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...


Letx be the age of a licensed driver in years. Lety 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

374757677787


y

5810152744


Complete parts (a) through (e), given Σx = 372, Σy = 109, Σx
2 = 24814, Σy
2 = 3079, Σxy = 8043, andr ≈ 0.927.


(a) Draw a scatter diagram displaying the data.



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(b) Verify the given sums Σx, Σy, Σx
2, Σy
2, Σxy, and the value of the sample correlation coefficientr. (Round your value forr to three decimal places.)



























Σx =
Σy =
Σx
2 =
Σy
2 =
Σxy =

r =


(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 fora andb to three decimal places.)
















x=
y=
=+x


(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 determinationr
2. What percentage of the variation iny can beexplained by the corresponding variation inx and the least-squares line? What percentage isunexplained? (Round your answer forr
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 75-year-olds. (Round your answer to two decimal places.)
Jun 02, 2022
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