Wine intake x 2.5 8.5 15.5 26.5 (grams per day) Relative risk y 1.00 1.08 1.15 1.22 (a) Make a scatterplot of these data. Based on the scatter- plot, do you expect the correlation to be positive or negative? Near ±1 or not? (b) Find the correlation r between wine intake and relative risk. Do the data show that women who consume more wine tend to have higher relative risks of breast cancer? 00

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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approximately the same amount of wine per week. Here are
the data (for drinkers only):"
CANCER
Wine intake x
2.5
8.5
15.5
26.5
(grams per day)
Relative risk y
1.00
1.08
1.15
1.22
(a) Make a scatterplot of these data. Based on the scatter-
plot, do you expect the correlation to be positive or negative?
Near ±1 or not?
(b) Find the correlation r between wine intake and relative
risk. Do the data show that women who consume more wine
tend to have higher relative risks of breast cancer?
Wine and cancer in women. Some studies have
suggested that a nightly glass of wine may not only take the
edge off a day but also improve health. Is wine good for your
health? A study of nearly 1.3 million middle-aged British
women examined wine consumption and the risk of breast
cancer. The researchers were interested in how risk changed
as wine consumption increased. Risk is based on breast cancer
rates in drinkers relative to breast cancer rates in nondrinkers
in the study, with higher values indicating greater risk. In par-
ticular, a value greater than 1 indicates a greater breast cancer
rate than that of nondrinkers. Wine intake is the mean wine
intake, in grams per day, of all women in the study who drank
Transcribed Image Text:approximately the same amount of wine per week. Here are the data (for drinkers only):" CANCER Wine intake x 2.5 8.5 15.5 26.5 (grams per day) Relative risk y 1.00 1.08 1.15 1.22 (a) Make a scatterplot of these data. Based on the scatter- plot, do you expect the correlation to be positive or negative? Near ±1 or not? (b) Find the correlation r between wine intake and relative risk. Do the data show that women who consume more wine tend to have higher relative risks of breast cancer? Wine and cancer in women. Some studies have suggested that a nightly glass of wine may not only take the edge off a day but also improve health. Is wine good for your health? A study of nearly 1.3 million middle-aged British women examined wine consumption and the risk of breast cancer. The researchers were interested in how risk changed as wine consumption increased. Risk is based on breast cancer rates in drinkers relative to breast cancer rates in nondrinkers in the study, with higher values indicating greater risk. In par- ticular, a value greater than 1 indicates a greater breast cancer rate than that of nondrinkers. Wine intake is the mean wine intake, in grams per day, of all women in the study who drank
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