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 1.31.3 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 particular, a value greater than 11 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 the same amount of wine per week. The given table contains data for drinkers only. Wine intake ?x (grams per day) 2.52.5 8.58.5 15.515.5 26.526.5 Relative risk ?y 1.001.00 1.081.08 1.151.15 1.221.22 (a) Based on the scatterplot, do you expect the correlation to be positive or negative? Near ±1 or not? Select the statement that correctly answers these questions. The correlation should be negative and near 0. The correlation should be positive and near 1. The correlation should be positive and near 0. The correlation should be negative and near −1. (b) Find the correlation ?r between wine intake and relative risk. (Enter your answer rounded to three decimal places.) r= Do the data show that women who consume more wine tend to have higher relative risks of breast cancer? Select an answer choice. yes no

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 1.31.3 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 particular, a value greater than 11 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 the same amount of wine per week. The given table contains data for drinkers only.

Wine intake ?x (grams per day)	2.52.5	8.58.5	15.515.5	26.526.5
Relative risk ?y	1.001.00	1.081.08	1.151.15	1.221.22

(a) Based on the scatterplot, do you expect the correlation to be positive or negative? Near ±1 or not? Select the statement that correctly answers these questions.

The correlation should be negative and near 0.

The correlation should be positive and near 1.

The correlation should be positive and near 0.

The correlation should be negative and near −1.

(b) Find the correlation ?r between wine intake and relative risk. (Enter your answer rounded to three decimal places.)

Do the data show that women who consume more wine tend to have higher relative risks of breast cancer? Select an answer choice.

yes

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