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(Solution Library) The linear model used in Question 1 can be improved by a function of the form y=mx+b+A sin (x/T) Explore the form of this function using the excel

Question: The linear model used in Question 1 can be improved by a function of the form

\[y=mx+b+A\sin \left( \frac{x}{T} \right)\]

Explore the form of this function using the excel spread sheet provided. You can experiment with changing the values of A and T.

  1. This model includes an additional two parameters, A and T (which is why we can achieve a better fit to the data). Explain the role of each of these parameters and what information they describe. (4 marks)
  2. The data is periodic, meaning it has a repeating pattern. Calculate the period of the data and suggest a reason why we see this periodicity in the data. (2 marks)
  3. State the values of m, b, A and T which provide the best fit to the data. Hence state the equation of the function used by your model. (3 marks)
  4. The true value of a model is in its ability to predict future measurements. Use your model to predict the atmospheric CO2 concentration at Mauna Loa on June 30th, 2020. (3 marks)

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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