Question

Bighorn sheep are beautiful wild animals found throughout the
western United States. Let *x* be the age of a bighorn sheep
(in years), and let *y* be the mortality rate (percent that
die) for this age group. For example, *x* = 1, *y* =
14 means that 14% of the bighorn sheep between 1 and 2 years old
died. A random sample of Arizona bighorn sheep gave the following
information:

x |
1 | 2 | 3 | 4 | 5 |

y |
15.6 | 17.7 | 14.4 | 19.6 | 20.0 |

Σ*x* = 15; Σ*y* = 87.3; Σ*x*^{2} =
55; Σ*y*^{2} = 1,548.17; Σ*xy* = 272.6

x | = |

y | = |

b |
= |

ŷ | = |

(c) Find the sample correlation coefficient *r* and the
coefficient of determination *r*^{2}. (Round your
answers to three decimal places.)

Answer #1

Bighorn sheep are beautiful wild animals found throughout the
western United States. Let x be the age of a bighorn sheep
(in years), and let y be the mortality rate (percent that
die) for this age group. For example, x = 1, y =
14 means that 14% of the bighorn sheep between 1 and 2 years old
died. A random sample of Arizona bighorn sheep gave the following
information:
x
1
2
3
4
5
y
15.6
18.7
14.4...

Bighorn sheep are beautiful wild animals found throughout the
western United States. Let x be the age of a bighorn sheep
(in years), and let y be the mortality rate (percent that
die) for this age group. For example, x = 1, y =
14 means that 14% of the bighorn sheep between 1 and 2 years old
died. A random sample of Arizona bighorn sheep gave the following
information:
x
1
2
3
4
5
y
16.0
18.7
14.4...

Bighorn sheep are beautiful wild animals found throughout the
western United States. Let x be the age of a bighorn sheep
(in years), and let y be the mortality rate (percent that
die) for this age group. For example, x = 1, y =
14 means that 14% of the bighorn sheep between 1 and 2 years old
died. A random sample of Arizona bighorn sheep gave the following
information:
x
1
2
3
4
5
y
13.0
20.5
14.4...

Do heavier cars really use more gasoline? Suppose a car is
chosen at random. Let x be the weight of the car (in hundreds of
pounds), and let y be the miles per gallon (mpg).
x
27
43
31
47
23
40
34
52
y
30
20
25
13
29
17
21
14
Complete parts (a) through (d), given Σx = 297, Σy = 169, Σx2 =
11,737, Σy2 = 3861, Σxy = 5845, and r ≈ −0.944.
(a) Verify...

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 per capital income in thousands of dollars. Let y be
the number of medical doctors per 10,000 residents. Six small
cities in Oregon gave the following information about x and y. x
8.9 9.5 10.5 8.0 8.3 8.7 y 9.8 18.4 21.8 10.2 11.4 13.1 Complete
parts (a) through (e), given Σx = 53.9, Σy = 84.7, Σx2 = 488.29,
Σy2 = 1315.45, Σxy = 781.11, and r ≈ 0.914. (a) Draw a scatter
diagram displaying the...

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 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 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 Σx = 329,
Σy = 112, Σx2 = 18,263,
Σy2 =...

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 =...

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