$(35$ points$)$ A food engineer monitored the loss in anthocyanin content of fresh red

cabbage with storage time under constant temperature and relative humidity, and

obtained the following data. By experience, she$/$he knows that the relationship between

the anthocyanin content in the red cabbage $(m\frac{g}{100}g)$ and storage time $($day$)$ is linear.

a$)$Determine the model describing the anthocyanin content in the red cabbage as a

function of storage time. Determine also the correlation coefficient of your regression

analysis.

$($Note: You can use Excel or MATLAB to prepare your tables for the calculations. If you

do$,$ then you must also show them as a part of vour solution.$)$

b$)$ Using your model, predict the anthocyanin content of red cabbage at the end of $16$

days.

c$)$ Write a script M$-$file in MATLAB to perform the same tasks in parts $($a$)$ and $($b$).$ You can

use appropriate built$-$in functions when necessary in your commands.