Frequency of Cloud Cover over Minneapolis in January Time of day Midn. 3AM 6AM 9AM Noon 3PM 6PM 0.45 0.48 0.47 0.45 0.41 0.39 0.41 0.38 9PM 1.0 20.9 0.48 0.52 0.49 0.57 0.55 0.53 0.46 0.46 0.55 0.52 0.62 0.60 0.52 0.56 0.54 0.64 0.63 0.59 0.52 0.47 20.8 0.50 0.57 0.49 0.43 20.7 3 20.6 0.54 0.59 0.57 0.66 0.65 0.61 0.54 0.49 0.55 0.59 0.59 0.69 0.67 0.64 0.55 0.51 0.56 0.59 0.62 0.72 0.68 0.66 0.58 0.56 20.5 20.4 0.58 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 | 20.3 0.62 0.64 0.74 0.71 0.69 0.60 0.60 (a) What percentage of time is at least half of the sky covered by clouds at 9 P.M.? | % (b) In order to model the frequency of an overcast sky as a function of the time of day, which variable must be held constant? O fraction of sky covered time of day (c) Is the cross section in part (b) represented by a row or a column of the table? row column Fraction of sky covered
Frequency of Cloud Cover over Minneapolis in January Time of day Midn. 3AM 6AM 9AM Noon 3PM 6PM 0.45 0.48 0.47 0.45 0.41 0.39 0.41 0.38 9PM 1.0 20.9 0.48 0.52 0.49 0.57 0.55 0.53 0.46 0.46 0.55 0.52 0.62 0.60 0.52 0.56 0.54 0.64 0.63 0.59 0.52 0.47 20.8 0.50 0.57 0.49 0.43 20.7 3 20.6 0.54 0.59 0.57 0.66 0.65 0.61 0.54 0.49 0.55 0.59 0.59 0.69 0.67 0.64 0.55 0.51 0.56 0.59 0.62 0.72 0.68 0.66 0.58 0.56 20.5 20.4 0.58 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 | 20.3 0.62 0.64 0.74 0.71 0.69 0.60 0.60 (a) What percentage of time is at least half of the sky covered by clouds at 9 P.M.? | % (b) In order to model the frequency of an overcast sky as a function of the time of day, which variable must be held constant? O fraction of sky covered time of day (c) Is the cross section in part (b) represented by a row or a column of the table? row column Fraction of sky covered
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:The table shows frequency of cloud cover in Minneapolis.t
Frequency of Cloud Cover over Minneapolis in January
Time of day
Midn. 3 A.M 6A.M 9AM Noon 3P.M 6P.M 9P.M
0.45 0.48 0.47 0.45 0.41 0.39 0.41 0.38
0.48 0.52 0.49 0.57 0.55
0.50 0.55 0.52 0.62 0.60 0.57 0.49 0.43
0.52 0.56 0.54 0.64 0.63 0.59 0.52 0.47
0.54 0.59 0.57 0.66 0.65
0.55 0.59 0.59 0.69 0.67 0.64 0.55 0.51
0.56 0.59 0.62 0.72 0.68 0.66 0.58 0.56
0.58 0.62 0.64 0.74 0.71
20.2 0.60 0.67 0.66 0.78 0.74 0.71 0.62 0.62
0.66 0.71 0.72 0.89 0.86 0.84 0.79 0.66
1.0
20.9
0.53 0.46 0.46
20.8
20.7
20.6
0.61 0.54 0.49
20.5
20.4
20.3
0.69 0.60 0.60
20.1
(a) What percentage of time is at least half of the sky covered by clouds at 9 P.M.?
%
(b) In order to model the frequency of an overcast sky as a function of the time of day, which variable must be held constant?
O fraction of sky covered
O time of day
(c) Is the cross section in part (b) represented by a row or a column of the table?
O row
O column
(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 sts 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) =
%
Fraction of sky covered
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