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Suppose in the model yi = B0 + B1xi + ei, where i = 1; ; n, E(ei) = 0, var(ei) = sigma square, the measurements xi were in inches and we would like to write the model in centimeters, say, zi. If one inch is equal to c centimeters (c is known), we can write the above model as follows yi = B0*+B1*Zi+ei
a. Suppose B^0 and B^1(beta hut 0 and beta hut 1) are the least squares estimates of B0 and B1 of the first model. Find the estimates of B0* and B1* in terms of B^0 and B^1.
b. Show that the value of R2(R square,I do not know what is this) remains the same for both models.
c. Find the variance of B^1 *.
Obtain the simple linear regression equation, then analyze the residuals by (a) constructing a histogram
Formulate this statement as a multiple regression model (form only, without parameter estimation).
Hypothesis test for the difference between two means - To make the data comparable, certain features, such as the deductible amount and limits of liability, are standardized.
Scores on a test have a mean of 73 and Q3 is 81. The scores have a distribution that is approximately normal. Find P90.
Be sure to show whether you use the t- or z- value, and what value you use. Interpret the confidence interval in a single sentence. In another sentence, state why you used either the "t" or the "z".
Identify the type of sampling (random, systematic, convenience, stratified, cluster) used when a sample of people who smoke is obtained as described below.
Describe the difference between sample and a sampling distribution. Your reply must be in complete sentences and you may use sketches to help you.
Promotion occurs on average every 10 days in a large corporation. What is the probability that the next promotion will occur within:
Are the following statements a valid pair of null and alternative hypothesis?
Describe your answer to a person who has never had a course in statistics.
Supposing that there is no cost of entering the sweepstakes, find the expected value of the amount won for one entry. Determine the expected value if the cost of entering this sweepstakes is the cost of a postage stamp. Is it worth entering the cont..
Multiple comparison procedures are going to be done using the Bonferroni method with = 0.05. The value of t** is 2.4667. Which of the following is the appropriate conclusion from carrying out these multiple comparisons?
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