A researcher runs an experiment to measure the impact a shor

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A researcher runs an experiment to measure the impact a short nap has on memory. 200 participants in the sample are allo

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A researcher runs an experiment to measure the impact a short nap has on memory. 200 participants in the sample are allowed to take a short nap of either 60 minutes or 75 minutes. After waking up, each of the participants takes a short test on short-term recall. Each participant is randomly assigned one of the examination times, based on the flip of a coin. Let Yi denote the number of points scored on the test by the i th participant (0cYic100), let Xi denote the amount of time for which the participant slept prior to taking the test (Xi = 60 or 75), and consider the regression model Yi = b0 + b1Xi + ui. a. Explain what the term ui represents. Why will different students have different values of ui? b. What is E(ui Xi )? Are the estimated coefficients unbiased? c. What concerns might you have about ensuring compliance among participants? d. The estimated regression is Yi = 55 + 0.17 Xi. i. Compute the estimated regression

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