TI 89 > How to find linear regression on ti-89

**Contents**:

- TI-89 Regression (Linear).
- TI-89 Regression (Trigonometric).
- TI-89 Regression (Exponential) (
*Opens in new window*). - Quadratic Regression (
*Opens in new window*).

## 1. How to find linear regression on TI-89: Steps

**Example problem**: Find a linear regression equation (of the form y = ax + b) for x-values of 1, 2, 3, 4, 5 and y-values of 12.5, 9, 6.3, 3, and 1.

**Step 1:** Press APPS then go to the **Data/Matrix Editor** screen using the arrow keys, then press ENTER.

**Step 2:** Scroll down to **3: New** using the down arrow key. Press ENTER.

**Step 3:** Press the down arrow to scroll to the **Variable** box. Enter a name (for example, call it LINEAR) by pressing the ALPHA key and using the alphanumeric keypad (the white letters to the top right of every key on the lower half of the calculator).

**Step 4:** Press ENTER twice.

**Step 5:** Fill your x-values in the first column (c1):

- Press 1, then ENTER.
- Press 2, then ENTER.
- Press 3, then ENTER.
- Press 4, then ENTER.
- Press 5, then ENTER.

**Step 6:** Scroll to the beginning of the second column by pressing the right and up arrow keys. Enter your y-values in the second column. Press ENTER after you enter each y-value.

- Press 12.5, then ENTER.
- Press 9, then ENTER.
- Press 6.3, then ENTER.
- Press 3, then ENTER.
- Press 1, then ENTER.

**Step 7:** Press F5. The calculator’s cursor will flash on **Calculation Type**. Press the right arrow key to bring up a scroll down menu. Use the down arrow key to select **5: LinReg**. Press ENTER.

**Step 8:** Press the down arrow key to the next row (x). Enter c1 using the alphanumeric keypad (the ALPHA button then a close parenthesis ), then 1). This tells the calculator where your x-variables are.

**Step 9:** Press the down arrow key to the next row (y). Enter ALPHA ) 2: this puts c2 into the space. Press ENTER twice. The calculator returns the value of a and b for you to enter into the equation y’=ax+b (in our equation, a = -2.9 and b = 15.06).

**Step 10:** Insert the calculator’s result into the equation y’ = ax+b: **y’ = -2.9x+15.06**

That’s How to find Linear Regression on TI-89!

## 2. TI-89 Regression (Trigonometric).

Trigonometric regression is performed when a scatter plot of data suggests a trigonometric function, or wave like appearance. If you view a scatter plot on the TI-89, you’ll discover that the dots travel in **waves**. You could probably also guess that your data is trigonometric by looking at the up and down pattern of the y-values (for example, 18 to 17 and back to 18 again). While a scatter plot can give you an idea of the function’s behavior, it isn’t very good for predictions, unless you throw in a bit of guesswork. The most accurate way to make predictions about a data’s future behavior is to find an equation that best fits the data. If your data seems to fit a wave, then your best fit equation is likely achieved with trigonometic regression.

## 3. Trigonometric Regression on the TI-89: Steps

**Example Problem**: Find the trigonometric regression equation for the following data set:

- x: 1, 2, 3, 4, 5, 6, 7, 8, 9,
- y: 18.4, 18.1, 17.8, 17.7, 17.8, 18.1, 18.5, 19.0, 19.3

Before beginning, make sure your data is typed into a list. You must have the Stats/List Editor installed on your calculator.

Step 1: **Press APPS ** and then use the cursor keys to scroll to the Data/Matrix Editor. Press ENTER.

Step 2: **Select 1 for Current.**

Step 3: **Press F5 for Calc.** A new screen will appear.

Step 4: **Type your x-values into column c1 and your y-values into column c2.**

Step 5: **Move your cursor to the Calculation Type box**, press the right-cursor key and select B:SinReg.

Step 6: **Type the location of your x-data **into the “x” box. For example, if your x-values are in list c1 then type “c1.”

Step 7: **Type the location of your y-data** into the “y” box. For example, if your y-values are in list c2 then type “c2.”

Step 8: **Move the cursor to the Store ReqEQ **line and then press the right cursor key. Move the cursor to y1(x) and then press ENTER. A window will pop up with the a and b for the trigonometric regression equation y = ab^{x}. The trigonometric regression equation will also appear in the y1= line of the Y= screen. This particular regression equation is .93781sin(.46732)*x+2.88273+18.63905.

## References

Deviant, S. (2009). The Practically Cheating Statistics Handbook TI-89 Companion Guide.