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  3. x 37 47 57 67 77 87 y 5 8 10 14 31 45 comple

x 37 47 57 67 77 87 y 5 8 10 14 31 45 Complete parts, given Σx = 372, Σy = 113, Σx2 = 24814, Σy2 = 3371, Σxy =...

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Statistics

x374757677787
y5810143145

Complete parts, given Σx = 372, Σy = 113,Σx2 = 24814, Σy2 = 3371,Σxy = 8371, and r ≈ 0.926.

a) 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 =


b) 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

c) 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    ___%


d) 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.)
_____ %

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