4. What is the purpose to calculate the adjusted coefficient of determination?

1. What is the central limit theorem?

2. What is a consistent estimator?

3. What is a type II error?

5. What is the main difference between linear regression and logistic regression?

6. What is the purpose to conduct the Kolmogorov-Smirnov test?

(1) Assume p = 0.5. Use the central limit theorem to estimate the probability that in a poll of 25 people, at least 14 people support the referendum. Your answer to this problem should be a decimal (up to thousandths place).

(2) With p unknown and n the number of random people polled, let be the fraction of the polled people who support the referendum. What is the smallest sample size n in order to have a 90% confidence that is within 0.01 of the true value of p? Your answer to this problem should be an integer

2. Someone claims to have found a long-lost work by Jane Austen. She asks you to decide whetheror not the book was actually written by Austen. You buy a copy of Sense and Sensibility and count thefrequencies of certain common words on some randomly selected pages. You do the same thing for the‘long-lost work’. You get the following table of counts.Using this data, set up and evaluate a significance test of the claim that the long-lost book is by Jane Austen. Use a significance level of 0.1.

(1) Find the least square estimator for c and d in the Model 1.

(2) Find the least square estimator for c and d in the Model 2.

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