## How to Calculate linear trend for each column of a matrix

### Shakir Hussain (view profile)

on 23 Nov 2018
Latest activity Answered by Star Strider

on 23 Nov 2018

### Star Strider (view profile)

Can we calculate the linear trend of each column of a matrix without drawing any line,
For example I want to calculate the linear trend for the column a,b,c,d,e of the attached data
Thank you for any tips or help

### Tags ### Star Strider (view profile)

on 23 Nov 2018

Try this:
B = [(1:size(D,1))', ones(size(D,1),1)] \ D
producing:
B =
-0.7307 -0.6702 -0.5743 -0.5264 -0.3016
38.1515 33.7212 35.0423 35.3009 35.6209
The first row are the slopes and the second row are the intercepts. The columns are for ‘a’ through ‘e’ respectively.

### Luna (view profile)

on 23 Nov 2018

Hi,
I think you can use polyfit simply for this problem.
Here is an example code. You can apply it for the other columns aswell.
columnNames = txt(1,:);
columnNames(1) = [];
for i = 1:numel(columnNames)
colData.(columnNames{i}) = num(:,i);
end
x = 1:12;
linearCoefficients = polyfit(x,colData.a',1); % First degree linear fit
yFit = polyval(linearCoefficients, x);
% Apply it for colData.b and c .. so on.
%% To see data and line
figure;
plot(x,colData.a','bo');
hold on;
plot(x,yFit,'-r');

Luna

### Luna (view profile)

on 23 Nov 2018
Btw, I assumed your x data from 1 to 12. You can choose any other column as reference.
Shakir Hussain

### Shakir Hussain (view profile)

on 23 Nov 2018
dear luna, thanks for your response
yes you rightly assumed it. Could we deal it a matlab matrix without having column names? and have R and P value of all Y columns.
Luna

### Luna (view profile)

on 23 Nov 2018
Ah, that columnNames I just only used to extract the xls file easily.
You can always use below xlsread function outputs as you wish.
num gives you the only numerical matrix, txt only gives you the non-numeric text values, raw is the whole data as a cell array.
just get num and take each column of it one by one.