Question
In: Statistics and Probability
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 the critical values of from Table A-6 (page 732) using Is there sufficient evidence to support a claim that there is a linear correlation between altitude and outside air temperature? Altitude 3 10 14 22 28 31 33 Temp 57 37 24 -5 -30 -41 -54
Solutions
Expert Solution
Solution:-
Null Hypothesis HO: The population correlation
coefficient is not significantly different from 0.( 
)
Alternate Hypothesis HA: The population correlation
coefficient is significantly different from 0.( 
)
Significance level = 0.05
Degree of freedoms:-
D.F = n - 2
D.F = 5
Test statistics:-
t = - 0.211
tcritical = + 2.571
p value for test = 0.841
Since p value (0.841) is greater than the significance value so we have to accept the null hypothesis.
From this we can conclude that there is not a significant linear relationship(correlation) between two variables.
orchestra answered 2 years agoRelated Solutions
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...
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...
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...
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...
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
draw the graph.
e. Determine whether there is sufficient...
The body temperatures in degrees Fahrenheit of a sample of adults in one small town are:...
The body temperatures in degrees Fahrenheit of a sample of
adults in one small town are:
99.3
99.1
97.6
97.4
97.9
97.1
97.2
Assume body temperatures of adults are normally distributed. Based
on this data, find the 99% confidence interval of the mean body
temperature of adults in the town. Enter your answer as an
open-interval (i.e., parentheses)
accurate to 3 decimal places. Assume the data is from a normally
distributed population.
99% C.I. =
The body temperatures in degrees Fahrenheit of a sample of adults in one small town are:...
The body temperatures in degrees Fahrenheit of a sample of
adults in one small town are:
96.8
98.3
99.6
96.7
97.1
97.5
97
99.5
99
99.2
98.4
Assume body temperatures of adults are normally distributed. Based
on this data, find the 95% confidence interval of the mean body
temperature of adults in the town. Enter your answer as an
open-interval (i.e., parentheses)
accurate to 3 decimal places. Assume the data is from a normally
distributed population.
95% C.I. =
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