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Bernoulli’s Bums

This analysis focuses on the parameter estimation of the Bernoulli's Bums model, evaluating the estimates for constants C and K along with their confidence intervals. Initial guesses were C = -0.8 and K = -200, with model estimates adjusted to C = -1.035338 and K = -1555.411. The study includes a comparison of fitted versus residuals and reveals that the beam model significantly improves the estimation accuracy. Further investigations are suggested to potentially uncover an even more effective model.

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Bernoulli’s Bums

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  1. Bernoulli’s Bums Robert Benim Adam Gerdes Dave Kofron Aatekah Owais

  2. Parameter Estimation • C = c/m Guessed C = -0.8 Model Estimate C = -1.035338 • K = k/m Guessed K =-200 Model Estimate K = -1555.411

  3. Plot of Data and Guessed Model

  4. Plot of Data and Optimized Model

  5. Confidence Intervals and Standard Error • Confidence Interval for C -1.072 to -0.999 S.E. = 0.01821 • Confidence Interval for K -1556.849 to -1553.973 S.E. = 0.7189 • Sigma^2=1.6081e-10

  6. Fitted vs. Residuals

  7. Time vs. Residual

  8. Normality, or lack thereof

  9. Beam Model • In comparison, the beam model was a drastic improvement • Further investigation could reveal an even more amazingly awesome model.

  10. Thank you

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