THE HUMIDITY DATA IS GIVEN BY:

Date and Humidity in Percentage

April $1,2024-78\mathrm{.}50\%$

April $2,2024-79\mathrm{.}50\%$

April $3,2024-79\%$

April $4,2024-79\%$

April $5,2024-76\mathrm{.}50\%$

April $6,2024-80\%$

April $7,2024-79\mathrm{.}50\%$

Let t represent the number of days elapsed after the first day of April $($denoted as t $=0),$ and h$($t$)$ denote the humidity percentage for day t$.$ Focus solely on the initial six days of April. Subsequently, ascertain the interpolating polynomial that offers the closest fit to the data via Lagrange interpolation. Employ the subsequent four days of your dataset to compare the humidity percentages derived from the polynomial.

Then, make an interpolation table and also generate the coefficients and graph using matlab and provide the code.