The least squares error of a candidate measures how well that candidate line fits the data: E(m) = (yı – mx1)² + (y2 – mx2)² + .… ·+ (y7 – mx7)2 %3D Each term in the sum above represents the square of the distance between an actual data point Y; and the y-value of the candidate line at at x;. Why is this error a function of m?

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (B) 2y³ + 2x²…

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Q: Find the equation of the normal line (NL) to the graph f(x)=x³ – 4x atx = 3 .

A: We need to find derivative.

Q: 5Find the Orthogonal trajectories of the family of r=aeº

A: Question:- Find the orthogorial trajectories of the family of r=aeθ ?Solution :- We have r=aeθ -(i)…

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

Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (F) 2y³ + x³…

A: Introduction: An orthogonal trajectory of the family is any curve that cuts each member of a…

Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) ³ + 3x² = C (B) 2y³ + 2x² =…

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Q: 4) Find the orthogonal trajectories of the family of curves

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Q: The table below lists the height h (in cm), the age a (in years), the gender g (0="Female",…

A: The given model is w=c0+c1h+c2a+c3g.

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Q: Find the coefficients a,b in the function f(x)=ax+b so that (f(x1)-y1)^2+(f(x2)-y2)^2+(f(x3)-y3)^2…

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Q: The regression function r(x) = E(Y|X = x) minimizes E(E((Y − r(X))^2)). Is this true or false?

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Q: 5. The linear least squares approximation which best fits the curve y= |x | over the interval -1 ≤x≤…

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Q: 5. The linear least squares approximation which best fits the curve y= |x | over the interval -1 ≤x≤…

A: Sol  Take Three point between -1 to 1 Straight line equation is y=a+bx. Equation of straight line is…

Q: The table below lists the height h (in cm), the age a (in years), the gender g (0="Female",…

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Q: 1. Use the method of least squares to fit the curve to the following table of values: x0.1 02 0.4…

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Q: The graph of the function f is given. y 32 24 y3D fx) 16 8 16 24 32 40 48 (a) Use six rectangles to…

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Q: 5. Consider the same data points (t, y) t 1 2 4 8. Construct a linear polynomial that best fits the…

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Q: Use least-squares regression to fit a straight line y = f(x) = Ax+B  to:   xi -8 -3 0 4 6 yi 7 4 2…

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Q: Fit a linear function of the form f(t) = co+ cit to the data points (-2, 5), (0,0). (2, 1), using…

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Q: The table below lists the height h (in cm), the age a (in years), the gender g (0="Female",…

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Q: Find the maximum likelihood estimator for θ in the pdf f(y; θ) = 2y/(1 − θ^2), θ ≤ y ≤ 1.

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Q: þse Excelto solve this problem. Use the least squares approximation to obtain a formula of the type…

A: To fit an exponential curve y=aebx by the method of least squares, take logarithm on both sides of…

Q: (6) Find the orthogonal trajectories for the given families of curves 2x2 – 7y = c.

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Q: Q#7) compare the maximum error, average error, and RMS error for the approximation f(x) = x³ – 3x to…

A: Average error- The average error or the mean error for n observations is given as, Root mean square…

Q: For the points given (1, 5), (2, 7), (3, 6), (4, 10) use partial derivatives to obtain the formula…

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Q: a) In regression analysis, to obtain the least square estimators of a and B, the SSR of Squares of…

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Q: S iS weignt of Potassium bromide which will dissolve 100 gm of water at T°C. Fit an equation of the…

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Q: Consider the data given in the table: -1 1. Find the least square approximation function in the form…

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (B) 2y³ + 2x²…

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Q: 44/ For the set of data ( x, y ) y 4 8. 8. 7 8. - 12 Find the Residual value of y – ŷ for each of…

A: The least square line and residuals are given below

Q: Use the Karush-Kuhn-Tucker method for the below optimisation problem and discuss any conclusions…

A: Given problem of minimization is Min. fx1,x2=x1x2+4x1+x22s.t.    x1+2x2≥20                x1,x2≥0

Q: The data below were collected by a chemical engineer. Y is filtration time, x_1 is temperature, and…

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Q: 1. Find the orthogonal trajectories of the given family of curves: a. Circles through the origin…

A: As per the company rule, we are supposed to solve only one problem with a max of three subparts.…

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Q: The orthogonal trajectories of a + 9 is where a being r = parameter.

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Q: Consider the data given in the table: -1 1 1 Find the least square approximation function in the…

A: Given the table is -1 0 1 1 0 3

Q: The data below obtained from the experiment: 1.5 1.8 2.4 2.7 3.2 3.6 f(x) | 0.7555 0.6206 0.5052…

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Q: Consider the regression model Y; = B1X11 + B2X2¡ + uj for i = 1,..., n. %3D • Specify the least…

A: Given- Consider the following regression model Y₁ =B₁X₁₁ + B₂X21+U₂ for i=1,2,...,n Consider the…

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Q: According to the Florida Agency for Workforce, the monthly average number of unemployment claims in…

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