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ENG1014 - Engineering Numerical Analysis - S1_2023

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Question 26

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A group of students undertook experiments involving drying of food materials. They obtained the data of moisture content (M) at various drying times (t) as shown in the table of data that can be downloaded at the following link:

Download the data for this question here (note: you must be logged into google with your Monash ID)

The students would like to linearise the tabulated data using the following equation:

M = AtB

where M is the moisture content, t is the drying time (hours), and A and B are both constants. For the measurement of moisture content, M = 1 represents 100% water.

(a) Using Matlab, determine the best-fit values of A and B using least-squares regression. Provide your answers to 4 decimal places as printed by MATLAB.

A =

 

B =

(b) Calculate the interpolated value of M for t=11. Provide your answers to 4 decimal places as printed by MATLAB.

M =

 

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