How to calculate the linear regression of each cell of z value of array data?

How can calculate the linear regression/trend for z value of array

for example 10*16*108 and I want to apply regression formula only on z value (108) which will give the output matrix 10*16 showing unique trend of each cell of data.

I have no idea to get required output.

[dpb]

Where's the independent variable against which to fit z????

[Shakir Hussain]

It is grided data and 108 is showing its z valu but it bounded with relevant x and y values. Look at the uploaded data sample

[dpb]

I have no idea what that means???

What do you want to fit to what?

I gather the content of the 3D array is the response variable, but what is the independent?

[dpb]

>> load subset
>> whos subset
  Name          Size                   Bytes  Class    Attributes

  subset      817x941x23            17682331  uint8              

>> subset(1:10,1:10,1:3)
  10×10×3 uint8 array
ans(:,:,1) =
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
ans(:,:,2) =
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
ans(:,:,3) =
   100     0     0     0     0     0     0    36    85     0
   100     0     0     0     0     0     0     9    97     0
   100     0     0     0     0     0     0    17    24     0
   100   100     0     0     0     0     0     6    88     0
   100   100     0     0     0     0     0    17   100     0
   100    98     0     0     0     0     0     8     0     0
   100   100     0     0     0     0     0    16     0    22
   100    96     0     0     0     0     0    15     0    47
   100    94     0     0     0     0     0    34     0    10
     0   100     0     0     0     0     0    57     0    16
>> subset(1:10,1:10,end-4:end)
  10×10×5 uint8 array
ans(:,:,1) =
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
ans(:,:,2) =
     0     0     0   100     0     0     0     0     0     0
     0     0     0   100     0     0     0     0     0     0
     0     0     0   100     0     0     0     0     0     0
     0     0     0   100     0     0     0     0     0     0
     0     0     0   100     0     0     0     0     0     0
     0     0     0   100     0     0     0     0     0     0
     0     0     0   100     0     0     0     0     0     0
     0     0     0   100     0     0     0     0     0     0
     0     0     0   100     0     0     0     0     0     0
     0     0     0   100     0     0     0     0     0     0
ans(:,:,3) =
   100   100   100   100   100   100   100   100   100     0
   100   100   100   100   100   100   100   100   100     0
   100   100   100   100   100   100   100   100   100     0
   100   100   100   100   100   100   100   100   100     0
   100   100   100   100   100   100   100   100   100     0
   100   100   100   100   100   100   100   100   100     0
   100   100   100   100   100   100   100   100   100     0
   100   100   100   100   100   100   100   100   100     0
   100   100   100   100   100   100   100   100   100     0
   100   100   100   100   100   100   100   100   100     0
ans(:,:,4) =
     0     0   100     0     0   100   100   100   100   100
     0     0   100     0     0   100   100   100   100   100
     0     0   100     0     0   100   100   100   100   100
     0     0   100     0     0   100   100   100   100   100
     0     0   100     0     0   100   100   100   100   100
     0   100   100     0     0   100   100   100   100   100
     0   100   100     0     0   100   100   100   100   100
     0   100   100     0     0   100   100   100   100   100
     0   100   100     0     0   100   100   100   100   100
     0   100   100     0     0   100   100   100   100   100
ans(:,:,5) =
   100   100   100   100   100   100   100   100   100   100
   100   100   100   100   100   100   100   100   100   100
   100   100   100   100   100   100   100   100   100   100
   100   100   100   100   100   100   100   100   100   100
   100   100   100   100   100   100   100   100   100   100
   100   100   100   100   100   100   100   100   100   100
   100   100   100   100   100   100   100   100   100   100
   100   100   100   100   100   100   100   100   100   100
   100   100   100   100   100   100   100   100   100   100
   100   100   100   100   100   100   100   100   100   100
>> 

I see nothing theere about 10*16*108 and absolutely nothing that looks like would be a suitable indepenent variable for fitting against, nor does there seem to be any trend in the data in the array itself that makes any sense to put a trend line through.

Show us a SMALL example of what yuo think your data is and what you want to do with it.