How to plot a log log equation

I am trying to plot the following equation in matlab.. log ts = log c + nlog(v/a). I am required to find the value of c(which is the intercept) and n(which is the slope). The plot is ts against v/a.

Pls how do i proceed on this?

[Benjamin Kraus]

Can you please clarify...

You said you want to plot an equation, which you can only do if you know the values of c and n. However, you then say you are required to find the values of c and n, which suggests you have data you want to plot, then fit a curve to the data.

Are you trying to plot an equation, or are you trying to fit a line to your data to extract values for c and n?

[Okechukwu Anene]

I apologize for the confusion. Yes I have data that i want to plot. i have 4 values for Ts : 3.48, 15.78, 10.17 and 8.13. Also, values for v/a are: 0.226, 0.536, 0.416, 0.367.

I am required to plot Ts against v/a on a log log graph and to find the slope n and intercept c using matlab.

The equation of the line is log ts = log c + nlog (v/a).

Answer 1

[Akira Agata]

It seems that your data can be better fitted by 'Ts = b1 + b2*(v/a)' rather than 'Ts = b1 + b2*log(v/a)'. Here is an example to fit the data and plot in log-log graph.

Ts = [3.48, 15.78, 10.17, 8.13]';
va = [0.226, 0.536, 0.416, 0.367]';

X1 = [ones(size(va)) va];
b1 = X1\Ts;
X2 = [ones(size(va)) log(va)];
b2 = X2\Ts;

vaa = linspace(0.2,0.6)';
Ts1 = [ones(size(vaa)), vaa]*b1;
Ts2 = [ones(size(vaa)), log(vaa)]*b2;

loglog(va,Ts,'o-')
hold on
loglog(vaa,Ts1)
loglog(vaa,Ts2)
legend({'Data','Ts = b1 + b2*va','Ts = b1 + b2*log(va)'})
xlabel('v/a','FontSize',12)
ylabel('Ts','FontSize',12)
grid on

[Okechukwu Anene]

Thank you so much for your response. however am running into some issues applying the code. I attached a screenshot of the error. Pls what do you think?

Thanks so much

[Akira Agata]

Hi Okechukwu-san,

Please insert space between 'ones(size(va))' and 'va', or just copy&paste my sample code.