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Let S = XTX be the sample covariance matrix where L and P are latent roots and vectors of XTX respectively. Prove that S has latent root and latent vectors P. Using this result show that correlation loadings of S are given by
where si is the ith diagonal element of S, and consequently correlation loadings are the same for both XTX and S. Show also that XTX and S possess the same standardized PC scores, but that unstandardized scores differ.
historically 1.3 of division 1 football starting players get pro contracts.a of the 72 senior starting players in a
Perform an exponential smoothing forecast with α=0.3 with the following data. Use the demand for the month of January for the initial forecast.
the president of a company has a hunch that there is a .80 probability that the company will be successful in marketing
Using a spreadsheet, create a table that shows the relationship among the units of heights of people in centimeters, inches and feet in the range of 150cm to 2m. Use increments of 5cm.
The weight of an almond is normally distributed with mean 0.05 ounce and standard deviation of 0.015 ounce. Find the probability that a package of 100 almonds will weigh between 4.3 and 5.3 ounces.
What is the probability that the average time spent per customer will be at least 3 minutes?
Establish a 99% confidence interval for the difference in the proportion of suburban and urban housewives who own IPod.
A random sample of 49 employees took a computer literacy test. The sample resulted in a mean score of 75 with a standard deviation of 21. Estimate the standard error of the mean.
suppose you were given the task of estimating the proportion of drivers in troy al who text while they drive. discuss
Smart Banking Corp. can borrow $5 million at 6 percent annualized. It can use the proceeds to invest in Canadian dollars at 9 percent annualized over a 6-day period. The Canadian dollar is worth $.95 and is expected to be worth $.94 in 6 days.
The data are stored in file Xm13-03. Can we infer that finance majors obtain higher salary offers than do marketing majors among MBAs?. What"s happening here?
the age distribution of students at a community college is given below. age years number of students f under 21 2065
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