Best fit line to a function

Calculus Level 4

The slope of the best-fit line that passes through the origin for \[f(x)=\dfrac{\sin x}{x}, \ x\in \left(0,\dfrac{\pi}{2}\right)\] can be written as \(\dfrac{a}{b\pi^c}\), where \(\gcd (a,b)=1\). Find \(a+b+c\).

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Clarification: The best-fit line is the line such that the sum of each error squared is minimized.

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