EGR 103/Fall 2018/Lab 7

The following document is meant as an outline of what is covered in this assignment.

Typographical Errors

None yet!

Specific Problems

• Note in the skeleton that code is already given to bring in the files and figures. If you use different names, just change the names in the skeleton.
• Be sure to put the appropriate version of the honor code -- if you use the examples from Pundit, the original author is either DukeEgr93 or Michael R. Gustafson II depending on how you want to cite things.

Chapra 14.5

• See Python:Fitting#Polynomial_Fitting
• Be sure to also calculate and report \(s_{y/x}\) and \(r\), along with the \(S_t\), \(S_r\), and \(r^2\) values you have to report for every problem.

Chapra 14.7

• See Python:Fitting#General_Linear_Regression
• Whenever you have values on an axis that makes the axis numbers take up more space that they should, you can tell Python to use scientific notation on that axis. For this code, you will want to use scientific notation on the y axis; you can do this with the code:

plt.ticklabel_format(axis='y', style='sci', scilimits=(0, 0))

• Be sure to calculate, report, and discuss the R value. It is not the same as the slope of the line.

Chapra 14.7

• See Python:Fitting#Polynomial_Fitting and Python:Fitting#General_Linear_Regression
• The reason for having the dashed line plotted after the solid one is because the two lines are somewhat similar and this will let you see the first one in the gaps of the second one.

Chapra 15.10 Alternate

• See Python:Fitting#General_Linear_Regression
• Note that there are 5 things plotted on each of the two graphs. Be sure to include a legend.
• Also be sure to answer the questions.

Chapra 15.11

• See Python:Fitting#Nonlinear_Regression
• For the initial guesses, make sure you understand the subscripts for the parameters and then figure out how to approximate their values from the information provided in the problem.

Chapra 15.14(b)

• See Python:Fitting#Nonlinear_Regression
• This is another one where the tick labels might be best in scientific notation.
• For np.logspace(), note that the first and second arguments are the powers of ten to use in the range, not the values. That is:

np.logspace(1, 3, 5)

will give:

array([  10., 31.62,  100., 316.23, 1000.])