Let x be the age in years of a licensed automobiledriver. Let y be the percentage of all fatal accidents(for a given age) due to speeding. For example, the first data pairindicates that 39% of all fatal accidents of 17-year-olds are dueto speeding.

x	17	27	37	47	57	67	77
y	39	25	19	12	10	7	5

Complete parts (a) through (d), given

Σx = 329, Σy = 117,Σx² = 18,263,Σy² = 2825, Σxy =4029, and r ≈ −0.942.

(a) Find x, and y. Then find the equation of the least-squaresline  = a + bx. (Round your answers forx and y to two decimal places. Round your answers for aand b to three decimal places.)

x)	=
y	=
	=	+  x

(b) 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   Â	%
unexplained   Â	%

c) Predict the percentage of all fatal accidents due to speedingfor 35-year-olds. (Round your answer to two decimal places.)
%

(d)Use a calculator to verify that

x = 63,

x² = 1079,

y = 640,

y² = 91,738,

and

xy = 9,677.

Compute r. (Round your answer to three decimalplaces.)

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