Let x be the age in year
Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 37% of all fatal accidents of 17-year-olds are due to speeding.
| x | 17 | 27 | 37 | 47 | 57 | 67 | 77 |
| y | 37 | 28 | 19 | 12 | 10 | 7 | 5 |
Complete parts (a) through (e), given
(c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)
| x | = | |
| y | = | |
| = | + x |
(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)
| r2 = | |
| explained | % |
| unexplained | % |
(f) Predict the percentage of all fatal accidents due to speeding for 30-year-olds. (Round your answer to two decimal places.)
%
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