Question

The monthly average temperatures (in "F) in Phoenix, Arizona, are shown in the table. (a) Predict the yearly average temperature and compare it with the actual value of $70^{\circ} \mathrm{F}$ (b) Plot the monthly average temperature over a 2 -year period by letting $x=1$ correspond to January of the first year. (c) Determine a sinusoidal function of the form $f(x)=a \cos [b(x-d)]+c,$ where $a, b, c,$ and $d$ are constants, that models the data. (d) Graph $f$ together with the data on the same coordinate axes. How well does $f$ model the data? (e) Use the sine regression capability of a graphing calculator to find the equation of a sine curve that fits these data.

          The monthly average temperatures (in "F) in Phoenix, Arizona, are shown in the table.
(a) Predict the yearly average temperature and compare it with the actual value of $70^{\circ} \mathrm{F}$
(b) Plot the monthly average temperature over a 2 -year period by letting $x=1$ correspond to January of the first year.
(c) Determine a sinusoidal function of the form $f(x)=a \cos [b(x-d)]+c,$ where $a, b, c,$ and $d$
are constants, that models the data.
(d) Graph $f$ together with the data on the same coordinate axes. How well does $f$ model the data?
(e) Use the sine regression capability of a graphing calculator to find the equation of a sine curve that fits these data.

Added by Juan Jos- S.

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