Using a Regression Analysis

QUESTION: Enter the midline temperature as^Y_2.Use your TI calculator, to solve for the values of t for which the temperature is equal to the midline (there should be 2). Approximately when on the calendar does this occur?

Using Regression Analysis:

y=23.97sin(0.51x + 2.02)+51.67

Amplitude= 23.97

Period= 12.32

Midline= 51.67

F(3.5)= 46.1 (middle of March, the average high temp is 46.1 degrees)

Original Data:

Month123456789101112Average High Temperature282940546571767364514134

The max temperature is 76 degrees. It occurs in month 7, July.

The min temperature is 28 degrees. It occurs in month 1, January.

y=52 midline

A=24 amplitude

period=12 months

midline is at t=4, April month 4 is midline and rising