A good data set to explore linear regression is analyzing the relationship between the number of spaces a property is from GO and the cost of that property (on a classic Monopoly board). This is actually a TI-Nspire activity which can be found on their website.
This easy to follow handout helps you teach your students to use the TI 83 - 84 Graphing Calculator to enter data into lists, create a linear regression equation and to plot the equation along with the data. Also included is a three page worksheet with five real world examples. Great for Algebra, College Algebra, Statistics, AP and Regular, and for the new SAT. Support for newer OS of the TI 84.
Regression analysis: in statistics, a statistical process for estimating the relationships among variables; focus is on the relationship between a dependent variable and an independent variable; linear regression models are often fitted using the least squares approach, but they may be fitted in other ways, such as minimizing the lack of fit