Question

Let *x* be the age in years of a licensed automobile
driver. Let *y* be the percentage of all fatal accidents
(for a given age) due to speeding. For example, the first data pair
indicates that 37% of all fatal accidents of 17-year-olds are due
to speeding.

** x** 17 27 37 47 57 67 77

** y** 37 23 18 12 10 7 5

Complete parts (a) through (e), given Σ*x* = 329,
Σ*y* = 112, Σ*x*^{2} = 18,263,
Σ*y*^{2} = 2540, Σ*xy* = 3904, and *r*
≈ −0.940.

(a) Draw a scatter diagram displaying the data.

Submission Data

(b) Verify the given sums Σ*x*, Σ*y*,
Σ*x*^{2}, Σ*y*^{2}, Σ*xy* and
the value of the sample correlation coefficient *r*. (Round
your value for *r* to three decimal places.)

Σ*x* =

Σ*y* =

Σ*x*^{2} =

Σ*y*^{2} =

Σ*xy* =

*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* =

^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
*r*^{2}. 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 *r*^{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 speeding for 25-year-olds. (Round your answer to two decimal places.)

%

Answer #1

Let x be the age in years of a licensed automobile
driver. Let y be the percentage of all fatal accidents
(for a given age) due to speeding. For example, the first data pair
indicates that 39% of all fatal accidents of 17-year-olds are due
to speeding.
x
17
27
37
47
57
67
77
y
39
22
22
12
10
7
5
Complete parts (a) through (e), given
Σx = 329, Σy = 117,
Σx2 = 18,263,
Σy2 =...

Let x be the age in years of a licensed automobile
driver. Let y be the percentage of all fatal accidents
(for a given age) due to speeding. For example, the first data pair
indicates that 34% of all fatal accidents of 17-year-olds are due
to speeding.
x
17
27
37
47
57
67
77
y
34
28
18
12
10
7
5
Complete parts (a) through (e), given
Σx = 329, Σy = 114,
Σx2 = 18,263,
Σy2 =...

Let x be the age in years of a licensed automobile
driver. Let y be the percentage of all fatal accidents
(for a given age) due to speeding. For example, the first data pair
indicates that 34% of all fatal accidents of 17-year-olds are due
to speeding.
Given: Σx = 329, Σy = 114,
Σx2 = 18,263,
Σy2 = 2582, Σxy =
3988, and r ≈ −0.961.
(c) Find x, and y. Then find the equation of
the least-squares line...

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
14
33
46
Complete parts (a) through (e), given Σx =...

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 =...

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
14
27
45
Complete parts (a) through (e), given Σx =...

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
15
31
44
Complete parts (a) through (e), given Σx =...

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
14
33
44
Complete parts (a) through (e), given Σx =...

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
15
31
44
Complete parts (a) through (e), given Σx =...

Let x be the age in years of a licensed automobile
driver. Let y be the percentage of all fatal accidents ( for a
given age) due to speeding. For example, the first data pair
indicates that 36% of all fatal accidents involving 17 year olds
are due to speeding.
X: 17 27. 37. 47. 57. 67. 77
Y: 36. 25. 20. 12. 10. 7. 5.
Find the sample mean for x.(round to the nearest whole number) and
y (...

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