For all assignments and homework in this course, you must show how you arrived at your answers, show your calculations, to receive full credit.

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

1. For each age group, pick the midpoint of the interval for the x value. (For the 80+ group, use 85.)
2. 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.
3. 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)

1. Pick at least two ages (not specifically listed on the chart) and find the estimated incident of Driver Education Courses offered rates.
2. Use the two points in (d) to plot the least squares line on your graph from (b).
3. Based on the above data, is there a linear relationship between age of a driver and The number of Driver Education Courses offered?
4. What is the slope of the least squares (best-fit) line?

h. What does the slope mean?