Fraction of sky covered Time of day Midn. 3AM 6AM 9AM Noon 3PM 6PM 9P.M 0.39 0.41 0.38 0.45 0.48 0.47 0.45 0.41 0.52 0.49 0.57 0.55 0.53 0.46 0.46 0.55 0.52 0.62 0.60 0.57 0.49 0.43 20.7 0.52 0.56 0.54 0.64 0.63 0.59 0.52 0.47 20.6 0.54 0.66 0.65 0.61 0.54 0.49 0.59 0.57 0.59 0.59 0.69 0.67 0.64 0.55 0.51 20.5 0.55 20.4 0.56 0.59 0.62 0.72 0.68 0.66 0.58 0.56 20.3 0.58 0.62 0.64 0.74 0.71 0.69 0.60 0.60 20.2 0.60 0.67 0.66 0.78 0.74 0.71 0.62 0.62 20.1 0.66 0.71 0.72 0.89 0.86 0.84 0.79 0.66 (a) What percentage of time is at least half of the sky covered by clouds at 3 A.M.? 59 % 1.0 20.9 0.48 20.8 0.50 (b) In order to model the frequency of an overcast sky, given the time of day, which variable must be held constant? fraction of sky covered row ◆ time of day column (c) Is the cross section in part (b) represented by a row or a column of the table? X
Fraction of sky covered Time of day Midn. 3AM 6AM 9AM Noon 3PM 6PM 9P.M 0.39 0.41 0.38 0.45 0.48 0.47 0.45 0.41 0.52 0.49 0.57 0.55 0.53 0.46 0.46 0.55 0.52 0.62 0.60 0.57 0.49 0.43 20.7 0.52 0.56 0.54 0.64 0.63 0.59 0.52 0.47 20.6 0.54 0.66 0.65 0.61 0.54 0.49 0.59 0.57 0.59 0.59 0.69 0.67 0.64 0.55 0.51 20.5 0.55 20.4 0.56 0.59 0.62 0.72 0.68 0.66 0.58 0.56 20.3 0.58 0.62 0.64 0.74 0.71 0.69 0.60 0.60 20.2 0.60 0.67 0.66 0.78 0.74 0.71 0.62 0.62 20.1 0.66 0.71 0.72 0.89 0.86 0.84 0.79 0.66 (a) What percentage of time is at least half of the sky covered by clouds at 3 A.M.? 59 % 1.0 20.9 0.48 20.8 0.50 (b) In order to model the frequency of an overcast sky, given the time of day, which variable must be held constant? fraction of sky covered row ◆ time of day column (c) Is the cross section in part (b) represented by a row or a column of the table? X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Fraction of sky covered
Time of day
9AM Noon 3PM 6PM 9P.M
0.39 0.41 0.38
0.47 0.45 0.41
1.0 0.45 0.48
20.9 0.48
20.8 0.50
0.52 0.49 0.57 0.55 0.53 0.46 0.46
0.55 0.52 0.62 0.60 0.57 0.49 0.43
20.7 0.52
20.6 0.54
0.56 0.54 0.64 0.63 0.59 0.52 0.47
0.59 0.57 0.66 0.65 0.61 0.54 0.49
0.59 0.59 0.69 0.67 0.64 0.55 0.51
0.59 0.62 0.72 0.68 0.66 0.58 0.56
20.5 0.55
20.4 0.56
20.3 0.58
0.62
0.64 0.74 0.71
0.69 0.60 0.60
20.2 0.60
0.67
0.66 0.78 0.74 0.71 0.62 0.62
20.1 0.66 0.71 0.72 0.89 0.86 0.84 0.79 0.66
(a) What percentage of time is at least half of the sky covered by clouds at 3 A.M.?
59
%
Midn. 3AM 6AM
(b) In order to model the frequency of an overcast sky, given the time of day, which variable must be held constant?
fraction of sky covered
◆ time of day
column
X
(c) Is the cross section in part (b) represented by a row or a column of the table?
row
(d) Find the function of the cubic cross-sectional model that gives the frequency of an overcast sky, where t is the number of hours after
midnight, with data from 0 ≤ t ≤ 21. (Convert the given frequency values to percentages. Then, use these percentages to find the
function of the cubic model. Round all numerical values to three decimal places.)
c(t, 1) =
%
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