Question

Suppose x represents the size of the caribou population (in hundreds) and y represents the size of the wolf population in Denali National Park.

x 30 34 27 25 17 23 20

y 66 79 70 60 48 55 60

a) Given that x ̄ = 25.1429, y ̄ = 62.5714, sx = 5.8146, sy = 10.1630, and r = .9150, find the least squares regression line, yˆ = b1x + b0.

Round each number to 4 decimal place

Predict what the population of wolves would be if the population of caribou is 19 (in hundreds). Round to the nearest whole number.

Is it acceptable to use yˆ to predict how many wolves would be in Denali if the number of caribou is 150? (Yes or No) Why or why not?

Answer #1

from above

a)

y^ =22.3606+1.5993*x

b)

predicted val=22.3606+1.5993*19= | 53 |

c)

No since 150 falls outside the range of x values therefore it is not acceptable to predict y^ on basis of above regression equation,

Fill in the missing information in the table below.
overbar x
sx
overbar y
sy
r
y with caret = b0 + b1x
a)
50
4.3
2626
8.4
0.1
b)
20
3
1818
7.8
−0.8
c)
36
2.7
−0.1
y with caret =205−4x
d)
20.9
2
47.9
y with caret =−224+18x
Fill in the missing information.
overbar x
sx
overbar y
sy
r
y with carrot =b0+b1x
a)
50
4.3
26
8.4
0.1
y with carrot = (blank) + (blank)x...

An accountant wishes to predict direct labor cost (y)
on the basis of the batch size (x) of a product produced
in a job shop. Data for 12 production runs are given in the table
below, along with the Excel output from fitting a least squares
regression line to the data.
Direct Labor Cost Data
Direct Labor
Cost, y ($100s)
Batch
Size, x
71
5
663
62
381
35
138
12
861
83
145
14
493
46
548
52
251...

Let x be a random variable that represents the weights
in kilograms (kg) of healthy adult female deer (does) in December
in a national park. Then x has a distribution that is
approximately normal with mean μ = 69.0 kg and standard
deviation σ = 9.0 kg. Suppose a doe that weighs less than
60 kg is considered undernourished.
(a) What is the probability that a single doe captured (weighed
and released) at random in December is undernourished? (Round your...

Let x be a random variable that represents the weights in
kilograms (kg) of healthy adult female deer (does) in December in a
national park. Then x has a distribution that is approximately
normal with mean μ = 70.0 kg and standard deviation σ = 8.0 kg.
Suppose a doe that weighs less than 61 kg is considered
undernourished. (a) What is the probability that a single doe
captured (weighed and released) at random in December is
undernourished? (Round your...

Let x be a random variable that represents the weights
in kilograms (kg) of healthy adult female deer (does) in December
in a national park. Then x has a distribution that is
approximately normal with mean μ = 67.0 kg and standard
deviation σ = 8.0 kg. Suppose a doe that weighs less than
58 kg is considered undernourished.
(a) What is the probability that a single doe captured (weighed
and released) at random in December is undernourished? (Round your...

Let x be a random variable that represents the weights
in kilograms (kg) of healthy adult female deer (does) in December
in a national park. Then x has a distribution that is
approximately normal with mean ? = 64.0 kg and standard
deviation ? = 8.3 kg. Suppose a doe that weighs less than
55 kg is considered undernourished.
(a) What is the probability that a single doe captured (weighed
and released) at random in December is undernourished? (Round your...

Let x be a random variable that represents the weights in
kilograms (kg) of healthy adult female deer (does) in December in a
national park. Then x has a distribution that is approximately
normal with mean μ = 64.0 kg and standard deviation σ = 8.9 kg.
Suppose a doe that weighs less than 55 kg is considered
undernourished. (a) What is the probability that a single doe
captured (weighed and released) at random in December is
undernourished? (Round your...

Let x be a random variable that represents the weights in
kilograms (kg) of healthy adult female deer (does) in December in a
national park. Then x has a distribution that is approximately
normal with mean μ = 70.0 kg and standard deviation σ = 8.1 kg.
Suppose a doe that weighs less than 61 kg is considered
undernourished.
(a) What is the probability that a single doe captured (weighed
and released) at random in December is undernourished? (Round your...

A sociologist is interested in the relation between x = number
of job changes and y = annual salary (in thousands of dollars) for
people living in the Nashville area. A random sample of 10 people
employed in Nashville provided the following information. x (number
of job changes) 7 4 5 6 1 5 9 10 10 3 y (Salary in $1000) 38 32 34
32 32 38 43 37 40 33 Σx = 60; Σy = 359; Σx2 =...

A sociologist is interested in the relation between x =
number of job changes and y = annual salary (in thousands
of dollars) for people living in the Nashville area. A random
sample of 10 people employed in Nashville provided the following
information.
x
(number of job changes)
4
3
5
6
1
5
9
10
10
3
y
(Salary in $1000)
38
34
31
32
32
38
43
37
40
33
In this setting we have ?x = 56,...

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