Write a matlab file that uses linear regression to find the value of the univers

Question

Write a matlab file that uses linear regression to find the value of the universal gas constant R in the ideal gas law. See below:

Assume you gathered the following table of temperature and pressure data in your laboratory for a 1 kg (=m) cylinder of nitrogen (standard atomic weight (Wa) of N2 28.014 g/mol) held at a constant volume of 10 m3: Write a MATLAB M-file that uses linear regression to find the the value of the universal gas constant R in ideal gas law: pV = nRT where p = pressure, V = volume, n = moles of gas, and T = temperature in degree K. The M-file must also compute the coefficient of determination for the linear fit to the data and the true relative percent error (epsilon t) between the value of R you find and the standard value found in the literature Turn in a copy of your M-file and a printout of the command window showing your results for R, r2, and epsilon t.

Explanation / Answer

T=[234 274 314 354 394 434];

P=[6900 8100 9350 10500 11700 12800];

n=1000/28.014;

V=10;

model=LinearModel.fit(T,P);

R=model.Coefficients.Estimate(2)*V/n

standardR = 8.314;

e=((R-standardR)/standardR)*100

R_square=model.Rsquared

RESULT:

R =

8.2941

e =

-0.2388

R_square =

Ordinary: 0.9997

Adjusted: 0.9996

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