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

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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 687 744 828 8810 9311 999 10113

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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.

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

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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 687 744 828 8810 9311 999 10113

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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 687 744 828 8810 9311 999 10113

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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.

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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 682 286 1543 974 1258 590 878

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AbsencesFinal Grade 682 286 1543 974 1258 590 878

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Correlation Coefficient: -.944 Equation: y = -3.62x + 102.5

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Equation: y = -3.62x + 102.5 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 682 286 1543 974 1258 590 878

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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.

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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)

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

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