Homework assignment #4
Slightly modified exercise 4.12 from Bevington, and question 6.4 from Bevington. The questions are reproduced below.
4.12 Take the data that you
used in HW #1, problem 1 (this file) , and the
histogram you generated of the data in 5-point bin intervals. Plot a Gaussian
curve based on the mean and standard deviation of the data, normalized
to the area of the histogram. Apply the chi-square test and check
the associated probability from table C.4 in Bevington. (For a definition
of the "chi-square" test, see section 4.3 of Bevington, or Taylor Chpt
6.4 Derive a formula for making a linear fit to data with an intercept at the origin so that y=bx. Apply your method to fit a straight line through the origin to the following set of data. Assume uniform uncertainties of si=1.5 in yi. Find chisq for the fit and the uncertainty in b. Note, do this problem analytically, i.e., do not use a spreadsheet, unless you show the formula you use for each column. Do not use packaged fitting routines.