- 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?
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.