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Principal components can be used as multivariate indices, for example, when evaluating toxicity in phase III clinical trials for cancer treatment. The following table of n = 6 observations for p = 3 random variables is given by Herson (1980).
(a) Compute the PC correlation loadings, given that all three variables are standardized to unit length. (b) Compute the percentage of variance which all three PCs explain of the observed variables.
(c) Compute the percentage of covariance which all three PCs explain of the observed variables.
The radius of the hole and the radius of the shaft. Let the random variable X denote the clearance, in millimeters. The probability density function of X is?
Find a 95% confidence interval for the difference between this year and last year in the mean number of units sold at all retail stores and interpret the results.
The time it takes to process phone orders in a small florist/gift shop is normallydistributed with a mean of 6 minutes and a standard deviation of 1.24 minutes.a. What cutoff value would separate the 2.5% of orders that take the most time topr..
prove that the regression r2 is identical to the square of the correlation coefficient between two variables y and x.
SMALL BUSINESS DILEMMA Ensuring Payment for Products Exported by the Sports Exports CompanyThe Sports Exports Company produces footballs and exports them to a distributor in the United Kingdom.
what is the probability that the mean of a random sample will be equal to or greater than the 97.5 percentile of its
What quantity would you use for the lower limit of the initial class? Using your responses to parts (a), (b), and (c), create a frequency distribution. Identify the appearance of the frequency distribution.
the distribution of annual salaries for 52 employees in a small manufacturing company has the following averages the
They decide to sample some fast-food restaurants currently operating to estimate the monthly cost of electricity. They want to be 90% confident of their results and want the error of the interval estimate to be no more than $100.
how do you find the pooled standard deviation in an anova table?a. it is the mse.b. it is the msg.c. it is the square
Develop a pie chart to summarize these contributions. Develop a bar chart to summarize these contributions and why is it appropriate to construct a bar chart for these data instead of a histogram?
1. Given the mean equals to 33.1, and s = 1.56, compute the 99 percent and 90 percent confidence intervals for sample size n = 121. 2. Use one example to explain the differences between Type I error and Type II error and their relationship to the ..
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