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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
- 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 |
- 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 |
- Write down the least-squares regression line.
- Interpret the slope of the least-squares regression line.
- 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.
- How much of the variation in the heart disease death rate can be explained by wine consumption?
- Suggest some differences among nations that may be confounded with wine-drinking habits.
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