(a) Draw a scatter diagram displaying the data.
Flash Player version 10 or higher is required for this question.
You can get Flash Player free from Adobe's website.
(b) Verify the given sums Σ
x, Σ
y, Σ
x2, Σ
y2, Σ
xy, 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 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.)
(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.)
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.)