Question
In: Statistics and Probability
Can a low barometer reading be used to predict maximum wind speed of an approaching cyclone?...
Can a low barometer reading be used to predict maximum wind
speed of an approaching cyclone? Data for this problem are based on
information taken from Weatherwise, a publication of the American
Meteorological Society. For a random sample of tropical cyclones,
let x be the lowest pressure (in millibars) as a cyclone
approaches, and let y be the maximum wind speed ( in miles per
hour) of the cyclone x 1004 975 992 935 985 932 Y 40 100 65 145 80
150
a. (2 pts.) Make a scatter diagram and draw a line you think best
fits the data.
b. (3 pts.) Find the sample correlation coefficient r.
c. (3 pts.) Find the equation for the least squares regression
line
d. (2 pts.) Find the maximum wind speed when the barometric
pressure is 950.
Solutions
Expert Solution
a,c )
b.
d.
Y hat = 1496.7846 - 1.4427 * 950 = 126.2196
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orchestra answered 1 year agoRelated Solutions
Can a low barometer reading be used to predict maximum wind speed of an approaching tropical...
Can a low barometer reading be used to predict maximum wind
speed of an approaching tropical cyclone? For a random sample of
tropical cyclones, let x be the lowest pressure (in millibars) as a
cyclone approaches, and let y be the maximum wind speed (in miles
per hour) of the cyclone. x 1004 975 992 935 979 926 y 40 100 65
145 82 153 (a) Make a scatter diagram of the data and visualize the
line you think best...
Can a low barometer reading be used to predict maximum wind speed of an approaching tropical...
Can a low barometer reading be used to predict maximum wind
speed of an approaching tropical cyclone? For a random sample of
tropical cyclones, let x be the lowest pressure (in
millibars) as a cyclone approaches, and let y be the
maximum wind speed (in miles per hour) of the cyclone.
x
1004
975
992
935
982
924
y
40
100
65
145
68
153
Use a calculator to verify that Σx = 5812,
Σx2 = 5,635,030, Σy = 571,...
Can a low barometer reading be used to predict maximum wind speed of an approaching tropical...
Can a low barometer reading be used to predict maximum wind
speed of an approaching tropical cyclone? For a random sample of
tropical cyclones, let x be the lowest pressure (in
millibars) as a cyclone approaches, and let y be the
maximum wind speed (in miles per hour) of the cyclone.
x 1004 975 992 935 976 928
y 40 100 65 145 75 146
(b) Use a calculator to verify that Σx = 5810,
Σx2 = 5,630,690, Σy =...
1. Please determine the maximum wind speed for a tropical cyclone with the following wind speeds....
1. Please determine the maximum wind speed for a tropical
cyclone with the following wind speeds. NOTE!!! Assume the ambient
(external) pressure to be 101.3 kPa (Be sure to remember your
units)
(a) Pressure of 90.6 kPa
(b) Pressure of 91.9 kPa
(c) Pressure of 93.8 kPa
(d) Pressure of 97.1 kPa
the following data represent the maximum wind speed (in knots) and atmospheric pressure (in millibars) for...
the following data represent the maximum wind speed (in knots)
and atmospheric pressure (in millibars) for a random sample of 20
hurricanes that originated over the Atlantic Ocean in the last
decade. A table of summary statistics for this data (as calculated
in Homework 9) is also provided below.
In Homework 9, we determined the equation of the least-squares
regression line:
and also calculated the estimated standard error of the
model:
Use the information given above to complete the following...
Hurricanes The data below represent the maximum wind speed (in knots) and atmospheric pressure (in millibars)...
Hurricanes The data below represent the maximum
wind speed (in knots) and atmospheric pressure (in millibars) for a
random sample of hurricanes that originated in the Atlantic
Ocean.
Atmospheric Pressure (mb)
Wind Speed (knots)
993
50
995
60
994
60
997
45
1003
45
1004
40
1000
55
994
55
942
105
1006
30
1006
40
942
120
1002
40
986
50
983
70
994
65
940
120
976
80
966
100
982
55
Source:
National Hurricane Center
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