In coastal North Carolina, Information regarding changing tides is critical for fishing and other instrusties. The table below shows tide data for Roanoke Marshes Lighthouse in the Outerbanks of North Carolina, for April 28-29, 2020. The heights reported in the table are relative to the Mean Lower Low Water (MLLW). The MLLW is the average height of the lowest tide recorded each day. The National Oceanic and Atmospheric Administration (NOAA) uses the MLLW as a reference point for reporting tidal data. High and low tides shown in the table are reported relative to the MLLW for Roanoke Marshes Lighthouse. Roanoke Marshes Lighthouse Tide Chart

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1. Create a scatter plot of the data using Desmos with the x-axis representing the time since midnight on
April 24, 2020 and the y-axis representing the Height in feet relative to the MLLW.
2. What type of function would best model this data set? Justify your reasoning.
3. Use Desmos to write a function of the form f(x) a sin(b(x-c))+d to model the data, where x is the
hours since midnight on April 28th, and f(x) is the height in feet relative to the MLLW.
4. Provide evidence, using residuals, that your model is the best fit model.
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LLU
Transcribed Image Text:1. Create a scatter plot of the data using Desmos with the x-axis representing the time since midnight on April 24, 2020 and the y-axis representing the Height in feet relative to the MLLW. 2. What type of function would best model this data set? Justify your reasoning. 3. Use Desmos to write a function of the form f(x) a sin(b(x-c))+d to model the data, where x is the hours since midnight on April 28th, and f(x) is the height in feet relative to the MLLW. 4. Provide evidence, using residuals, that your model is the best fit model. Search LLU
In coastal North Carolina, Information regarding changing tides is critical for fishing and other instrusties. The
table below shows tide data for Roanoke Marshes Lighthouse in the Outerbanks of North Carolina, for April
28-29, 2020. The heights reported in the table are relative to the Mean Lower Low Water (MLLW). The MLLW
is the average height of the lowest tide recorded each day. The National Oceanic and Atmospheric
Administration (NOAA) uses the MLLW as a reference point for reporting tidal data. High and low tides shown
in the table are reported relative to the MLLW for Roanoke Marshes Lighthouse.
Date
2020/04/28
2020/04/28
2020/04/28
2020/04/28
2020/04/29
2020/04/29
2020/04/29
2020/04/29
Roanoke Marshes Lighthouse Tide Chart
Time since
midnight
o 4-24
Time
02:46 AM
09:21 AM
2:38 PM
9:25 PM
03:37 AM
10:11 AM
3:21 PM
10 15 PM
Source: 113
Predicted (ft) High/Low
0.42
0.17
0.38
0.09
0.42
0.18
0.38
0.09
DER 2.000
HLHLHU
H
a
Transcribed Image Text:In coastal North Carolina, Information regarding changing tides is critical for fishing and other instrusties. The table below shows tide data for Roanoke Marshes Lighthouse in the Outerbanks of North Carolina, for April 28-29, 2020. The heights reported in the table are relative to the Mean Lower Low Water (MLLW). The MLLW is the average height of the lowest tide recorded each day. The National Oceanic and Atmospheric Administration (NOAA) uses the MLLW as a reference point for reporting tidal data. High and low tides shown in the table are reported relative to the MLLW for Roanoke Marshes Lighthouse. Date 2020/04/28 2020/04/28 2020/04/28 2020/04/28 2020/04/29 2020/04/29 2020/04/29 2020/04/29 Roanoke Marshes Lighthouse Tide Chart Time since midnight o 4-24 Time 02:46 AM 09:21 AM 2:38 PM 9:25 PM 03:37 AM 10:11 AM 3:21 PM 10 15 PM Source: 113 Predicted (ft) High/Low 0.42 0.17 0.38 0.09 0.42 0.18 0.38 0.09 DER 2.000 HLHLHU H a
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