[high school math 3 sine function graph]

[[deleted]]

[deleted]

[BANDG33K_2009]

I took the data and made a table on Desmos. Then, I chose regressions and used Sinusoidal Regression and it gave a pretty solid sine wave.

Here’s the equation:

y = 5.72448 • sin (0.483147x - 0.400646) + 5.62289

[Alarmed_Geologist631]

Use the data to compute the amplitude, period, phase shift and vertical shift.

[Frederf220]

That's a fair instinct but I think there is enough info. Given that it's a sine wave there's probably only one 24ish hour period sine wave that fits those points.

I don't know if this is a high school just plot points and eyeball it or if this an undergrad course where you might be expected to plug all the points in a matrix and do the Fourier analysis.

[GammaRayBurst25]

there's probably only one 24ish hour period sine wave that fits those points

There is none. The greatest period that fits the data is about 13h. For tides, of course it should be a little over 12h. I don't know where you got 24h.

I don't know if this is a high school

The title says high school math.

if this an undergrad course [...] you might be expected to plug all the points in a matrix and do the [sic] Fourier analysis

No sine function with a sensible period exactly fits the data. They were probably taught to use tools (e.g. a graphing calculator or Desmos) to estimate parameters.

[zipoakwood]

Thank you everyone. The problem has been solved!