Find the local maximums, local minimums, and saddle points of the function f(x,y)=x^4+y^4-4xy+4. You should enter your points into the variables local_max, local_min, and saddle as matrices, in which n is the number of points in each category with columns x, y,  respectively

Q: Determine whether the set in P_2 is linearly independent.    S={x^2 , +1, 2 - 1, 2}

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Q: The least squares error of a candidate measures how well that candidate line fits the data: E(m) =…

A: For least square method we need two things. 1. data points (xi, yi)2. fitting model, yi' = mxi + c…

Q: The least squares line ŷ =10 + 5x describes the following coordinates: (1, 15), (2, 20), (3, 25),…

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Q: Find the production schedule for the technology matrix and demand vector given below: 0.5 0.1 A = D…

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Q: Find the least-squares line y = Bo + B1x that best fits the points (-3, -4), (-1, 1), (1,5), (3, 8)

A: Use least square method to solve it

Q: Explain Perpendicular Least Squares.

A: Introduction: The perpendicular least squares method is a special method of fitting a linear model…

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A: Given the points -4,0, -2, -2, 4,-9, 5, -8. Now,  x y x2 xy -4 0 16 0 -2 -2 4 4 4 -9 16 -36…

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A: We have to show that:  A= 4 * eye (4) - ones (4, 4) is not invertible

Q: Suppose you ran the regression of the following functional form: yi=b0 +b1xi+ei Where Yi is…

A: In the given regression equation, the dependent variable is touchdowns and the independent variable…

Q: Find the least squares approximating parabola for the given points. (1, 3), (2, −4), (3, 6), (4, 9)

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Q: Write GCD of 5555 and 99999 as a linear combination of 5555 and 99999 9= 1x 99999+18x5555 44446 x…

A: To write  GCD of 5555 and 99999 as a linear combination of 5555 and 99999

Q: A certain experiment produces the data (0, 1),(−1, 2),(1, 0.5),(2, −0.5). Find values for a, b, and…

A: Least square method:  The given equation is y=ax2+bx+c and normal equations are, ∑ y=an+b∑ x+c∑ x2∑x…

Q: Given the data points (-2,-3), (-1, 0), (0, 1), and (2, 7), find the parabola that best fits these…

A: The quadratic equation for a parabola is y=a+bx+cx2 and Its normal equations are given…

Q: 2. Derive the sum of squares decomposition for the two-factor model with interaction.

A: Please find the answer below. thank you.

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Q: 2) Consider a set of points {(-2,-18), (-1, -7), (0, -2), (1, -3), (2, -10)}. a) The least squares…

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Q: Suppose the (X,Y) pairs are: (1,5), (2, 3), (3, 4), (4,2), (5,3), (6, 1). Would the least squares…

A: The slope is the measure of the regression equation. It is a changing variable based on the…

Q: Find the production schedule for the technology matrix and demand vector given below: 0.2 A = 10.8…

A: Given that, Technology matrix isA=0.20.20.10.80.10.31.20.70.1and the demand vector isD=634881

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A: