This activity is intended to supplement Trigonometry, Chapter 2, Lesson 3.
Time required: 35 minutes
Students will sinusoidal regression to determine equations to model various data sets and use the equations to make inferences.
Topic: Trigonometric Functions
Calculate the trigonometric line of best fit to model bivariate data and use it to predict a value of one.
Teacher Preparation and Notes
Prior to beginning the activity, students should download the KANSTEMP program to their handhelds.
This investigation has students using sinusoidal regression with data sets and making inferences with the created equations.
Students should already be familiar with the properties of sine graphs.
This activity is intended to be teacher-led.
To download the calculator file, go to http://www.education.ti.com/calculators/downloads/US/Activities/Detail?id=9733 and select KANSTEMP.
Problem 1 – Temperature graphs
Students should plot the data using the settings shown to the right. To obtain an acceptable window, press ZOOM and select 9:ZoomStat.
Problem 2 – Hours of Sunlight
Students will again use the sinusoidal regression to find an equation to model the data.
Problem 3 – Tides
- Vernal Equinox - 81.94 calendar days (March 22)
- Autumnal Equinox - 264.97 calendar days (September 22)
- Summer Solstice (1st maximum of the function) -173.3 calendar days (June 22)
- Winter Solstice (1st minimum of the function) - 357.76 calendar days (December 22)