Instructions for Performing a Regression

Using the TI-82

 


 1. Enter your experimental data into the calculator's list memory. (This example uses the same data from the Entering List Data sample.)
 2. Press [STAT] to call up the main statistical menu.
 3. Use the right arrow to highlight CALC.  This will pull up the statistical calculations sub-menu.
 4. Choose 3:SetUp to open the interface you will use to specify the data set upon which to perform the regression.
 5. Because a regression is a process of relating two sets of variables to one another, move your cursor down into the 2-Var Stats portion of the Set Up menu.
 6. Specify the list which will represent the 'X'-data.  The Xlist should contain the independent variable, the variable which controls the results. (For example, if you are trying to find an equation for the displacement of an object at various times, then time is the independent variable.  If the time data is in list one, then L1 should be the Xlist.) 
 7. Specify the list which will represent the 'Y'-data.  The Ylist should contain the dependent variable, the variable which is controlled by the Xlist values. (For example, if you are trying to find an equation for the displacement of an object at various times, then distance is the dependent variable.  If the distance data is in list two, then L2 should be the Ylist.) 
 8. The Freq setting is used to indicate the frequency with which each data pair occurs.  Because each pair of data points represents a single moment in the experiment, it can occur only once, so the frequency should be left at 1. 
 9. Once you have set up the 2-Var Stats correctly, press [STAT] and choose CALC again to return to the statistical calculations sub-menu.
10. From the calculations sub-menu, choose the appropriate regression for the data set you are analyzing.  If the data is linear, use a linear regression (5:LinReg(ax+b)), if the data is parabolic, use a quadratic regression (6:QuadReg). 
11. In this example, we appear to have a parabolic data set, so we will choose 6:QuadReg
.
12. Choosing the quadratic regression from the calculations sub-menu will cause the QuadReg function to be displayed on the calculator's main screen. 

 

13. Press [ENTER] to perform the quadratic regression on the specified data set.  The standard equation for a parabola and the constants which best fit the selected data set will now be displayed.

 
 
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