Fitting a Cubic Model

$\frac{4}{7}$ points $($graded$)$

Now, fit the data to a cubic model $F_3(t){}_0+{}_{1}t+{}_2{t}^2+{}_3{t}^3.$

What are the values of hat$({)}_0,$hat$({)}_1,$hat$({)}_2$ and hat$({)}_3?$

$($Enter your answer accurate to at least $2$ significant figures.$)$

hat$({)}_0=$

hat$({)}_1=$

hat$({)}_2=$

hat$({)}_3=$

Plot the residual error $R_{\text{c}\text{u}\text{b}\text{i}\text{c}}.$ Which of the following plots matches the residual plot so

generated?