7-2 Correlation Coefficient Objectives Determine and interpret the correlation coefficient.

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Presentation transcript:

7-2 Correlation Coefficient Objectives Determine and interpret the correlation coefficient.

Correlation Coefficient - Facts Correlation coefficient is always between -1 and +1. –Weak correlation is closer to zero and strong correlation is closer to either -1 or +1. Ex. r = 0.21 or (weak), r = or 0.98(strong). –If correlation is equal to exactly -1 or +1 then the data points all fall on an exact straight line.

r = +.3r = +1 Examples of Approximate r Values y x y x y x y x y x r = -1 r = -.6r = 0

r =1 1. Estimate the correlation coefficient (r-value).

2. Estimate the correlation coefficient (r-value). r =-1

3. Estimate the correlation coefficient (r-value).

r = 0.95

4. Estimate the correlation coefficient (r-value). r =-0.95

5. Estimate the correlation coefficient (r-value).

r = 0.6

6. Estimate the correlation coefficient (r-value). r = -0.6

Correlation Coefficient 7. Estimate the correlation coefficient (r-value). r = 0.9

Correlation Coefficient 7. Estimate the correlation coefficient (r-value).

Correlation Coefficient 8. Estimate the correlation coefficient (r-value).

Correlation Coefficient 8. Estimate the correlation coefficient (r-value). r = 0.4

Correlation Coefficient 9. Estimate the correlation coefficient (r-value).

Correlation Coefficient 9. Estimate the correlation coefficient (r-value). r = 0

10. a)draw a scatter plot of the data b) draw in the best fit line X Y

10. a)draw a scatter plot of the data b) draw in the best fit line X Y

10. c) find the equation of your best fit line Y-intercept Slope

10. d) estimate y when x = About 40

11. Find the correlation Coefficient X Y

Classwork/Homework 7-2 Worksheet