Assume that you are given a set of points and you want to find the regression line for this data. In other words, you are given a linear system Xa = Y with no solution and you want to find a vector a such that Xa is the vector in the column space of X closest to Y in the Euclidean norm. Explain how to solve this problem using a QR factorization of X.

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A: Given problem :-

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A: This question is based on diffrentiation chain rule.

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A: We know that integration power rule is given as - Integration of xn is nxn-1.   Here i attached the…

Q: 1. 28 V14 32 2. 3 1 3. 135 3 [(4 + 45 t2) z - 8]

A: First simplify the first and second expression then solve third

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A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

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A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost the…

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A: We are allow to solve only three subpart.  If you want rest of part please upload separately

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A: Given     write

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A: Here is the solution:

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Q: e* +cosx+sin.x– 2 3. lim xsin' x

A: As per our guidelines, we are supposed to answer?️ only one question. Kindly repost other questions…

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Q: POS jma- 3 d 1 sin t dt %3| dx 1 1 (A) – x sin(x²) (B) sin(x²) (C) x sin(x²) (D) –sin(x²) ов O O O O

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Q: Question 3 > Use part I of the Fundamental Theorem of Calculus to find the derivative of 14 dt f'(x)…

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A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

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A: Solving the problem by finding the value of x.

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Q: Q21 - In simpson's 1/3rule the intervals must be b) odd c) non of them 3 [2 13 -61 A=2, 2= -2 b) =2,…

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Q: O Use polar coordinates to evaluate the integral V2² + y²dxdy. -V9-y2 got sdi wolod bas sitt od

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Q: 7) A rectangle has its two lower corners on the x-axis and its two upper corners on the curve…

A: Follow the procedure given below.