Answer
See below
Work Step by Step
We will first plot the points that we get from the data. We can notice it creates a graph that looks like the graph of a cubic function. Hence, this data can be modeled by the cubic function $y=ax^3+bx^2+cx+d$
By using a graphing calculator, we find that $a=0.0021\\b=-0.0766\\c=1.258\\d=-0.0664$
Hence, the model for the given data is $y=0.0021x^3-0.0766x^2+1.258x-0.0664$