Question: Calculate the diffusion coefficient for the following data set using a moving window mean squared displacement. Include your plot for MSD vs. time step with

Calculate the diffusion coefficient for the following data set using a moving window mean squared displacement. Include your plot for MSD vs. time step with appropriate error bars, trendline, and equation. (Hint: This can be tedious to do by hand or on excel, but Matlab can be a useful tool for implementing for loops to do the analysis.) Use Matlab or Excel, Provide the code and all the formulas used.

Time (min)

x pos (mm)

y pos (mm)

0

0

0

5

0

0

10

-0.5

-1

15

-0.5

-1.5

20

0

-2.5

25

-1

-2.5

30

-2

-3.5

35

-3

-3.5

40

-4

-4.5

45

-3.5

-3.5

50

-3.5

-2.5

55

-4

-2.5

60

-4.5

-3

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