The first sixteen values of a function $\displaystyle {f{{\left({x}\right)}}}$ are given in the table below.

$\displaystyle {x}$	$\displaystyle {f{{\left({x}\right)}}}$
$\displaystyle {0}$	0.07
$\displaystyle {1}$	1.464
$\displaystyle {2}$	2.09
$\displaystyle {3}$	1.464
$\displaystyle {4}$	0.09
$\displaystyle {5}$	-1.444
$\displaystyle {6}$	-2.1
$\displaystyle {7}$	-1.464
$\displaystyle {8}$	0.06
$\displaystyle {9}$	1.314
$\displaystyle {10}$	1.92
$\displaystyle {11}$	1.354
$\displaystyle {12}$	0.05
$\displaystyle {13}$	-1.504
$\displaystyle {14}$	-1.99
$\displaystyle {15}$	-1.414

What is the approximate period of the function? What is the approximate amplitude of the function? Use the previous to give a sine function which models the data $\displaystyle {f{{\left({x}\right)}}}=$ $\displaystyle {\sin{}}$( x).