Please show all steps and explaination

No$.2$

The spring in the figure below is successively loaded with a force given in column $1$ in Newtons and the displacement is measured in cm given in column $2.$

A$.$ Plot the force vs$.$ displacement curve for the spring. Show a circle on the graph at the location of the data points.

B$.$ Would you consider this spring linear? If not determine the force limit in $N$ of the valid linear range.

C$.$ Estimate the spring constant in $\frac{N}{m}$ of the linear range using a valid statistical method.

D$.$ Plot the line representing the spring constant on the force vs$.$ displacement graph.

$\backslash$table$[[$Force$,N,$Displacement, cm$],[200,7\mathrm{.}0],[400,14\mathrm{.}6],[600,20\mathrm{.}4],[800,28\mathrm{.}4],[1200,50\mathrm{.}0],[1500,80\mathrm{.}3],[1800,110]]$