Question: 4.35 Thinking about correlation. Exercise 4.27 presents data on wine intake and the relative risk of breast cancer in women. (a) If wine intake is

4.35 Thinking about correlation. Exercise 4.27 presents data on wine intake and the relative risk of breast cancer in women.

(a) If wine intake is measured in ounces of alcohol per day rather than grams per day, how would the correlation change? (There is 0.035 ounce in a gram.)

(b) How would r change if all the relative risks were 0.25 less than the values given in the table? Does the correlation tell us that among women who drink, those who drink more wine tend to have a greater relative risk of cancer than women who don't drink at all?

(c) If drinking an additional gram of alcohol each day raised the relative risk of breast cancer by exactly 0.01, what would be the correlation between alcohol in wine intake and relative risk of breast cancer? (Hint: Draw a scatterplot for several values of alcohol in wine intake.)

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