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Regression Modeling on the TI-84 Plus

You can use the TI-84 Plus for regression modeling, which is the process of finding a function that approximates the relationship between the two variables in two data lists. Following are the types of regression models the TI-84 Plus calculator can compute.

Types of Regression Models
TI-Command Model Type Equation
Med-Med Median-median y = ax + b
LinReg(ax+b) Linear y = ax + b
QuadReg Quadratic y = ax2 + bx + c
CubicReg Cubic y = ax3 + bx2 + cx + d
QuartReg Quartic y = ax4 + bx3 + cx2 + dx + e
LinReg(a+bx) Linear y = a + bx
LNReg Logarithmic y = a + b*ln(x)
ExpReg Exponential y = abx
PwrReg Power y = axb
Logistic Logistic y = c/(1 + a*e-bx)
SinReg Sinusoidal y = a*sin(bx + c) + d

To compute a regression model for your two-variable data, follow these steps:

  1. If necessary, turn on Diagnostics.

    When the Diagnostics command is turned on, the calculator displays the correlation coefficient (r) and the coefficient of determination (r2 or R2) for appropriate regression models. By default, this command is turned off. After you turn this command on, it stays on until you turn it off. Here’s how to turn on Diagnostics:

    1. Press [2nd][0][x–1] to access the Catalog menu and to advance the Catalog to the entries beginning with the letter D.

    2. Repeatedly press

      image0.png

      to advance the Catalog indicator to the DiagnosticOn command.

    3. Press [ENTER] to paste this command on the Home screen, and press [ENTER] again to execute this command.

  2. If necessary, put the calculator in Function (Func) mode.

    If the regression model is a function that you want to graph, you must first put the calculator in Function mode.

  3. If you haven’t already done so, graph your two-variable data in a scatter plot or an xy-line plot.

  4. Select a regression model from the Stat Calculate menu.

    To do so, press

    image1.png

    to access the Stat Calculate menu. Repeatedly press

    image2.png

    until the number or letter of the desired regression model is highlighted, and press [ENTER] to select that model.

  5. Enter the name for the Xlist data, press [,], and then enter the name of the Ylist data.

  6. If necessary, enter the name of the frequency list.

  7. Press [,] and enter the name of the function (Y1, ... , Y9, or Y0) in which the regression model is to be stored.

    To enter a function name, press

    image3.png

    and then enter the number of the function.

  8. Press [ENTER] to calculate and view the equation of the regression model.

    The equation of the regression model is automatically stored in the Y= editor under the name you entered in Step 7.

  9. Press [GRAPH] to see the graph of your data and regression model.

    image4.jpg
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