you have two points you can solve the simultaneous equations by dividing the equations.

Solving for one variable, then substitute that variable back in to the original equation to find the other variable.

confidence rating: 2

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Given Solution:

`a** 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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Self-critique (if necessary):

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Self-critique rating:

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&#Very good responses. Let me know if you have questions. &#