Question

# Let x be the age of a licensed driver in years. Let y be the percentage...

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 37-year-olds 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, Σx2 = 24814, Σy2 = 3233, Σxy = 8321, and r ≈ 0.946.

(a) Draw a scatter diagram displaying the data.

(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

Σx =     ,       Σy =     ,     Σx2 =    ,     Σy2 =     ,      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 for a and b 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 determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)

 r2 = explained % unexplained %

(f) Predict the percentage of all fatal accidents due to failing to yield the right of way for 65-year-olds. (Round your answer to two decimal places.)    #### Earn Coins

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