Error using Polyfit: The first two inputs must have the same number of elements. The x can have multiple inputs as columns?

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x = t_result(:,2:8);
y = t_result(:,11);
p1 = polyfit(x,y,1);
f1 = polyval(p1, x);
p2 = polyfit(x,y,2);
f2 = polyval(p2, x);
res1 = polyval(p1,x) - y;
res2 = polyval(p2, x) - y;
subplot(2,2,1), plot(x,y,'ko'), hold on, plot(x,f1,'k--'), grid on, title('1st Order Fit')
subplot(2,2,2), plot(x,y,'ko'), hold on, plot(x,f2,'k--'), grid on, title('2nd Order Fit')

Answers (2)

KSSV
KSSV on 17 Sep 2020
Edited: KSSV on 17 Sep 2020
Your x is a m*6 array and y is a m*1..It is not allowed. That is why you got error.
Run a loop and use polyfit for each column of x.
If you are looking to fit a line with multiple inputs.....Have a look on regression.

Walter Roberson
Walter Roberson on 17 Sep 2020
The x can have multiple inputs as columns?
doc polyfit
"If x is not a vector, then polyfit converts it into a column vector x(:)."
"If y is not a vector, then polyfit converts it into a column vector y(:)."
You cannot use polyfit() to fit a multi-dimensional x against a y value.
I speculate that you might be wanting:
p1 = [x, ones(size(x,1),1)] \ y;
This should give you a size(x,2)+1 vector of results, such that
p1(1)*x(:,1) + p1(2)*x(:,2) + p1(3)*x(:,3) + p1(4)*x(:,4) + p1(5)*x(:,5) + p1(6)*x(:,6) + p1(7)*x(:,7) + p1(8)*1 best approximates y

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