Name: ______Pd: ______
9.1-9.3 Review
1.) Now that cigarette smoking has been clearly tied to lung cancer, researchers are focusing on possible links to other diseases. The data below show annual rates of cigarettes consumption and deaths from coronary heart disease for several nations. Some public health officials are urging that the United States adopt a national goal of cutting cigarette consumption in half.
Country / Cigarette Consumption (per adult per year) / CHD Mortality (Deaths per 100,000) / Country / Cigarette Consumption (per adult per year) / CHD Mortality (Deaths per 100,000)Australia / 3220 / 238 / Italy / 1510 / 114
Austria / 1770 / 182 / Mexico / 1680 / 32
Belgium / 1700 / 118 / Netherlands / 1810 / 125
Canada / 3350 / 212 / New Zealand / 3220 / 212
Denmark / 1500 / 145 / Norway / 1090 / 136
Finland / 2160 / 233 / South Africa / 1350 / 500
France / 1410 / 60 / Spain / 1200 / 44
Germany / 1890 / 150 / Sweden / 1270 / 127
Greece / 1800 / 41 / Switzerland / 2780 / 125
Iceland / 2290 / 111 / United Kingdom / 2790 / 194
Ireland / 2770 / 187 / USA / 3900 / 257
Examine this data.
a.)Create an appropriate graph
b.)Describe the association between cigarette smoking and coronary heart disease
c.)Evaluate the strength and direction of your model.
d.)What is the correlation coefficient?
e.)Create a linear model, draw it on the graph.
f.)Use your model to estimate the potential benefits of reaching the “national goal” proposed for the United States.
g.)Are there any outliers? Are any of those outlier(s) influential points?
2.)The modern Olympic Games, a modified revival of the ancient Greek Olympian Games, were inaugurated in 1896. Since then, the Games have been held nearly every four years at various sites around the world, and have become a major international athletic competition.
Based on the gold medal distances shows, answer the following questions.
Year / Distance (In) / Year / Distance (In)1896 / 249.75 / 1960 / 319.75
1900 / 282.875 / 1964 / 317.75
1904 / 289 / 1968 / 350.5
1908 / 294.5 / 1972 / 324.5
1912 / 299.25 / 1976 / 328.5
1920 / 281.5 / 1980 / 336.25
1924 / 293.125 / 1984 / 336.25
1928 / 304.75 / 1988 / 343.25
1932 / 300.75 / 1992 / 342.5
1936 / 317.3125 / 1996 / 334.65
1948 / 308 / 2000 / 336.6
1952 / 298 / 2004 / 338.2
1956 / 308.25
a.)Create a scatterplot.
b.)Discuss the trend in long jump performances.
c.)Calculate the coefficient correlation.
d.)What is the regression line? Draw the regression line.
e.)Make a prediction of the gold-medal-winning distance in the men’s long jump at the 2008 Games in Beijing. Explain how you found it.
f.)It turns out that Irving Saladino of Panama won the gold in Beijing with a jump of 324.4 inches. How does this compare to your prediction?
g.)What is the residual value of 1956?
3.)What does the following symbols represent?
r = r² =b=a=
4.)How do you know if a graph has no correlation?
5.)How do you know if a graph has a significant correlation?
6.)When making predictions what do you have to check? Once you check it what are your two options to use?
7.)How do you calculate residual values?
8.)How do you know if a data piece is an outlier or an influential point?