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In 2005, a large metropolitan area of the United States allowed some drivers involved in minor accidents to take Driver Education Courses in lieu of
In 2005, a large metropolitan area of the United States allowed some drivers involved in minor accidents to take Driver Education Courses in lieu of receiving traffic citations. A table recording the number of drivers, sorted by the age of the driver, who accepted this offer, is as follows:
Age | Number of Driver Education Courses per 100,000 |
---|---|
15-24 | 28 |
25-39 | 15 |
40-69 | 10 |
70-79 | 15 |
80+ | 25 |
- For each age group, pick the midpoint of the interval for the x value. (For the 80+ group, use 85.)
- Using ages as the independent variable and Number of Driver Education Courses per 100,000 as the dependent variable, make a scatter plot of the data.
- Calculate the least squares (best-fit) line. Put the equation in the form of: y = mx + b
HINT: to estimate the line, choose any two points in the chart, find the slope. (m = Rise / Run) and then the y intercept (by making y = 0 and solving for b).
- Pick at least two ages (not specifically listed on the chart) and find the estimated incident of Driver Education Courses offered rates.
- Use the two points in (d) to plot the least squares line on your graph from (b).
- Based on the above data, is there a linear relationship between age of a driver and The number of Driver Education Courses offered?
- What is the slope of the least squares (best-fit) line?
- What does the slope mean?
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