Plotting multiple datasets for different sample that share the different length ( x-axis)

Question

Hi I have some questions of the how can I plot the list of data that have different lengths.

In the graph, I would need to include an overall gradient.

The final goal of the graph should include:1) All the values of the sample in Y-axis. 2) X-axis to indicated the length. 3) The standard deviation of each sample. 4) The gradient fit, to understand the increase in length with the change in resistance correlation. See the below hand-drawn graph, as the example.

Can anyone help in this! Appreciate it! Thank you!

unstretch5S1A= {48.38, 48.37, 48.34, 48.31, 48.27, 48.22, 48.24, 48.15, 48.11, 48.11, 48.1, 48.08, 48.06, 48.06, 48.06, 48.05, 48.05, 48.06, 48.04, 48.06, 48.06, 48.05, 48.04, 48.04, 48.04, 48.03, 48.01, 48.01, 48.01, 48.01, 48, 48, 48, 48.01, 48, 48, 48, 48, 47.97, 47.95, 47.95, 47.94, 47.89, 47.87, 47.89, 47.88, 47.86, 47.85, 47.83, 47.84, 47.82, 47.84, 47.82, 47.82, 47.81, 47.81, 47.8, 47.79, 47.91, 47.41, 47.8}

unstretch7S1A={77.2, 77.1, 77, 77, 77, 77, 76.9, 76.9, 76.9, 76.9, 76.9, 76.9, 76.9, 76.9, 76.9, 76.9, 76.9, 77, 77, 77, 77, 77, 77, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77.1, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 76.9, 76.9, 76.9}

unstretch10S1AX={126.9, 126.8, 126.6, 126.5, 126.4, 126.3, 126.3, 126.2, 126.2, 126.1, 126.1, 126.1, 126, 126, 126, 126, 126, 126, 126, 126, 125.9, 125.9, 125.9, 125.9, 125.9, 125.9, 125.9, 125.9, 125.9, 125.9, 126.8, 126.8, 126.8, 126.8, 126.8, 126.8, 126.8, 125.7, 125.7, 125.7, 125.7, 125.7, 125.7, 125.7, 125.7, 125.7, 125.7, 125.7, 125.7, 125.6, 125.6, 125.6, 125.6, 125.6, 125.6, 125.6, 125.6, 125.5, 125.5, 125.5, 125.5}

unstretch27S1A={470.5, 470.5, 470.5, 470.5, 470.4, 470.3, 470.1, 470, 470, 470, 470, 469.9, 469.9, 469.8, 469.6, 469.6, 469.5, 469.5, 469.5, 469.3, 469.2, 469.1, 469.1, 469, 469, 468.7, 468.5, 468.4, 468.4, 468.4, 468.4, 468.2, 468.2, 468.1, 468, 468, 467.9, 467.8, 467.8, 467.7, 467.7, 467.7, 467.7, 467.6, 467.6, 467.5, 467.6, 467.5, 467.6, 467.5, 467.5, 467.5, 467.4, 467.4, 467.4, 467.4, 467.3, 467.3, 467.2, 467.2, 467.2}

unstretch30S1A= {327.5, 327.5, 327.5, 327.5, 327.5, 327.4, 327.3, 327.2, 327.2, 327.1, 327.1, 327.1, 327.1, 327.1, 327, 327, 327, 326.9, 326.8, 326.6, 326.6, 326.5, 326.5, 326.4, 326.4, 326.3, 326.3, 326.2, 326.1, 326.1, 326, 325.9, 325.8, 325.8, 325.7, 325.7, 325.6, 325.6, 325.6, 325.5, 325.4, 325.4, 325.2, 325.1, 325.1, 325.1, 325.1, 325.1, 325, 325, 324.9, 324.9, 324.9, 324.9, 324.9, 324.9, 324.8, 324.8, 324.8, 324.8, 324.8}

Combinegraph = 
 Join[{Transpose[unstretch5S1A][[2]], Transpose[unstretch7S1A][[2]], 
  Transpose[unstretch10S1AX][[2]], Transpose[unstretch27S1A][[2]], 
   Transpose[unstretch30S1A][[2]]}]

ListPlot[Transpose[Combinegraph]]
D1 = Flatten[Combinegraph];
Dimensions[D1]
D2 = Fit[D1, {1, x}, x]

Answer 1

Here some tips.

These are your data that you can plot and fit.

xAxis = {5, 7, 10, 27, 30};
yAxis = {unstretch5S1A, unstretch7S1A, unstretch10S1AX, 
   unstretch27S1A, unstretch30S1A};
data = Flatten[Inner[List, xAxis, yAxis, List], 1];

These are mean and stddev for each data set:

Transpose@{xAxis,
  Mean /@ yAxis,
  StandardDeviation /@ yAxis}

This is the fitting model:

fit = NonlinearModelFit[data, m*x + q, {m, q}, x]

This: http://reference.wolfram.com/language/ErrorBarPlots/ref/ErrorListPlot.html is the function you need to look at for assembling all the information I wrote above :) I'm sure it will be good for you if you try to put the pieces together by yourself!

Enjoy!