what do they mean by sine regression?

i am currently working on the grd 11 isu and i am just wondering how i am supposed to incorpporate sine regreession into it?
my isu is, you have a picture you have to find a curve in it and figure out the equation of it

http://www.jiskha.com/display.cgi?id=1270401072

Sine regression, also known as sine curve fitting or sine wave fitting, refers to the process of finding an equation that best fits a set of data points in a periodic pattern that resembles a sine wave. It involves fitting a sine curve to the given data points in order to estimate the underlying periodic pattern and determine the equation of the curve.

To incorporate sine regression into your Grade 11 ISU (Independent Study Unit) where you need to find a curve in a picture and figure out its equation, you can follow these steps:

1. Gather Data: Begin by collecting data points from the given picture that represents the curve you want to analyze. Ideally, you should have a set of coordinates that correspond to the curve's shape.

2. Plot the Data: Plot the collected data points on a graph, with the x-axis representing the independent variable (e.g., time) and the y-axis representing the dependent variable (e.g., position).

3. Observe the Pattern: Look for any periodic or wave-like pattern in the data points. It might resemble a sine wave if it oscillates regularly.

4. Choose a Sine Curve Model: Determine the general equation of a sine curve that will be used to fit the data. The equation typically has the form: y = a * sin(b * x + c) + d, where a, b, c, and d are parameters to be determined.

5. Adjust the Parameters: Using a regression analysis tool or software, adjust the parameters of the sine curve equation to minimize the difference between the predicted values of the curve and the actual data points. This process is known as curve fitting or regression.

6. Evaluate the Accuracy: Once the parameters have been adjusted, evaluate the goodness of fit of the sine curve equation to the data points. This can be done by calculating a measure of the error or by visual inspection of how well the curve matches the data.

7. Determine the Equation: Finally, once you are satisfied with the fit, record the values of the parameters a, b, c, and d that best describe the curve. This will give you the equation of the fitted sine curve.

Remember that sine regression is just one way to approach curve fitting and there may be other methods that suit your ISU project better, depending on the nature of the given picture.