Modeling Real World Data with Trig Functions
Ferris Wheel Example (From Yesterday)
1.)
2.)
3.)
Enter your data in the lists on the graphing calculator
Create a scatterplot of the data in your graphing
calculator of Distance above the Ground(ft) vs. Time
(seconds).
Find a sinusoidal regression y = a sin (bx+c) + d
equation to model your data and record the equation
below.
4.)
Enter your model in y = to graph it. How well does your
model fit the data?
5.)
Use your equation to predict the height of student B
above the ground after they have been on the ferris
wheel for 120 seconds.
Rise and Set for the Sun in 2002 in Deerfield, MA
The table gives sunrise, sunset and minutes of daylight for the first day of
each month for Deerfield, M
1.) Enter your data in the lists on
the graphing calculator
2.) Create a scatterplot of the
data in your graphing
calculator Daylight (minutes)
vs. Month (Number).
3.) Find a sinusoidal regression
y=asin(bx+c) + d equation to
model your data and record
the equation below.
4.) Enter your model in y = to
graph it. How well does your
model fit the data?
5.) What is the amplitude of your model?
6.) Approximate the period of your model.
Modeling Real World Data with Trig Functions
Refrigerator Data
As the temperature inside a refrigerator rises above the temperature set
on the thermostat, a compressor turns on and cools the air. When the air is
cooled below the thermostat setting, the compressor turns off. The
refrigerator slowly warms up and the cycle starts all over again. The table
gives the refrigerator temperature in degrees F every minute for 29
minutes.
1.) Enter your data in the lists on the graphing calculator
2.) Create a scatterplot of the data in your graphing
calculator of Temperature (°F) vs. Time (minutes).
3.) Find a sinusoidal regression y = a sin (bx+c) + d equation to
model your data and record the equation below.
4.) Enter your model in y = to graph it. How well does your
model fit the data?
5.) What is the amplitude of your model ? ___________
Interpret the amplitude in the context of the problem.
6.) Approximate the period of your model. ____________
Interpret the period in the context of the problem.
7.) Use your equation to predict the temperature of the
refrigerator after 42 minutes.
Modeling Real World Data with Trig Functions