The Primitive Roots. Kelly Rae Murray Stephen Small Eamonn Tweedy Anastasia Wong. Our Goal: my’’+ cy’ + ky=0. Fit data into a model to estimate parameters at a certain confidence level Find problem areas in order to discover the best possible model Create a better model with our data.
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Kelly Rae Murray
We found the maximum value of our data.
This became the initial point for our graph.
Set the time to begin at this point and end at 6 seconds.
Oscillation Around Zero
We found the mean of our graph, which initially was below zero.
Then we shifted our data up to oscillate around zero.Before We can Model…
95% confidence (-.71732,-.68267)
Standard Error =.008537
Sigma^2 = 1.0964e-010
K = k/m
95% confidence at (-1520.27,-1518.92)
Standard Error = .333Our Confidence IntervalsNon-Linear Least Square Results
Shows too much of a pattern.
The periodicity tells us that there are modes that are not being represented.
Seems to have a higher frequency at the beginning and end.
Residuals Vs. Fitted Value
Appears to be too much variation in the data.
Should be random around zero.
The higher spread at the beginning and end of the graph shows over-prediction and under-predictionTesting Our Residuals