Correlation

If, in an expression (whose content need not be a judgeable content), a simple or complex symbol occurs in one or more places, and we think of it as replaceable at all or some of its occurrences by another symbol (but everywhere by the same symbol), then we call the part of the expression that on this occasion appears invariant the function, and the replaceable part its argument.

—Gottlob Frege, Begriffsschrift

Instructions

1. Read the Background section.

2. Read the Correlation Function section. Follow along with the instructions in that section. Watch the accompanying video at the end of the section. Type each command as shown into your calculator to create the CORREL function.

3. Read the SSE Function section. Carefully read the SSE function requirements. Create the indicated function so that it fulfills the given requirements.

4. On the project due date, plug your calculator into the ViewSonic in the classroom and export your programs for grading. At the end of the project, you should have two functions CORREL and SSE. These functions must satisfy the requirements given in each of the sections below.

Background

TODO

TI Basic

TODO

Bivariate Statistics

TODO

Correlation

TODO

TODO

SSE

TODO

TODO

Correlation Function

TODO

Video

The following video walks you through creating the CORREL function on your calculator.

SSE Function

TODO

SSE Function Requirements

1. The function should run the calculator_linreq program and store the line of best fit.

2. The function should calculate the residuals of the stored Linear Regression model.

3. The function should calculate the sum squared of the residuals.

4. The function should display the results of the calculation back to the user in a readable format.

Extra Credit

You have an opportunity to get 5% Extra Credit on your overall Project grade if your SSE function also accomplishes the following:

1. The function prints SSR to screen in a readable format.

2. The function prints SST to screen in a readable format.

3. The function prints the coefficient of determination, , to screen.