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How to use the ti-83 calculator to perform linear regression analysis and create a scatter plot for a given dataset. It covers entering data, accessing the linear regression option, calculating correlation coefficients and the coefficient of determination, graphing the linear equation, and editing data in the list editor.
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Typology: Exercises
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The linear regression option finds the equation of a linear equation of the form y = ax + b or y = a + bx that best fits a set of data.
First, enter the data. Press.
Press and use to select CALC. Press This yields an equation of the form y = ax + b.
The linear regression option can also be obtained by pressing. This yields an equation of the form y = a + bx.
The resulting equations are equivalent, y = 0.24x + 1.14 and y = 1.14 + 0.24x. The TI-83 calculates the correlation coefficient, r. In this case, r is about 0.91. The value of r lies between -1 and 1, inclusive. It is a measure of how well the regression equation fits the data. A value of -1 or 1 indicates a perfect fit. It also calculates the value of the coefficient of determination, r^2.
The TI-83 stores the regression equation. The equation can be graphed and is transfered to without typing the equation
as follows. Press and use to select EQ.
Press. The equation is now entered in. Press. The data points can also be viewed. Access STAT
PLOTS by pressing. To turn the plots on press.
Note: The resulting linear equation is an exact fit if two nonvertical data points are entered.
The TI-83 calculates the correlation coefficient r and the value of r^2 , the coefficient of determination.
While viewing a data set from the data editor, press to access the zoom menu. Press to access 9:ZoomStat. The window is automatically adjusted to the data.
Note If the plot shows the graph of an unwanted function, go to the equation editor ( Y= ) and deselect the unwanted function by
placing the cursor over the highlighted = for that function, then press. Press the thumb pad down arrow and notice that
the = is no longer highlighted. Press to view the new graph without the unwanted function.