Mathematics, 27.11.2019 07:31 xatziry1717
In class we mentioned for a simple linear regression model, the corresponding σ 2 is estimated as ˆσ 2 = pn i=1(yi − yˆi) 2 n − 2 . show the estimator is unbiased by following the steps below. (a) show that cov(yi , yˆi) = σ 2 [ 1 n + (xi−x) 2 sxx ]. (b) show that var(yi − yˆi) = σ 2 [1 − 1 n − (xi−x) 2 sxx ]. (c) show that e( pn i=1(yi − yˆi) 2 ) = (n − 2)σ 2 . hint: cov(ax + by, cw + dv ) = accov(x, w) + adcov(x, v ) + bccov(y, w) + bdcov(y, v ), where a, b, c, d are constants and x, y, w, v are random variables.
Answers: 1
Mathematics, 21.06.2019 13:40
1c-2 m405 what values are needed to make each expression a perfect square trinomial? 32 + 2x+ 2-20x + 22+5x+
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Mathematics, 21.06.2019 14:00
Suppose a man is heterozygous for heterochromia, an autosomal dominant disorder which causes two different‑colored eyes in an individual, produced 25‑offspring with his normal‑eyed wife. of their children, 15 were heterochromatic and 10 were‑normal. calculate the chi‑square value for this observation.
Answers: 1
Mathematics, 21.06.2019 19:00
The annual snowfall in a town has a mean of 38 inches and a standard deviation of 10 inches. last year there were 63 inches of snow. find the number of standard deviations from the mean that is, rounded to two decimal places. 0.44 standard deviations below the mean 2.50 standard deviations below the mean 0.44 standard deviations above the mean 2.50 standard deviations above the mean
Answers: 3
In class we mentioned for a simple linear regression model, the corresponding σ 2 is estimated as ˆσ...
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