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Use a graphing calculator or technology to perform sinusoidal regression that will determine the sine function that best fits the data. Record the equation. Choose

  1. Use a graphing calculator or technology to perform sinusoidal regression that will determine the sine function that best fits the data. Record the equation.
  2. Choose a temperature (not a max or min temperature) and use the equation from part a) to find the months when the temperature is above your chosen temperature.
  3. Choose a month when the temperature is changing at a negative rate. Determine the instantaneous rate of change of temperature at that point.

SAMPLE:

  • All sunrise and sunset data are taken from the first day of each month.
  • All times have been converted to hours using decimal values: i.e. 5 hr 45 min = 5 + 45/60 = 5.75 hrs.
  • Daylight hours are the difference between sunset time and sunrise time.
  • Temperature is the average monthly temperature.
  • DATA:

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