Question
In: Statistics and Probability
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight....
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet).
|
Altitude |
4 |
6 |
16 |
22 |
27 |
31 |
33 |
|
|---|---|---|---|---|---|---|---|---|
|
Temperature |
57 |
36 |
26 |
−3 |
−30 |
−41 |
−50 |
a. Find the explained variation.
_______
(Round to two decimal places as needed.)
b. Find the unexplained variation.
______
(Round to five decimal places as needed.)
c. Find the indicated prediction interval.
degrees°F less than<y less than<degrees°F
(Round to four decimal places as needed.)
Solutions
Expert Solution
The statistical software output for this problem is:
Hence,
a) Explained variation = 9931.00
b) Unexplained variation = 376.43
c) 95% prediction interval:
20.5431 < y < 72.7298
-
orchestra answered 1 year agoRelated Solutions
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight....
Listed below are altitudes (thousands of feet) and outside air
temperatures (°F) recorded during a flight. Find the (a)
explained variation, (b) unexplained variation, and (c)
indicated prediction interval. There is sufficient evidence to
support a claim of a linear correlation, so it is reasonable to
use the regression equation when making predictions. For the
prediction interval, use a 95% confidence level with the altitude
of 6327 ft (or 6.327 thousand feet).
Altitude Temperature
3 60
10 40
13 22...
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight....
Listed below are altitudes (thousands of feet) and outside air
temperatures (°F) recorded during a flight. Find the (a)
explained variation, (b) unexplained variation, and (c)
indicated prediction interval. There is sufficient evidence to
support a claim of a linear correlation, so it is reasonable to
use the regression equation when making predictions. For the
prediction interval, use a 95% confidence level with the altitude
of 6327 ft (or 6.327 thousand feet).
Altitude Temperature
2
55
9
33
16
23...
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight....
Listed below are altitudes (thousands of feet) and outside air
temperatures (°F) recorded during a flight. Find the (a)
explained variation, (b) unexplained variation, and(c) indicated
prediction interval. There is sufficient evidence to support a
claim of a linear correlation, so it is reasonable to use the
regression equation when making predictions. For the prediction
interval, use a 95% confidence level with the altitude of 6327 ft
(or 6.327 thousand feet).
Altitude
4
11
15
20
29
31
33
...
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight....
Listed below are altitudes (thousands of feet) and outside air
temperatures (°F) recorded during a flight. Find the (a)
explained variation, (b) unexplained variation, and (c)
indicated prediction interval. There is sufficient evidence to
support a claim of a linear correlation, so it is reasonable to
use the regression equation when making predictions. For the
prediction interval, use a 95% confidence level with the altitude
of 6327 ft (or 6.327 thousand feet).
Altitude 4 12 15 20 28 31 33...
Listed below are altitudes (in thousands of feet) and outside air temperatures (in °F) recorded by...
Listed below are altitudes (in thousands of feet) and outside
air temperatures (in °F) recorded by a curious passenger during
Delta Flight 1053 from New Orleans to Atlanta.
Altitude
3
10
14
22
28
31
33
Temperature
57
37
24
-5
-30
-41
-54
Below is the scatterplot of this data with the best-fit
line.
Correlation coefficient (r) = -0.997
Meanaltitude = 20.14
Meantemperature = -1.71
Standard deviationaltitude (sx) =
11.423
Standard deviationtemperature (sy) = 42.221
Write down the equation...
1. Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a...
1. Listed below are altitudes (thousands of feet) and outside
air temperatures (°F) recorded during a flight. Find the (a)
explained variation, (b) unexplained variation, and (c)
indicated prediction interval. There is sufficient evidence to
support a claim of a linear correlation, so it is reasonable to
use the regression equation when making predictions. For the
prediction interval, use a 95% confidence level with the altitude
of 6327 ft (or 6.327 thousand feet).
Altitude
4
10
13
22
29
31...
Listed below are altitudes (thousands of feet) and outside air temperatures (degrees Fahrenheit) recorded during Delta...
Listed below are altitudes (thousands of feet) and outside air
temperatures (degrees Fahrenheit) recorded during Delta Flight 1053
from New Orleans to Atlanta. Construct a scatterplot, and find the
value of the linear correlation coefficient Also find the -value or
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3 10 14 22 28 31 33 Temp 57...
1. Listed below are altitudes (thousands of feet) and air temperatures (degree Fahrenheit). Altitude 3 10...
1. Listed below are altitudes (thousands of feet) and air
temperatures (degree Fahrenheit).
Altitude
3
10
14
22
28
31
33
Temperature
57
37
24
-5
-30
-41
-54
a. Construct a scatterplot.
b. Find the value of the linear correlation coefficient r.
c. Find the regression equation and draw the regression line on
the scatterplot in a).
d. Find the critical values from Table A-6 using α = .05 and
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recorded temperatures (in F) and precipitation in (inches) at a place are as follows: Temperature(x) 86,...
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6. Listed below are actual high temperatures and the high temperatures that were forecast five days...
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