1. Use graphing calculator or technology to perform a sinusoidal regression that will determine the sine function that best fit the data of best fit equation.
2. Write the equation in the form given, and then factor out thek value and rewrite the function so that the form matches that of your function from part a)
3. Graph the scatter plot with your curve of best fit and include this in your document.

PART A:

15 19 amplifi. 13 -12 . 5 midline 12 phase, shift 11 10 9 Period= 12 B = 21 = 12 8 6 Max = 15 win = 10 Iphoneshift so 7 6 ". Amplitude = Max - Min - 5/2 2 2. 5 5 Midline = martmin = 25 = 1215 as graph start from lowest point, we cosine graph 3 42 - 215 COS ( A x ) + 12.5 2 :. sinefn ?) 4 2 - 2.5 8in ( 7 - X x ) + 12. 5 = 2 + 5 8in ( II Ex - I ) + 12. 5 N - 3 u + 8 10 11 12 month (2) . : sin ( I - x ) = cosx ] .. y = $2 .5 sin [ ( x -$3)]+ 12.5 1. for sin graph phase shift Daylight hours Avg value 2 10 + 10 . 8 + 12 . 1+ 13 : 2 + 1415 + 15+15 + 14 + 13 . 2 + 12. 3+ 11,5 + 10. 8 12 = 12 7 was,Use graphing calculator or technology to perform a sinusoidal regression that will determine the sine function that best fit the data of best t equation. 1'. Write the equation in the form given, and then factor out the I: value and rewrite the function so that the form matches that of your function from part 3) ii. Graph the scatter plot with your curve of best t and include this in your document. 4. For Temperature 3) b) C) Use a graphing calculator or technology to perform sinusoidal regression that will determine the sine function that best ts the data. Record the equation. Choose a temperature (not a max or min temperature) and use the equation from part a) to nd the months when the temperature is above your chosen temperature. Choose a month when the temperature is changing at a negative rate. Determine the instantaneous rate of change of temperature at that point