Question

In: Physics

For the data below graph and determine the fit you should use based on the information...

For the data below graph and determine the fit you should use based on the information available. Also try to think about any natural system that might use this type of fit (use SciDavis). Let the horizontal axis represent time in seconds. Choose a physical quantity for y data.

Paste graph below and list the values of fitting parameters, along with their uncertainties. Watch significant figures and don’t forget the units for each parameter.

X

Y

1

1.82

2

2.36

3

3.24

4

4.69

5

7.09

6

11.04

7

17.56

8

28.3

9

46.01

10

75.21

Solutions

Expert Solution

      time       displacement

      x(sec)    y(meter)

         1       1.82
        2       2.36
        3       3.24
        4       4.69
        5       7.09
        6       11.04
        7       17.56
        8       28.3
        9       46.01
        10      75.21

Let the fit be of form f(x)=a*exp(b*x)

After fitting with this given data

a=0.619923 m

b=0.479415 /sec

percentage error in a=    +/- 0.03322      (5.359%)

percentage error in b=     +/- 0.005669     (1.182%)

genius_generous answered 2 years ago
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