2. Use the least squares approximation to obtain a formula of the type P(x) = Aek* from the following data. x 1 2 3 4 P 7 11 17 27

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A: Consider the provided question, Compute Au and compare with b.

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A: given A=QR where  Q=121-1021-10-2112011-20 R=11101-1001000 also Q is orthogonal  to find - the least…

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A: It is an important part of statistics . It is widely used .

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A: Note that I used R software for my calculations.  Regression analysis

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Q: Use the least squares approximation to obtain a formula of the type P(x) = Aekx from the following…

A: The least-square regression technique is used to derive an equation such that the data set of x and…

Q: 2. Let [1 o] 2 1 B = 3 2 Find a least squares solution of the SLE Bx = -1 1

A: given,                  and Bx=3-11

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Q: In Exercise, a QRfactorization of A is given. Use it to find a least squares solution of Ax = b.

A: Given: A=212011 Q=231323-231323 R=3101 b=23-1 Determine Q transpose. QT=23231313-2323

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Q: 3- Find the least squares fit of the form y = a, + a,x² to the following data X -1 1 2 y 2 5 3 0

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A:

Q: Consider the following data: r|-1.1 4.0 2.5 3.0 -1.3 1.1 5.1 2.1 4.6 3.2 1.9 12.1 8.1. 3.6 Find: (a)…

A: Given- Consider the following data:  x -1.1 4.0 2.5 3.0 -1.3 1.1 5.1 y 2.1 4.6 3.2 1.9 12.1 8.1…

Q: 1. Use Least Square Regression to fit y = ax to 2 3 4 6 7 8. 1.5 2 3 4 5 8 10 13

A:

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A: Given, X Y 0 1 0.15 1.004 0.31 1.031 0.5 1.117 0.6 1.223 0.75 1.422

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A: Given that: Set of data points=ti,yi, t y 1 10 2 5.49 3 0.89 4 -0.14 5 -1.07 6 0.84…

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A: Answerr

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Q: 2. Use the least squares approximation to obtain a formula of the type P (x) = Ae* from the…

A:

Q: 1.3 0.9716 1.5 1.4117 1.2 f (x). 1.1 0.6133 1.4 1.1814 0.7822 From problem 1. fit a curve using the…

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Q: Find a least squares solution of Ax = b by constructing and solving the normal equations. 3 1 A 1 ,…

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A: Orthogonal projector into the column space of A is given by Pa=A(ATA)-1AT where ATis A transposed

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 3. Consider the following table. 1.6 2.4 3.0 4.7 2.1 6.841 8.794 9.921 12.147 3.65 4.25 14.436…

A: We will use the basic knowledge of numerical analysis to answer both the parts of this question…