Suppose an experiment were conducted on the stretching of a spring as a function of the force applied to the spring yielding the data in the following table Time (s) Position (m) 0.0       0.0 2.0       1.4 4.0      2.8 6.0        4.2 8.0       5.6 10.0      7.0 12.0       8.4  plot a graph of Position vs. Time, then draw the theoretical curve, Draw the best straight line you can through the origin and the plotted points. Try to leave about as many points above and below the line. This is the line of best fit. Find the slope of the best fit line on your graph.  Calculate the uncertainty of your line of best fit. Statistically, it is accepted to subtract the slope of the MAX line and the slope of the MIN line and divide by 2. This will give the uncertainty of the slope of the line of best fit.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Suppose an experiment were conducted on the stretching of a spring as a function of the force
applied to the spring yielding the data in the following table
Time (s) Position (m)
0.0       0.0
2.0       1.4
4.0      2.8
6.0        4.2
8.0       5.6
10.0      7.0
12.0       8.4 

plot a graph of Position vs. Time, then draw the theoretical curve, Draw the best straight line you can through the origin and the plotted points. Try to leave about as many points above and below the
line. This is the line of best fit.
Find the slope of the best fit line on your graph. 
Calculate the uncertainty of your line of best fit. Statistically, it is accepted to subtract the slope
of the MAX line and the slope of the MIN line and divide by 2. This will give the uncertainty of
the slope of the line of best fit.

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