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Is the uncertainty consistent?

  1. Jul 19, 2014 #1
    1. The problem statement, all variables and given/known data

    I am given a set of x and y values x: (1,2,3,etc.) y: (1.2,2.2,3.1,etc.) with a given uncertainty and am asked

    a) find the best fit

    b) at what prob can you rule out a 5% higher slope

    c) is the stated uncertainty consistent with the data?

    2. Relevant equations



    3. The attempt at a solution

    I can find the best fit relatively easily by minimizing chi-sqd and setting the derivatives to 0. I am confident in my result as it matches with the graph given by excel.

    For part 2 I tried putting a higher value for the given slope into the chi-sqd equation and checking a chart but that didn't give me a reasonable answer (not completely sure about the degree of freedom)

    I am not sure how to approach the third part. I have computed the errors in the fitting coefficients but that doesn't seem to play into it.

    Thanks,
     
  2. jcsd
  3. Mar 2, 2015 #2

    DEvens

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    Education Advisor
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