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Sinusoidal Regression
AP Precalculus · Unit 3 Trigonometric Functions
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Learning Objectives
Fit y = A sin(Bx + C) + D to periodic data
Determine amplitude, period, phase shift, and vertical shift
Apply sinusoidal models to real-world cyclical data
Evaluate goodness of fit visually
Model: y = A sin(Bx + C) + D
A = amplitude
B = 2π/period
C = phase shift
D = vertical shift (midline)
Tags
sinusoidal
regression
periodic
amplitude
AP Precalculus
Amplitude A
5
Period (2π/B)
12
Phase shift C
0
Vertical shift D
10
Data Presets
🌡️ Temperature
☀️ Daylight Hours
🌊 Tides
Fit Parameters
A
5
Period
12
Phase C
0
Midline D
10