The table shows frequency of cloud cover in Minneapolis,t Frequency of Cloud Cover over Minneapolis in January Time of day Midn. 3AM 0.45 0.48 0.47 0.45 0.41 0.39 0.41 0.48 0.52 0.49 0.57 0.55 0.53 0.46 0.46 0.50 0.55 0.52 0.62 0.60 0.57 0.52 0.56 0.54 0.64 0.63 0.59 0.52 0.47 0.54 0.59 0.57 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 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 6AM 9AM Noon 3PM 6PM 9PM 1.0 0.38 20.9 20.8 0.49 0.43 20.7 20.6 0.0 0.66 0.65 0.61 0.54 0.49 20.5 20.4 20.3 0.69 0.60 | 0.60 20.2 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 cubic function that could be used to model the percentage of the time that the sky is completely overcast, where t is the number of hours after midnight and 0sts 21. (Tip: Convert the given frequency values to percentages before completing the cubic regression. Round all numerical values in the function to three decimal places.) Fraction of sky covered
The table shows frequency of cloud cover in Minneapolis,t Frequency of Cloud Cover over Minneapolis in January Time of day Midn. 3AM 0.45 0.48 0.47 0.45 0.41 0.39 0.41 0.48 0.52 0.49 0.57 0.55 0.53 0.46 0.46 0.50 0.55 0.52 0.62 0.60 0.57 0.52 0.56 0.54 0.64 0.63 0.59 0.52 0.47 0.54 0.59 0.57 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 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 6AM 9AM Noon 3PM 6PM 9PM 1.0 0.38 20.9 20.8 0.49 0.43 20.7 20.6 0.0 0.66 0.65 0.61 0.54 0.49 20.5 20.4 20.3 0.69 0.60 | 0.60 20.2 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 cubic function that could be used to model the percentage of the time that the sky is completely overcast, where t is the number of hours after midnight and 0sts 21. (Tip: Convert the given frequency values to percentages before completing the cubic regression. Round all numerical values in the function to three decimal places.) Fraction of sky covered
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 AM
9AM Noon 3P.M
0.45 0.41
6A.M
6P.M 9P.M
1.0
0.45 0.48
0.47
0.39
0.41
0.38
0.49 0.57 0.55 0.53 0.46 0.46
0.57 0.49 0.43
0.52 0.56 0.54 0.64 0.63 0.59 0.52 0.47
0.54 0.49
20.9
0.48
0.52
20.8
0.50 0.55 0.52 0.62 0.60
20.7
20.6
0.54
0.59 0.57 0.66 0.65 0.61
0.55 0.59 0.59 0.69 0.67 0.64 0.55 0.51
0.59 0.62 0.72 0.68
0.58 0.62 0.64 0.74 0.71
0.67 0.66 0.78 0.74 0.71
0.66 0.71 0.72 0.89 0.86
20.5
20.4
0.56
0.66 0.58
0.56
20.3
0.69
0.60
0.60
20.2
0.60
0.62
0.62
20.1
0.84
0.79
0.66
(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 cubic function that could be used to model the percentage of the time that the sky is completely overcast, where t is the number of hours after midnight and 0 s t s 21. (Tip: Convert the given
frequency values to percentages before completing the cubic regression. Round all numerical values in the function to three decimal places.)
c(t, 1) =
%
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