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The true regression model is Y1
pendent N (0, 25).
a. Generate II independent random numbers from N(O, 25). Use the first random number. £0, obtain the 10 error terms ε1..... ε10. and then calculate the 10 observations YI .........Y10 corresponding to X1 = I. X2 = 2 ..... X 10 = 10. Fit a linear regression function by ordinary least squares and calculate MSE.
b. Repeat part (a) 100 times, using new random numbers each time.
c. Calculate the mean of the 100 estimates of b1' Does it appear that hi is an unbiased destination of ß1 despite the presence of positive autocorrelation?
d. Calculate the mean of the 100 estimates of MSE. Does it appear that MSE is a biased' estimator of σ2? If so. does the magnitude of the bias appear to be small or large?
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With your health topic and data set in mind, and the instructor feedback you received on your proposed methods, conduct the appropriate statistical analyses using SPSS and review the output obtained. Reflect on the significance of the results. Be ..
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We assume that each parent is equally likely to give either of the two alleles and that, if either one or two of the alleles in a pair is dominant (R), the offspring will have red flowers. What is the probability that an offspring has at least one..
Assume that the number of Telephone calls arriving in an office during a 15minute period has a Poisson distribution with mean number of calls equal 5.
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