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Logistic Regression Model

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Question 1.
The logistic regression model produced the following table of predictions:

a. Find the likelihood of the data (true values) using your predictions.
b. Find the log-likelihood of the data using the probabilities from your predictions.
c. What is the null model prediction? (single prediction for all cases using no predictors)
d. What is the likelihood of the data using the null model.

Question 2.
You've collected the runtimes for two different scheduling algorithms. Time to figure out which one is better using the permutation test!

a. If the numbers were randomly split between smpl1 and smpl2, how many such splits are possible?
b. If the numbers were randomly split between smpl1 and smpl2, what would be the probability to get obtain the above data?
c. You've plotted the histogram of the difference using the permutation test. Explain how would you make you conclusions using the histogram below.

d. How would you find a p-value?

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Solution Summary

The Solution uses the logistic regression model with predictions to find the likelihood of the data, and uses the permutations test to find the better of two scheduling algorithms.

Solution provided by:
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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