http://www.john-weber.com/

HOW TO FIND REGRESSION EQUATIONS WITH TI83 CALCULATOR

Steps Key Sequence Screens
1. Enter independent data into list, L1    
2. Enter dependent data into list, L2    
3. Set up Stats Plotter for scatter plot AND plot the data    
4. Set up the calculation for the regression equation Press STAT
  once
  4 [for LinReg(ax+b)]
NOTE: The other regression equations (i.e., exponential - ExpReg and quadratic - QuadReg) are determined in the same manner.
  press 2nd then 1 (for L1)
  comma
  press 2nd then 2 (for L2)
5. Calculate the regression equation ENTER
6. Store the equation so it can be graphed press Y= and scroll to a location which is blank
  Press VARS
  5 (for Statistics...)
  twice (to EQ)
  1 (to choose RegEQ)
7. Graph press GRAPH
Steps Key Sequence Screens
8. Find the details TRACE and use left and right arrow keys
* P1:L1,L2 means this is Plot1 (scatterplot) with x–values (independent variable) in L1 and y–values (dependent variable) in L2
* Y=15 gives value of y variable when x variable is 526.
  TRACE and use up arrow keys to trace line
* Y1 means the regression line is being traced
* The point (X, Y) is on the regression line where X = 541.33191 and Y=26.16118.
NOTE: To make predictions on the basis of your regression line, use the TRACE function and manually type in the appropriate x–value – the y–value will appear on the bottom right of your screen. If there is an error, then ZOOM Out and try again.