Question: 4.13 Changing the Correlation. Use your calculator, software, or the Two- Variable Statistical Calculator applet to demonstrate how outliers can affect correlation. (a) What is
4.13 Changing the Correlation. Use your calculator, software, or the Two- Variable Statistical Calculator applet to demonstrate how outliers can affect correlation.
(a) What is the correlation between homicide rate and suicide rate for the 26 counties in Exercise 4.4? DEATH
(b) Make a scatterplot of the data with one new point added. Point A: homicide rate 30, suicide rate 30. Find the new correlation for the original data plus Point A.
(c) Make a scatterplot of the data with a different new point added. Point B: homicide rate 10, suicide rate 5.5. Find the new correlation for the original data plus Point B. DEATH3
(d) By looking at your plot, explain why adding Point A makes the correlation stronger (closer to 1) and adding Point B makes the correlation weaker (closer to 0).
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