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Based on information from the National Center for Health Statistics, the chart below shows he anticipated life expectancy for individuals sorted by the year they
Based on information from the National Center for Health Statistics, the chart below shows he anticipated life expectancy for individuals sorted by the year they were born.
Year of Birth | Life Expectancy |
---|---|
1930 | 59.7 |
1940 | 62.9 |
1950 | 70.2 |
1965 | 69.7 |
1973 | 71.4 |
1982 | 74.5 |
1987 | 75 |
1992 | 75.7 |
In a Microsoft Word document, respond to the following questions. Be certain to include your name, date, and assignment information in your document:
- Decide which variable should be the independent variable and which should be the dependent variable.
- Draw a scatter plot of the ordered pairs.
- Calculate the least squares line. Put the equation in the form of: y = mx +b where m is the slope of the line and b is the y intercept of the line.
- Find the correlation coefficient. Is it significant?
- Find the estimated life expectancy for an individual born in 1950 and for one born in 1982.
- Use the two points in (e) to plot an estimated line on your graph from (b).
- Based on the above data, is there a linear relationship between the year of birth and life expectancy?
- Are there any outliers in the above data?
- Using the least squares line, find the estimated life expectancy for an individual born in 1850
- Does the least squares line give an accurate estimate for that year? Explain why or why not.
- What is the slope of the least squares (best-fit) line? Interpret the slope.
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