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Is wine good for your heart? The table below gives data on yearly wine consumption (litres of alcohol from drinking wine, per person) and yearly

  1. Is wine good for your heart? The table below gives data on yearly wine consumption (litres of alcohol from drinking wine, per person) and yearly deaths from heart disease (deaths per 100,000 people) in19 developed countries in 2001.
Country Alcohol from Wine Heart Disease Rate Country Alcohol from Wine Heart Disease Rate
Australia 3.25 80 Italy 7.5 60
Austria 4.75 100 Netherlands 2.75 70
Belgium 2.75 60 New Zealand 2.5 100
Canada 1.5 80 Norway 1.75 80
Denmark 4.5 90 Spain 5 50
Finland 3 120 Sweden 2.5 90
France 8.5 40 Switzerland 6 70
Germany 3.75 90 United Kingdom 2.75 120
Iceland 1.25 110 United States 1.25 120
Ireland 2 130

  1. A study showed that drinking moderate amounts of wine may help prevent heart attacks. The regression results are given below:

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.645
R Square 0.416
Adjusted R Square 0.382
Standard Error 20.108
Observations 19.000
ANOVA
df SS MS F Significance F
Regression 1.000 4894.503 4894.503 12.105 0.003
Residual 17.000 6873.918 404.348
Total 18.000 11768.421
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 115.861 9.399 12.327 0.000 96.030 135.691 96.030 135.691
Alcohol from Wine -8.050 2.314 -3.479 0.003 -12.931 -3.168 -12.931 -3.168

  1. Write down the least-squares regression line.
  2. Interpret the slope of the least-squares regression line.
  3. Could we use the least-squares regression line to predict the heart disease death rate for a country where wine consumption is 150 litres of alcohol per person? Explain.
  4. How much of the variation in the heart disease death rate can be explained by wine consumption?
  5. Suggest some differences among nations that may be confounded with wine-drinking habits.

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