El+Tiempo+de+Orlando

=El Tiempo de Orlando =
 * Web Designer:** Seth Nadu
 * Forum Moderator:** Natalie Herr
 * Connections Facilitator:** Katherine Holzhauer


 * Question:** Create an annual temperature model using the sine or cosine function for a city of your choice. Fully explain the components of your model, compare the predictions from your model to the actual temperatures from the data set you used and include a use of your temperature model. Your model should include the graph and the function that models your data.

=**Monthly Averages for Orlando**=

We used the graph pictured above to gather our info. Once we got the average high temperature we enter the information in a stat plot on the graphing calculator. Then we found the sinusoidal regression equation.
 * Month || Average Temp. || Model Temp. ||
 * January || 71 || 70.65 ||
 * February || 74 || 73.48 ||
 * March || 78 || 77.94 ||
 * April || 83 || 83.09 ||
 * May || 88 || 87.91 ||
 * June || 91 || 91.39 ||
 * July || 92 || 92.83 ||
 * August || 92 || 91.94 ||
 * September || 90 || 88.89 ||
 * October || 85 || 84.31 ||
 * November || 79 || 79.13 ||
 * December || 73 || 74.42 ||

y=a*sin(bx+c)+d

a= 11.4 b= .46 2pi/.46 c= -1.68 d= 81.4

y=11.4(sin) ((.46)X+ (1.68)) + 81.4

We entered this in the graphing program and got this graph.

Connections- Throughout this project we used many trigonometric concepts. We used sinusoidol regression. The basic equation is y=a*sin(bx+c)+d. A is the amplitude. Our amplitude is 11.4. The amplitude is the 1/2 height. B is the period. The period could be described as the width of the graph. Our period is .46. The formula for the period change is 2pi/B so 2pi/.46. C determines weather the graph moves left or right. Our C is -1.68. You plug C into the formula -C/B. That makes our C equal 1.68/.46. This means it moves to the right. D sends the equation up or down. Our equation moves up 81.4. We also made a sin graph.