6.) More advanced error analysis: (Read page 4 of Error Analysis handout.) a.) Copy your linear fit parameters above into the table below and continue through to computing your 95% confidence interval. Include units! σ 2σ 95% confidence interval: lower bound for m (mmin): (unit) upper bound for m (mmax): (unit) Q4.) Does the theoretical value fall inside or outside this interval? What can you then say about how our experiment compares vs. theory? Explain. (Read pages 4 and 5 of Error Analysis hand out). Final Questions, Exercise II: Q5.) Compare your answer from Advanced Error Analysis to your answer from Basic Error Analysis. Which considers more information to make its determination? What is that information? Which should you trust more? Discuss. and in your own words Q6.) Restate the coefficient of determination: R² = explain what this value tells you: (Read page 7 of How to use Excel). 4.) Use your linear fit parameters above to state the best estimate of the equation for this line. Remember the equation of the line is y = mx +b where m is the slope and b is the y-intercept. Include units. v(t) (m/s) = Error Analysis: t+ The theoretical value of the slope is 20.45 m/s². 5.) Basic error analysis: (Read page 2 of Error Analysis handout). Compute a % error between the theory value and the most probable experimental value . % error = Q2.) Is the % error positive or negative? What does that tell you? (Read page 3 of Error Analysis handout). Q3.) Can you say if this % error value is "small" or "large"? So can you say if there evidence of discrepancy or no? Do you see the problem with this basic approach?
6.) More advanced error analysis: (Read page 4 of Error Analysis handout.) a.) Copy your linear fit parameters above into the table below and continue through to computing your 95% confidence interval. Include units! σ 2σ 95% confidence interval: lower bound for m (mmin): (unit) upper bound for m (mmax): (unit) Q4.) Does the theoretical value fall inside or outside this interval? What can you then say about how our experiment compares vs. theory? Explain. (Read pages 4 and 5 of Error Analysis hand out). Final Questions, Exercise II: Q5.) Compare your answer from Advanced Error Analysis to your answer from Basic Error Analysis. Which considers more information to make its determination? What is that information? Which should you trust more? Discuss. and in your own words Q6.) Restate the coefficient of determination: R² = explain what this value tells you: (Read page 7 of How to use Excel). 4.) Use your linear fit parameters above to state the best estimate of the equation for this line. Remember the equation of the line is y = mx +b where m is the slope and b is the y-intercept. Include units. v(t) (m/s) = Error Analysis: t+ The theoretical value of the slope is 20.45 m/s². 5.) Basic error analysis: (Read page 2 of Error Analysis handout). Compute a % error between the theory value and the most probable experimental value . % error = Q2.) Is the % error positive or negative? What does that tell you? (Read page 3 of Error Analysis handout). Q3.) Can you say if this % error value is "small" or "large"? So can you say if there evidence of discrepancy or no? Do you see the problem with this basic approach?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
Transcribed Image Text:6.) More advanced error analysis: (Read page 4 of Error Analysis handout.)
a.) Copy your linear fit parameters above into the table below and continue through to
computing your 95% confidence interval. Include units!
<m>
σ<m>
2σ<m>
95% confidence interval:
lower bound for m (mmin):
(unit)
upper bound for m (mmax):
(unit)
Q4.) Does the theoretical value fall inside or outside this interval? What can you then say
about how our experiment compares vs. theory? Explain. (Read pages 4 and 5 of Error
Analysis hand out).
Final Questions, Exercise II:
Q5.) Compare your answer from Advanced Error Analysis to your answer from Basic
Error Analysis. Which considers more information to make its determination? What is
that information? Which should you trust more? Discuss.
and in your own words
Q6.) Restate the coefficient of determination: R² =
explain what this value tells you: (Read page 7 of How to use Excel).
Transcribed Image Text:4.) Use your linear fit parameters above to state the best estimate of the equation for this
line. Remember the equation of the line is y = mx +b where m is the slope and b is the
y-intercept. Include units.
v(t) (m/s) =
Error Analysis:
t+
The theoretical value of the slope is 20.45 m/s².
5.) Basic error analysis: (Read page 2 of Error Analysis handout).
Compute a % error between the theory value and
the most probable experimental value <m>.
% error =
Q2.) Is the % error positive or negative? What does that tell you? (Read page 3 of Error
Analysis handout).
Q3.) Can you say if this % error value is "small" or "large"? So can you say if there
evidence of discrepancy or no? Do you see the problem with this basic approach?
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