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Question - Recall the Power function:
Power(ωk) = (t=1ΣnXtcos(2 πωkt))2 + (t=1Σn Xt sin(2πωkt))2
Show that the power measures the squared correlation between the data X = (Xt, t = 1,..., n)' and the sinusoidal. That is, show that Power (ωk) = Ak · ρ^2 (X, Uk) + Bk · ρ^2 (X, Vk) where Uk = (cos(2 πωkt), t = 1, . . . , n)' and Vk = (sin(2 πωkt) t = 1,...,n)' , and p^(X, Y) is the sample correlation between the n-dim vectors X and Y. Also, what are Ak and Bk?
In a sample batch of 52 mechanical pencils it is assumed that 20 are defective. If 3 mechanical pencils are randomly selected, what is the probability that none of them are defective?
sean caught a prize fish last weekend. he was going to measure it but realized that his ruler was not long enough. he
Set up an appropriate probability space. Which is larger, (a) the probability of having a full house given that the first 2 cards you've dealt have the same denomination, or (b) the probability of having a full house given that there exist 2 cards
John can rinse 70 of them in minutes by himself. It will take his friend Bob 105 minutes to rinse these dishes. How long will it take them if they rinse these 630 dishes together?
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The stem-and-leaf plots compare the ages of 30 actors and actresses at the time they won an award.
the sale price of the jacket
require a 150-300-word response to the following discussion questionhow many solution sets do systems of linear
Prove that f is dierentiable at x = 0 and that f (0) = 0. Hint: Write down the limit you are trying to show to prove that the derivative at 0 exists.
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