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Finding the Line of Best Fit Using the TI-86: A Step-by-Step Guide, Lecture notes of Linear Algebra

Instructions on how to use a ti-86 calculator to find the equation of the line of best fit for a given set of data, draw the scatter diagram, and graph the line of best fit on it. Detailed steps for entering the data, setting the viewing window, calculating the line of best fit, and drawing it on the scatter diagram.

Typology: Lecture notes

2021/2022

Uploaded on 09/12/2022

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V. Zabrocki - 1
08/26/2002
Finding the Line of Best Fit Using the TI-86
Objective: To draw the scatter diagram for the given data, find the equation of the line of
best fit and graph the line of best fit on the scatter diagram.
x 3 5 7 9 11 13 Data
y 0 2 3 6 9 11
(Clear all previously saved functions)
To enter the data:
2nd STAT
F2: Edit
To clear previous entries, highlight the column header xStat then clear then enter.
Do the same with the yStat column.
Key in values for x in the xStat column. When you hit enter the cursor moves to the
next x value.
Key in values for y in the yStat column.
The fStat column should contain an entry of 1 for each (x, y) value. Delete any extra
1’s by highlighting them and then Del
Exit
To create the scatter diagram:
To graph scatter diagram:
2nd STAT
F3: PLOT
F1: PLOT 1 This will set-up the type of graph.
Highlight ON then Enter
Type: F1: SCAT
xlist Name = xStat
ylist Name = yStat
Mark: F1 will select the box as a marker. Choose F2 or F3 for other markers.
Exit
Be sure the other plots are OFF. If they’re not, select them by using F2 or F3 and
highlight OFF and then Enter
Exit
2nd STAT
F4: Draw
CLEAR (removes the menu bars so the whole graph is visible)
Exit (brings back menu)
pf2

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V. Zabrocki - 1 08/26/

Finding the Line of Best Fit Using the TI-

Objective: To draw the scatter diagram for the given data, find the equation of the line of best fit and graph the line of best fit on the scatter diagram.

Data x 3 5 7 9 11 13 y 0 2 3 6 9 11

(Clear all previously saved functions)

To enter the data:

2 nd^ STAT F2: Edit

To clear previous entries, highlight the column header xStat then clear then enter. Do the same with the yStat column. Key in values for x in the xStat column. When you hit enter the cursor moves to the next x value. Key in values for y in the yStat column. The fStat column should contain an entry of 1 for each (x, y) value. Delete any extra 1’s by highlighting them and then Del

Exit

To create the scatter diagram:

To graph scatter diagram:

2 nd^ STAT F3: PLOT F1: PLOT 1 This will set-up the type of graph. Highlight ON then Enter Type: F1: SCAT xlist Name = xStat ylist Name = yStat Mark: F1 will select the box as a marker. Choose F2 or F3 for other markers. Exit Be sure the other plots are OFF. If they’re not, select them by using F2 or F3 and highlight OFF and then Enter Exit

2 nd^ STAT F4: Draw CLEAR (removes the menu bars so the whole graph is visible) Exit (brings back menu)

V. Zabrocki - 2 08/26/

Set the Viewing Window:

Manually Graph F2: Wind x = [-5, 30] Pick values that include all of the points in the problem. xscl = 1 y = [-5, 30] yscl = 1 .

Using the Zoom Function Graph F3: Zoom More F5: ZData Calculator will set the viewing window so all data points are displayed.

To Calculate the Line of Best Fit

Exit back to the home screen 2 nd^ STAT F1: Calc F3: LinR (linear regression) Enter a = -3. b = 1. corr =.

The calculator gives the linear equation in a + bx form. So the equation of the line of best fit is:

y1 = -3.86190 + 1.12857x

which we are more accustomed to writing in slope intercept form as

y1 = 1.12857x - 3.

This tells us the slope of the line is 1.12857 and the y-intercept is -3.86190.

The corr value tells how closely the line fits the data. The closer the number is to 1, the closer the data fits the equation. In this case, it’s a very good fit.

To Draw the Line of Best Fit on the Scatter Diagram:

Exit F4: Draw MORE F1: DRREG (Draw Regression)