It is often thought of as a linear technique, used for models that are linear in their parameters. A unique set of problems require data to be fit to periodic functions that use trigonometric functions as a model. Some examples of these phenomena include measurements of average temperature in a city over time analyzing time series data from the frequency domain point of view tidal ebbs and flows carbon dioxide or ozone concentrations in the atmosphere. B reflects period the range of X values for a complete cycle. C represents horizontal phase shift, meaning where does a given sine wave begin relative to its mean.
D represents vertical shift from zero to the mean of a given sine wave.
It is important to know the meanings of these parameters before investigating a model because initial guesses are needed for each of them. Knowing how the parameters affect the model allows for more informed guesses. The Data For this article, let s examine average temperature readings for Raleigh, North Carolina over a two-year period. The goal is to provide a model that can be used to predict certain temperature-dependent events. For example, farmers want to plant certain crops only when the average temperature is above 40 degrees.