The following data represents the normal monthly precipitation for a certain city.

Question

erinweeks · Answer

Find the sinusoidal function of the form $$y=Asin(\omega x - \phi) + \beta $$ that fits the data.

erinweeks · Answer

@amistre64 can you help? or @mathstudent55

amistre64 · Answer

do you spose that this is a best fit problem?  or is it an exact fit problem?

amistre64 · Answer

if its an exact fit, then the range would give us the amplitude and vertical shift

amistre64 · Answer

3.91 to 8.19 is a range of 4.28; divided in half is 2.14 for an amplitude

the midpoint is 6.5 to give us an "exacting" start of say:

2.14 sin(...) + 6.5

if we subtract 6.5 from the given set of elements and divide them by 2.14 we should get this into a more normal looking sin setup

amistre64 · Answer

6.05 .. not 6.5

amistre64 · Answer

that gives us a -1 at month 0, and a 1 at month 6

amistre64 · Answer

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