Question
In: Statistics and Probability
Annual high temperatures in a certain location have been tracked for several years. Let X represent...
Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). x y 3 35.01 4 35.38 5 37.75 6 36.12 7 36.49 8 40.16 9 38.93 10 39.7 11 42.77 12 43.24 13 42.11 14 44.08 The equation is ˆ y = x + Interpret the y-intercept of the equation: In 2003, the temperature was about 0.84. It does not make sense to interpret the intercept in this scenario. In 2014, the temperature was about 44.08. In 2003, the temperature was about 32.17. In 2000, the temperature was about 32.17
Solutions
orchestra answered 1 year agoRelated Solutions
Annual high temperatures in a certain location have been tracked for several years. Let X represent...
Annual high temperatures in a certain location have been tracked
for several years. Let X represent the number of years after 2000
and Y the high temperature. Based on the data shown below,
calculate the linear regression equation using technology (each
constant to 2 decimal places).
x
y
2
34.82
3
33.28
4
34.84
5
35.1
6
33.26
7
35.42
8
34.18
9
34.54
10
34.4
11
35.86
12
35.12
13
37.88
The equation is?
Interpret the slope
For each...
Annual high temperatures in a certain location have been tracked for several years. Let X represent...
Annual high temperatures in a certain location have been tracked
for several years. Let X represent the year and Y the high
temperature. At the 0.01 significance level, does the data below
show significant (linear) correlation between X and Y?
x
y
5
36.63
6
35.9
7
35.77
8
38.64
9
30.51
10
29.68
11
30.35
12
21.42
13
19.99
14
18.26
15
12.03
16
15.8
Yes, significant correlation
No
1)Annual high temperatures in a certain location have been tracked for several years. Let X represent...
1)Annual high temperatures in a certain location have been
tracked for several years. Let X represent the year and Y the high
temperature. Based on the data shown below, calculate the
regression line (each value to two decimal places).
y = _____________ x + ________________
x
y
3
10.42
4
10.96
5
13.8
6
17.14
7
16.98
8
21.22
9
23.96
10
23.9
11
27.14
12
30.28
13
30.22
14
34.06
15
37.1
16
36.74
17
41.08
18
41.62
2)...
Annual high temperatures in a certain location have been tracked for several years. Let XX represent...
Annual high temperatures in a certain location have been tracked
for several years. Let XX represent the year and YY the high
temperature. Based on the data shown below, calculate the
correlation coefficient (to three decimal places) between XX and
YY. Use your calculator!
x
y
1
20.7
2
19.6
3
21.9
4
24.1
5
24.2
6
26.8
7
24.1
8
28.2
9
27.2
10
30.5
r=______
Annual high temperatures in a certain location have been tracked for several years. Let XX represent...
Annual high temperatures in a certain location have been tracked
for several years. Let XX represent the year and YY the high
temperature. Based on the data shown below, calculate the
correlation coefficient (to three decimal places) between XX and
YY. Use your calculator!
x
y
4
18.52
5
20.9
6
20.58
7
23.36
8
26.94
9
28.52
10
32.4
11
35.18
12
37.76
13
39.24
14
43.52
15
44.4
16
47.08
17
50.86
r=
Annual high temperatures in a certain location have been tracked for several years. Let XX represent...
Annual high temperatures in a certain location have been tracked
for several years. Let XX represent the year and YY the high
temperature. Based on the data shown below, calculate the
regression line (each value to two decimal places).
y = x +
x
y
5
27.1
6
26.18
7
31.16
8
31.14
9
32.42
10
36.6
11
37.28
12
39.46
13
41.84
14
44.42
15
44.4
2. Annual high temperatures in a certain location have been tracked for several years. Let XX...
2. Annual high temperatures in a certain location have been
tracked for several years. Let XX represent the year and YY the
high temperature. Based on the data shown below, calculate the
regression line (each value to two decimal places).
Y = ____ x + _____
x
y
3
12.12
4
17.26
5
16.3
6
21.04
7
20.98
8
24.52
4. Annual high temperatures in a certain location have been
tracked for several years. Let XX represent the year and...
Annual high temperatures in a certain location have been tracked for a sample of 13 years....
Annual high temperatures in a certain location have been tracked
for a sample of 13 years. Let X represent the year and Y the high
temperature (in C∘).
Years
Temperature in C∘C∘
2
9.5
3
9.35
4
11.2
5
11.35
6
10.6
7
12.95
8
13.7
9
13.45
10
12.2
11
12.65
12
15.9
13
15.55
14
14.3
1) Calculate the correlation coefficient. (Round to three
decimal places.)
r=
Let's test the significance of the correlation
coefficient at α=0.05 significance...
Once an individual has been infected with a certain disease, let X represent the time (days)...
Once an individual has been infected with a certain disease, let
X represent the time (days) that elapses before the individual
becomes infectious. An article proposes a Weibull distribution with
α = 2.6, β = 1.1, and γ = 0.5. [Hint: The two-parameter Weibull
distribution can be generalized by introducing a third parameter γ,
called a threshold or location parameter: replace x in the equation
below, f(x; α, β) = α βα xα − 1e−(x/β)α x ≥ 0 0 x...
Once an individual has been infected with a certain disease, let X represent the time (days)...
Once an individual has been infected with a certain disease, let
X represent the time (days) that elapses before the individual
becomes infectious. The article “The Probability of Containment for
Multitype Branching Process Models for Emerging Epidemics” (J. of
Applied Probability, 2011: 173-188) proposes a Weibull distribution
with alpha = 2.2, beta = 1.1, and gamma = 0.5
a. Calculate P(1 < X < 2).
b. Calculate P(X > 1.5).
c. What is the 90th percentile of the distribution?
d....
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