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Consider you estimate the following regression model, y = α + βx + u
where y is the dependent variable, x is the independent variable and u is the error term.
(a) Explain the difference between correlation and regression and explain the assumptions of the regression model.
(b) What are the interpretation of α and β?
(c) How would you estimate the unknown population parameters?
(d) What are the statistical properties of the method you proposed?
Let X be the number of correct guesses by your friend in the 100 trials and Use the Normal approximation with the continuity correction - Which of the following might be reasonably modeled by the binomial distribution
Suppose that the scores of architects on a particular creativity test are normally distributed. What percentage of architects have Z scores? a. above .10; b. below .10
A researcher plans to compare two treatment conditions by measuring one sample in treatment 1 and a second sample in treatment 2. The researcher will then compare the scores for the two treatments. If there is a difference between the two groups o..
In a sample of 55 mice, a biologist found that 42% were able to run a maze in 30 second or less. Find the 90% limit for the population proportion of mice who can run a maze in 30 second or less.
An article in Baltimore Sun claimed that the typical supermarket trip takes a mean of 22 minutes. Suppose that in an effort to test this claim, you select a sample of 50 shoppers at a Baltimore City Giant.
At the 0,05 level, can we conclude that women think men are less kind, gentle, and thoughtful in the later survey compared with the earlier one?
Drug Store News (September2002) provided data on annual pharmacy sales for the leading pharmacy retailers in the United States. Show a stem-and-leaf display.
Assuming the sigma of 200 was actually the standard deviation for the sample, recalculate the interval estimate. Discuss how this changed your result from that in part b.
Schlepsi has contracted with AluminiCorp to produce special beverage cans for an upcoming promotion. They want 25% of the Schlepsi cans produced by AluminiCorp to be imprinted with the phrase 'A Winner is You!' along with a promotion code for the ..
Prepare a mixed integer programming model for this problem.
What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained?
IQ score in this sample is . If the organization's claim is correct, what is the probability of having a sample mean of or less for a random sample of this size?
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