you will see $\text{'}$A$\text{'}$ in table of the image. you must use the value of A which is given.$($A$=6)$ Ohm's law states that the voltage drop $V$ across a ideal resistor is linearly proportional to the current I flowing through the register as in $V=iR,$ where $R$ is the resistance. However, the real resistors may not always obey Ohm's law. Suppose that you performed some very precise experiments to measure the voltage drop and corresponding current for register. The following results suggest a curvilinear relationship rather than the straight line represented by Ohm's law:

$($there is a table which is shown in the picture$)$

To quantify this relationship, curve must be fit to the data. Because of measurement error, regression would typically be the preferred method of curve fitting for analyzing such experimental data. However, the smoothness of the relation, as well as the precision of the experimental methods suggests that the interpolation might be appropriate. Answer the following based on above mentioned problem:

a$)$ Interpret why interpolation might be better curve fitting than regression for above data.

b$)$ Which order of interpolating polynomial would be best fit for the data and why?

c$)$ Find the polynomial that fit the above data using interpolation technique that you

think will be the best method. Analyze your answer by comparing with other

interpolation methods.

d$)$ Compute $V$ for $i=0\mathrm{.}10.$ where right most digit of my student id is $6.$So$,$ A$=6.$ DONT MESS.PLZ$.$