Solve the problem.
-Use regression to find constants a, b, c, and d so that f(x)= a sin (bx + c)+ d models the data given below. Round all answers to 9 decimal places. $\begin{array}{l|llllllllllll}
\text { Month } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \
\hline \text { Precipitation (inches) } & 1 & 3 & 6 & 9 & 11 & 12 & 11 & 9 & 7 & 5 & 3 & 2
\end{array}$

A) $4.708150061 ; 1.025102863 ; - 2.474285177 ; 7.076487153$
B) $5.099259265 ; 0.531578044 ; - 1.738394218 ; 8.659926499$
C) $5.099259265 ; 0.531578044 ; - 1.738394218 ; 6.659926499$
D) $5.277184939 ; 0.062976370 ; - 2.042562480 ; 6.904195597$

Question

Solve the problem.
-Use regression to find constants a, b, c, and d so that f(x)= a sin (bx + c)+ d models the data given below. Round all answers to 9 decimal places. $\begin{array}{l|llllllllllll}
\text { Month } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \
\hline \text { Precipitation (inches) } & 1 & 3 & 6 & 9 & 11 & 12 & 11 & 9 & 7 & 5 & 3 & 2
\end{array}$

A) $4.708150061 ; 1.025102863 ; - 2.474285177 ; 7.076487153$
B) $5.099259265 ; 0.531578044 ; - 1.738394218 ; 8.659926499$
C) $5.099259265 ; 0.531578044 ; - 1.738394218 ; 6.659926499$
D) $5.277184939 ; 0.062976370 ; - 2.042562480 ; 6.904195597$

Quizplus · Accepted Answer

To solve this problem, regression analysis is used to fit the given data to the model $f(x) = a \sin(bx + c) + d$. The correct constants $a$, $b$, $c$, and $d$ that best fit the data are found through computational methods, such as nonlinear regression or optimization algorithms, which are not detailed here. The constants provided in option C are the result of such an analysis, rounding each to nine decimal places.

Solve the Problem A) 4.708150061;1.025102863;−2.474285177;7.0764871534.708150061 ; 1.025102863 ; - 2.474285177 ; 7.0764871534.708150061;1.025102863;−2.474285177;7.076487153

Solve the Problem A) $4.708150061 ; 1.025102863 ; - 2.474285177 ; 7.076487153$