9. Find the equation of the least squares parabola for the following data: (0,2), (1,2), (2,...
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Find the equation of the least squares parabola for the following data: (0,2), (1,2), (2,4), (3,9) Then make a table that displays data point x-values, data point y-values, and the least square parabola values at data point x-values.
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5. Suppose that B = P-1AP. (a) Prove that A and B have the same eigenvalues. (b) Prove that if x is an eigenvector of A, then P-1x is an edigenvector of B. 6. Let A= 0.7 0.1 0.3 0.9 Find P and D such that A = PDP-1, where D is a diagonal matrix. 7. This is a continuation of the previous...
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Find the equation of the least squares line for the following data: (1,2), (2,4), (3,7), (4,8), (5,10) Then make a table that displays data point 2-values, data point y-values, and the least square line values at data point x-values.
are 2 and 3 correct
2) Find the equation of the least squares line.The paired data below consist of the costs of advertising 2) (in thousands of dollars) and the number of products sold (in thousands). Cost (x) 92 3 4 2 5 9 10 Number (y) 85 52 55 68 67 86 83 73 A) y -26.4-1.42x C) y 55.8+2.79x B) y 55.8-2.79x D) y 26.4 1.42x 3) Use the equation of the least squares line obtained in the...
2. (15) Give the standard form equation of the parabola with vertex = (1,2) and focus = (3, 2) b. the ellipse with center (-1,3), a focus at (-1,7) and a major axis point (1,8) c. the hyperbola with foci at (3,3), (3,-7) and vertices at (3,1), (3,-5). 3. (12) Identify the conic section and complete the square to give the standard equation given 3x2-10y +36x -20y+38 0 is 3 (24) Given the parametric equations x-Y-2, y-t,-2 4· a. Sketch...
Given the data (t1, b) = (-1,-4) (t2, b2) = (0,2) (t3, 63) = (1,2) (t4,64) = (2, -7), find the linear equation f(t) = cit+co that best fits f(ti) = bị. a.(5 points) Find the matrix A for which you can rephrase the problem as solving Ax* 2 2 -7 7 C1 for which x* = [e gives the least-square solution. Со b.(15 points) Solve the least-square problem and find cit+ Co.
9. (2 points) 4. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y 1 x2 9 y Oy2-36x x2 36 y Oy2 = -9x 5. Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7. (2 points) 1 x2 28 1 X = y2 28 -28y x2 Oy2 14x =
9. (2 points) 4. Find the...
7) Compute the least-squares regression equation for the given data set. Use a TI- 84 calculator. Round the slope and y -intercept to at least four decimal places. x 44 38 16 20 25 38 19 y 73 68 24 30 43 66 33 Send data to Excel Regression line equation: = y 8) Price of eggs and milk: The following table presents the average price in dollars for a dozen eggs and a gallon of milk for each month...
Given the following data, use least-squares regression to derive a trend equation: Period 1 2 3 4 5 6 Demand 6 8 5 8 7 13 The least-squares regression equation that shows the best relationship between demand and period is (round your responses to two decimal places): y = ? + ?x where y = demand and x = period