Let x be the age of a licensed driver in years. Lety be the percentage of all fatal accidents (for a givenage) due to failure to yield the right of way. For example, thefirst data pair states that 5% of all fatal accidents of37-year-olds are due to failure to yield the right of way.
Complete parts (a) through (e), given Σx = 372,Σy = 112, Σx2 = 24814,Σy2 = 3118, Σxy = 8224, and r≈ 0.955.
(b) Verify the given sums Σx, Σy,Σx2, Σy2, Σxy, andthe value of the sample correlation coefficient r. (Roundyour value for r to three decimal places.)
Σx = | |
Σy = | |
Σx2 = | |
Σy2 = | |
Σxy = | |
r = | |
(c) Find x, and y. Then find the equation of theleast-squares line  = a + bx. (Roundyour answers for x and y to two decimal places.Round your answers for a and b to three decimalplaces.)
(d) Graph the least-squares line. Be sure to plot the point(x, y) as a point on the line.
(e) Find the value of the coefficient of determinationr2. What percentage of the variation iny can be explained by the corresponding variationin x and the least-squares line? What percentage isunexplained? (Round your answer for r2to three decimal places. Round your answers for the percentages toone decimal place.)
r2 = | |
explained    | % |
unexplained    | % |
(f) Predict the percentage of all fatal accidents due to failing toyield the right of way for 70-year-olds. (Round your answer to twodecimal places.)
%