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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).
Following data represent concentration of dissolved organic carbon (mg/L) collected from 20 samples of organic soil. Sample standard deviation is?
you interview 100 people about who their favorite rock band is. of those 100 80 replied that their favorite band is
the appropriate t-value to use when constructing a 95 confidence interval for a sample size of 12
The mean weight is 402.7 grams and the standard deviation 8.8 grams. What is the probability that the mean weight for a sample of 40 trout exceeds 405.5 grams?
Carry out test of independence to find out whether employee health insurance coverage is independent of size of company. Use α = 0.05 level of significance.
the following are body mass index bmi scores measured in 12 patients who are free of diabetes and participating in a
Stratum 2 contains 500 invoices, stratum 1,000 invoices, and stratum 4 contains 3,450 invoices. A sample of 500 sales invoices is needed. What type of sampling should you do? Why?
Formulate the appropriate null and alternative hypotheses to test the manufacturer's belief. Using the sample mean of 99.2, compute a 90% confidence interval. Show the computation, and interpret in one sentence the interval you compute.
According to the National Football League, the average salary for players for the 2010 season was about $1.9 million while the median salary is around $770,000. Why are both numbers reported? What might the difference between the two statistics me..
the following data represent the amount of sugar consumed in lbs. in a household during five randomly selected weeks.
an insurance company would like to estimate the average liability dollars that they pay out due to automobile accidents
if the government permanently increases the price of potato chips through a taxes how will the price change affect the
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