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Advanced Math Topics 11.1-11.3 The Coefficient Of Correlation.

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Presentation on theme: "Advanced Math Topics 11.1-11.3 The Coefficient Of Correlation."— Presentation transcript:

1 Advanced Math Topics 11.1-11.3 The Coefficient Of Correlation

2 Is there a correlation between the two variables? What would the graph look like? Is this a positive, negative, or no correlation? Age Blood Pressure Weight of a Vehicle Mileage I.Q. Bowling Score Positive Correlation Negative Correlation......... No Correlation

3 The Coefficient of Linear Correlation The result will always be between -1 and +1, inclusive. A value of +1 means perfect positive correlation (all points are on one line). A value of -1 means perfect negative correlation (all points are on one line). A value of 0 means there is no correlation between the two variables.

4 1) Create a scatter plot and find the coefficient of correlation of the following: Math Scores: Business Scores: 52 48 49 49 26 27 28 24 63 59 44 40 70 72 32 31 49 50 51 49 Use graph paper or the lines on your binder paper and a ruler to create an organized scatter plot. Math Scores Business Scores 20 304050607080 30 40 50 60 70 80 20.......... There seems to be a high positive correlation.

5 1) Create a scatter plot and find the coefficient of correlation of the following: Math Scores: Business Scores: 52 48 49 26 27 28 24 63 59 44 40 70 72 32 31 49 50 51 49 464 449 23,396 22,137 22,729 10 r = 0.9867 Round to the nearest ten-thousandth.

6 From the HW: P. 545-546 2) Create a scatter plot and find the coefficient of correlation of the following: Height, x: Shoe size, y: 65 7.5 67 8.5 67 8 71 10 72 11 r = 0.9828

7 HW: P. 545-546 #1-5


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