An actuary thinks there is a linear relationship between age and driving tickets in a five-year span. The following table contains data from a sample of 12 persons. Use this data to answer questions 4-6.

Age (x)

1. 28
2. 57
3. 29
4. 59
5. 54
6. 29
7. 20
8. 33
9. 40
10. 39

Tickets (y)

1. 3
2. 1
3. 2
4. 2
5. 2
6. 3
7. 4
8. 4
9. 5
10. 3

1. Calculate and Interpret the pearson’s correlation coefficient between the variables X and Y, , and the coefficient of determination between the variables X and Y, . (20%)

2. Determine the coefficients of the least squares regression line for the following model between age and tickets in a 5-yr span: (20%)

Use the least-squares regression line to predict the expected number of tickets in 5-yr span for a person who is 30 years old, . Note:

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