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Linear Correlation and Regression Using the TI-83 or TI-84.

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Presentation on theme: "Linear Correlation and Regression Using the TI-83 or TI-84."— Presentation transcript:

1 Linear Correlation and Regression Using the TI-83 or TI-84

2 Finding “r” and the trend line equation by using the calculator…… Before we begin, make sure that your diagnostic is turned on: Press 2 nd 0 Scroll down to diagnostic on Press Enter twice Temp.Emergency Calls

3 Calculator Steps: Put x’s in L1 and y’s in L2. Press Stat Calc 4:LinReg Vars Y-Vars 1:Function Enter Enter You should see all data.

4 Correlation Coefficient “r” is equal to.811. The trend line equation is y =.19x – 7.54

5 In the equation y =.19x – 7.54 a. Explain the meaning of the y- intercept. b. Explain the meaning of the slope. Temp.Emergency Calls

6 Equation: y =.19x – 7.54 A. The number of emergency phone calls when the temp is 0. B. The number of emergency phone calls increases.19 for every degree increase in temperature. (The # of calls/degree temp increase) Temp.Emergency Calls

7 You can also graph it…… The equation for the trend line is now in “y =“. Press zoom 9 to see the scatter plot and the trend line.

8 You try…… Find: a. Correlation coefficient b.Trend line equation Graph on graphing calculator. Explain the meaning of the y-int and the slope. AbsencesFinal Grade

9 AbsencesFinal Grade

10 Correlation Coefficient: Equation: y = -3.62x

11 Equation: y = -3.62x Meaning of Y- Intercept: The final grade when a student has 0 absences. (102.5) Meaning of slope: Final grade/absence – the grade decreases (3.62) for every absence made AbsencesFinal Grade

12 Example…… Max used linear regression to help him understand the relationship between the temp and the number of ice cream cones sold. The line of best fit was y = 5x + 60, where x is the # of ice cream cones sold and y is the temp in degrees F. In terms of ice cream cones sold and temp answer the following.

13 Equation: y = 5x + 60 Explain the meaning of the y-intercept: The temperature (60 degree F) when no ice cream cones are sold. Explain the meaning of the slope: The temperature increases 5 degrees F for every ice cream cone sold. (Temp/# sold)

14 Assignment…… Use ONLY the TI-83 or TI-84 to find the values on the HW assignment.


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