Data Analysis Exam
# Data Analysis Exam

## The Rules

This is the Data Analysis portion of the final exam for Physics 134, and
is held on a "redo" basis. It must be completed satisfactorily by Wednesday,
May 2 for you to pass the course.

Each student must take this portion of the exam independently; do not seek
help from other people, whether students in the course or not.

Submit your answers to Prof. Saeta's office. If I'm not in, slide them
under the door.

## The Problem

You are collaborating with a partner on an experiment when you are taken
ill with a nasty flu bug and must scurry home to ride it out. Your partner
takes all the data, which is saved in a text file, but doesn't have time to
analyze it. When you recover, you decide to analyze it for the expected
square root behavior.

The data are available by clicking here. You can
save them from the browser to a text file that can be imported into your
data analysis package of choice, or you can type them in again. (Browsers
can convert tabs to spaces; if you want to avoid this, you may be able to
by saving the **Source** of the page, not the **Text**.)
Perform the necessary averages, prepare a plot and a fit to the expected
square root dependence, and then either add the residuals to the plot or
prepare a second plot of residuals. Be sure to include the fit results on
one of the plots. Then answer the following questions:

- What is the value of c
^{2}?

- How many degrees of freedom does the fit have?

- What is the value of reduced c
^{2}?

- What is the probability that one would obtain a larger value of
reduced c
^{2} on repeating the experiment, assuming all significant
errors are random and that the square-root theory is correct?

- As it turns out, you are on "Who Wants to be a Millionaire" and have
done very well. Indeed, you are at the final question and must answer for
the cool million the following question: "Do the data support the theory?"
Regis, Profs. Saeta and Sparks, and your grade are hanging on your answer.
How do you answer
*and why*? (i.e., justify your claim).
No, there is no lifeline.