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Questions on multiple linear regression models:
Suppose we fit the model y = X1β1+ ε when the true model is actually given by y = X1β2 + X2β2 + ε. For both models, assume E(ε) = 0 and Var(ε) = σ2I. where I is the identity matrix.
Find the expected value and variance of the ordinary least-squares estimate.
(Note here X,I are matrices, and y,β,ε are vectors since those are multiple linear models).
As a result of testing 20,00 electric bulbs manufactured by a company it was found that the lifetime of the bulbs was normally distributed with a mean of life of 2040 hours with standard deviation of 60 hours on the basis of the information estimate ..
your firm has 4 different manufacturing lines that each produce the same type of widget. there is a 95 percent chance
suppose that air pollution in a city is caused by the following four sources automobile exhaust a industrial exhaust i
according to the empirical rule if the data form a bell shaped normal distribution what percent of the observations
1. a matched pairs experiment compares the taste of instant versus fresh-brewed coffee. each subject tastes two
Each customer has probability p of being a home owner independently of all other customers. Let Y be the number of home owners registered. Show that Y~Poisson.
Use the sample data to construct a 95% confidence interval estimate of the difference between the two rates of lost baggage. Does there appear to be a difference?
explain the distinction between at least 3 out of 5 vs. at most 3 out of 5. identify other terminology or expressions
construct a line chart for the number of prior dui driving under the influence arrests received by a sample of jail
Many vehicles used in space travel are constructed with redundant systems to protect the flight crew and their equipment. Find the probability that this shuttle component functions successfully if n = 2.
Which is relatively better: a score of 81 on a psychology test or a score of 56 on an economics test? Scores on the psychology test have a mean of 87 and a standard deviation of 9.
an analyst is interested in testing whether four populations have equal means. the following sample data have been
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