Help!!(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?A) There would be a poor quality, negative linear relationship.B) None of the options are correct.C) There would be a perfect, positive linear relationship.D) There would be a perfect, positive nonlinear relationship. Some studies have suggested that a nightly glass of wine may not only take the edge off a day but also improve health. Iswine good for your health? A study of nearly 1.3 million middle-aged British women examined wine consumption andthe risk of breast cancer. The researchers were interested in how risk changed as wine consumption increased. Risk isbased on breast cancer rates in drinkers relative to breast cancer rates in nondrinkers in the study, with higher valuesindicating greater risk. In particular, a value greater than 1 indicates a greater breast cancer rate than that of nondrinkers.Wine intake is the mean wine intake, in grams of alcohol per day (one glass of wine is approximately 10 grams ofalcohol), of all women in the study who drank the same amount of wine per week. The table contains data for drinkersonly and presents data on wine intake and the relative risk of breast cancer in women.Wine intake x (grams of alcohol per2.5 8.5 15.5 26.5day)Relative risk y1.00 1.08 1.15 1.22The correlation r between wine intake and relative risk is 0.9851. (a) If wine intake is measured in ounces of alcohol per day rather than grams per day, how would thecorrelation change? (There is 0.035 ounce per gram.)The correlation would drastically change, as it greatly depends on the units.The correlation would not change, even though correlation depends on units.None of the options are correct.The correlation would not change, as correlation does not depend on units.(b) How would r change if all the relative risks were 0.25 less than the values given in the table? Does the correlationtell us that among women who drink, those who drink more wine tend to have a greater relative risk of cancer thanwomen who do not drink at all?The correlation would not change and the strength and direction of the linear relationship between risk and wineintake would not change.None of the options are correct.The correlation would change and the strength and direction of the linear relationship between risk and wine intakewould change dramatically.The correlation would not change and the strength and direction of the quadratic relationship between risk and wineintake would not change.

Answered: Some studies have suggested that a…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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Help!!

(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?

A) There would be a poor quality, negative linear relationship.

B) None of the options are correct.

C) There would be a perfect, positive linear relationship.

D) There would be a perfect, positive nonlinear relationship.

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 particular, a value greater than 1 indicates a greater breast cancer rate than that of nondrinkers.
Wine intake is the mean wine intake, in grams of alcohol per day (one glass of wine is approximately 10 grams of
alcohol), of all women in the study who drank the same amount of wine per week. The table contains data for drinkers
only and presents data on wine intake and the relative risk of breast cancer in women.
Wine intake x (grams of alcohol per
2.5 8.5 15.5 26.5
day)
Relative risk y
1.00 1.08 1.15 1.22
The correlation r between wine intake and relative risk is 0.9851.

(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 per gram.)
The correlation would drastically change, as it greatly depends on the units.
The correlation would not change, even though correlation depends on units.
None of the options are correct.
The correlation would not change, as correlation does not depend on units.
(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 do not drink at all?
The correlation would not change and the strength and direction of the linear relationship between risk and wine
intake would not change.
None of the options are correct.
The correlation would change and the strength and direction of the linear relationship between risk and wine intake
would change dramatically.
The correlation would not change and the strength and direction of the quadratic relationship between risk and wine
intake would not change.

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It is given that the correlation coefficient, r between mean amount of alcohol intake per day, and the relative risk of developing breast cancer is 0.985.

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