Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 16 Feb 2018 My Price 10.00

Wine and cancer in women

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 relative risk of breast cancer. The relative risk is the proportion of those in the study who drank a given amount of wine and who developed Glowimages/AgeFotostock breast cancer divided by the proportion of nondrinkers in the study who developed breast cancer. For example, if 10% of the women in the study who drank 10 grams of wine developed breast cancer and 9% of nondrinkers in the study developed breast cancer, the relative risk of breast cancer for women drinking 10 grams of wine per day would be 10%/9% = 1.11. A relative risk greater than 1 indicates a greater proportion of drinkers in the study developed breast cancer than nondrinkers. Wine intake is the mean wine intake, in grams per day, of all women in the study who drank some wine but less than or equal to 2 drinks per week; who drank between 3 and 6 drinks per week; who drank between 7 and 14 drinks per week; and who drank 15 or more drinks per week. Here are the data (for drinkers only):2

                   

(a) Examine the data. Make a scatterplot with wine intake as the explanatory variable and find the correlation. There is a strong linear relationship.

(b) Explain in words what the slope β of the population regression line would tell us if we knew it (note that these data represent averages over large numbers of women and are an example of an ecological correlation (see page 142), and one must be careful not to interpret the data as applying to individuals). Based on the data, what are the estimates β of and the intercept ∝ of the population regression line?

(c) Calculate by hand the residuals for the four data points. Check that their sum is 0 (up to roundoff error). Use the residuals to estimate the standard deviation σ  that measures variation in the responses (relative risk) about the means given by the population regression line. You have now estimated all three parameters.

 

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Maurice Tutor
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Status NEW Posted 16 Feb 2018 05:02 PM My Price 10.00

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