In the OLS technique why we minimize E ɛ² instead of a) E e²; b) E ɛ ?

Q: Show that if x and y are skew symmetric, then x + y is skew symmetric.

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Q: If (X, Y) is uniformly distributed over the semicircle bounded by y = 1-x? and y = 0, find E(X/Y)…

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Q: evaluate using the appropriate method or combination of methods.

A: Let,

Q: Let X N (u,1) of size n. Obtain UMVUE for M.

A: We will use Lehmann-Scheffe theorem to find the uniformly minimum variance unbiased estimator for μ.

Q: If DB bisects Z CDA, then Z? = L_?_.

A: Given is that DB→ bisects ∠CDA. the bisection means dividing an angle in two equal parts.

Q: Find a way of shooting a ball from point D so that it returns to point D by bouncing each side of…

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Q: Grien V=In (xity?) show that dye

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Q: Why are the requirements np ≥ 10 and nq ≥ 10 include in the central limit theorem for proportions?…

A: Determine why the requirements np≥10 and nq≥10 include in the central limit theorem for proportions.…

Q: In grade level school of 220 Stcblente 1os stuents are in arts, 200Stuents lare on The sPOrts team…

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Q: espectively. It measured 2.0, 2.3, 2.5, 2.7 and 3.0 g/cm3. Kurtosis coefficie

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Q: Define the Rolle's Theorem?

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Q: Construct the fundamertal soluton G(x, E) -?G= S(x- E) X, E ER? with, as x -E00 or

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Q: find the vilue c for by filards method, given that dy

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Q: Show that S, (In x)? dx = e – 2

A: The detailed solution is as follows below:

Q: 3.5 30 21 Not drawn to scale. O SAS- Theorem O SA- Postulate O SSS- Theorem O AA- Theorem

A: There are 2 theorems for similiar triangles. SSS and AA theorem

Q: An electromagnetic wave does require a medium to travel. O True O False

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Q: PewHite F in sphethal cordmates and compute its diergence.

A: The divergence of F is 3

Q: Find the most general antiderivative. 7 9) SWi-Zndt

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Q: find the values of c that satisfy Rolle's Theorem

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Q: Find the equation of the line through P = (4, 12) such that the triangle bounded by this line and…

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Q: Is S = {a + b√(2) : a, b ∈ ℤ} dense in ℝ?

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Q: locally Lipschitz in (t,x)E[a, b]x D.

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Q: Let X and Y be independent and distributed as N(u, 1). Is T = X-Y sufficient?

A: According to factorization theorem, If the likelihood function L(x,θ) can be expressed in the form…

Q: ONLY parts G, H, and I please show all work

A: g)  s(t)  =  4 sinπx2Differentiating, we get Velocity function as s'(t)  =  2π cosπx2…

Q: Compute the dimension of V,(Tỷ – Tỷ, TẬT, – T†T,) C P³.

A: Given that X=ϕ is a topological space. We have to compute the dimensions of the following.…

Q: If u= In x, then 1- (In x)2 dx=?

A: Find your answer below

Q: Calculate / Ss (4xy + e- )dS, where S is the triangle in Figure 1 with vertices (0, 0, 3), (1,0, 2)…

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Q: What is the main difference between Jacobi's and Gauss-seidal?

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Q: Region ¥=1=sino jn 1-st q4adrant enclosed by the eardieid

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Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 15 integral…

A: We have to find value of integral by Simpson's rule.

Q: The diagonals of square LMNP intersect at K. Given that LK=1, find KN.: P %3D

A: Diagonal of square bisect each other

Q: Let V and W be finite - dimensionl vecter s pace over

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Q: matrisinin özdeğerleri aşağıdakilerden hangisidir? o {,-3} po {0,1} 9o {2,-글} {2, –}} d) o {2, –2}…

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Q: - seyi + avīj + () dt = 3 3

A: We have to perform integration by parts and then insert given limit

Q: B/let Flx)=[X]-X,x E(-2,2).which valuesof x o E(X) continuaus?

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Q: e vE dt 7laplare

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Q: 5.) Set up integral the out side the cirele e

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Q: △-マ= △Y AV MS A(4全)+) 山natn- fnbun %3D an)

A: Property a: ∆-∇=∆∇ Note that, ∇fx=fx-fx-h∆fx=fx+h-fx

Q: Let A:e? e be gioen ACX,の2-10 2=10, prove thet A Find the spectrom of A. is compact Jun

A: Given linear operator A:l2→l2 is defined by: Ax1,x2,…,xn,…=0,x12,x222,…,xn2n,…. (a). We Know that…

Q: Show the Complete S lu fwn i 3 ナ *

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Q: 7. Use Green's Theorem (and no other method) to show that the area of the triangle with vertices…

A: Greens theorem

Q: If u In x, then 1-(In x)2 dx =?

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Q: Why is it called the sandwich theorem?

A: If we have three sequences fn,gn, and hn and limn→∞fn=L=limn→∞hn then limn→∞gn=L.

Q: The diagonals of square LMNP intersect at K . Given that LK=1, find KN . 1 K KN =

A: For the following given question  Given,  LMNP is a square  and LK=1 then,

Q: Find the area of the inner loop of r = 3 + 4cose.

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Q: Having aeR and ɛ > 0. Define ɛ-neighborhood of “a"

A: Explanation of the answer is as follows

Q: асe of A is

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Q: b) Give a partition which divides I = [1,2] into n equal parts. %3D

A: Consider the Interval  [1,2]

Q: e){x*,x%,x}on(0,)

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Q: Consider a S = {x|x"=1} is S, equals to S?

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