Based on information from the National Center for Health Statistics, the chart below shows he anticipated life
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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 were born.
- 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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