Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For example, the first data pair states that 5% of all fatal accidents of 37-year-olds are due to failure to yield the right of way.
x | 37 | 47 | 57 | 67 | 77 | 87 |
y | 5 | 8 | 10 | 14 | 33 | 44 |
Complete parts (a) through (e), given Σx = 372, Σy = 114, Σx^{2} = 24814, Σy^{2} = 3410, Σxy = 8438, and r ≈ 0.929.
(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 r^{2}. 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 r^{2} to three decimal places. Round your answers for the percentages to one decimal place.)
r^{2} = | |
explained | % |
unexplained | % |
(f) Predict the percentage of all fatal accidents due to failing to
yield the right of way for 65-year-olds. (Round your answer to two
decimal places.)_____
__________ %
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