1.With your group members, choose a city of interest that is not Jacksonville, Florida. State the city and state, or city and country of choice: __________________________________________2.Find the average monthly temperature in degrees Fahrenheit for«your city goes here»for the months January 2020–January2021.The website Weather Underground (http://www.wunderground.com> Full Forecast> History > Monthly > Summary) is a good place to look for this data.You must include the citationfor yourdata whether you use wunderground.comor some other source.3.Use an Excel spreadsheet to record your data. Record January as month 0, February as month 1, etc.4.Use Excel to create a scatter plot with the data points connected as a smooth curve. The plot must have a title, labels (and units of measure) for both axes, and a reasonable scale for each axis. 5.Calculate the midline, period, amplitude, and horizontal shift for your data.Then,determine a trigonometric function that best models your data.You may use either a sine or cosine function.Make sure to include all of your mathematical calculations (step-by-step) in your report.Come see me if you need help typing mathematical equationsin Microsoft Word; this can be done using Insert>Equation.6.Use your function and desmos/graphing calculator to estimate the average temperatures for January-December. Include this data in your report.
MATH110K. Mierzwinski 27.Create a second scatter plot that includes the actual data values and the function/calculated data values. The plot must have a title, labels for both axes, and a reasonable scale for each axis. Copy and paste this scatter plot to the lab write-up. Copy and paste this scatterplot into the appropriate place in your report. Analysis:
1.Examine the combined graph of the scatter plot and your function and discuss yourobservations.For instance, how close does the graph of your function come to the graph of the actual data?How could you improve your trigonometric function?Discuss possible reasons for any differences between the average monthly temperature values from the data and those determined by your trigonometric function values.
2.Compare your calculatedaveragevalue for August20 with the actualaveragetemperature for August2020and discuss this comparison.Using your trigonometric function, predict the average monthly temperature for November 2020 and compare it to the actual average (make sure to include how you calculated this value).Which months does your function predict accurately?Whichmonths isyour functionoff?Is there a pattern?
3.Predict whichdays(or range of days)in2020«your city goes here»should have an average monthly temperature of 72 degrees Fahrenheit.Include calculations and discuss how you determined your predictions.(desmos may be helpful here
