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 37yearolds are due to failure to yield the right of way.
x 
37 
47 
57 
67 
77 
87 
y 
5 
8 
10 
16 
32 
42 
Complete parts (a) through (e), given Σx = 372, Σy = 113, Σx^{2} = 24814, Σy^{2} = 3233, Σxy = 8321, and r ≈ 0.946.
(a) Draw a scatter diagram displaying the data.
(b) Verify the given sums Σx, Σy, Σx^{2}, Σy^{2}, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
Σx = , Σy = , Σx^{2} = , Σy^{2} = , Σxy = , r =
(c) Find x, and y. Then find the equation of the
leastsquares 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
(d) Graph the leastsquares line. Be sure to plot the point
(x, y) as a point on the line.
(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 leastsquares 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 65yearolds. (Round your answer to two
decimal places.)
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