With a very small sample, a single point can have a large influence on the magnitude of a correlation. For the following data set, X Y 0 1 10 3 4 1 8 2 8 3 Part A. OPTIONAL BUT HELPFUL: Sketch a graph showing the X, Y points. Part B. OPTIONAL BUT HELPFUL: Estimate the value of the Pearson correlation. Part C. Compute the Pearson correlation. Part D. Now we will change the value of one of the points. For the first individual in the sample (X = 0 and Y = 1), change the Y value to Y = 6. What happens to the graph of the X, Y points? What happens to the Pearson correlation? Compute the new correlation. This time just choose the values of the correlation for parts C and D respectively A) (C) .875; (D) .535 B)(C) .875; (D) -.535 C) C) -.875; (D) .535 D) (C) -.875; (D) -.535
With a very small sample, a single point can have a large influence on the magnitude of a
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X |
Y |
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0 |
1 |
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10 |
3 |
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4 |
1 |
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8 |
2 |
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8 |
3 |
Part A. OPTIONAL BUT HELPFUL: Sketch a graph showing the X, Y points.
Part B. OPTIONAL BUT HELPFUL: Estimate the value of the Pearson correlation.
Part C. Compute the Pearson correlation.
Part D. Now we will change the value of one of the points. For the first individual in the sample (X = 0 and Y = 1), change the Y value to Y = 6. What happens to the graph of the X, Y points? What happens to the Pearson correlation? Compute the new correlation.
This time just choose the values of the correlation for parts C and D respectively
A) (C) .875; (D) .535
B)(C) .875; (D) -.535
C) C) -.875; (D) .535
D) (C) -.875; (D) -.535
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