H.W.3: Find a 4th order equation to fit the following set of data using: a) Direct fit polynomial. b) Least square method. X y -11 0 - 11/2 -1 0 0 11/2 1 II 0

Q: Find y(4.5) if a second-degree polynomial is fitted to the following data: (1, 1.1), (1.5, 1.3), (2,…

A: x y 1 1.1 1.5 1.3 2 1.6 2.5 2 3 2.7 3.5 3.4 4 4.1 We need to find the second degree…

Q: ● Find the best fit equation for the second-degree polynomial of the form y = ao + a₁x + a₂x² given…

A: We need to fit the polynomial y=a0+a1x+a2x2 for the data x y 1 -9 3 3 4 16 5 29 7 70…

Q: Find the quadratic y=ax2+bx+c that best fits the data points (−2,−37),(−1,63),(0,−43),(1,−5),(2,2) .…

A: To find the quadratic equation that best fits the given data points, we need to solve for the…

Q: . Find the polynomial of degree three for the following data using excel. Also find P(-2). X 0 1 |4…

A: We will find out the required value.

Q: A constant temperature, pressure-volume thermodynamic process has the following data: Pressure 420…

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Q: 2. A) Create the user-defined function LinearRegression and CubicRegression find and plot (same…

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Q: In a study to determine the effect of vehicle weight in tons (x1) and engine displacement in in³…

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Q: The table gives performance data for a boat powered by a certain outboard motor. Find a quadratic…

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Q: 5. Find the best fit by a first degree polynomial for the following data: x -3 -1 0 2 y 8 5 4 1

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Q: The population of a certain country was approximately 50 million in 1900, 150 million in 1950, and…

A: Given that the data The population of a certain country was approximately 50 million in 1900, 150…

Q: The population of a certain country was approximately 50 million in 1900, 225 million in 1950, and…

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Q: 2.0 Fit a cubic polynomial to the following data: 3 5 8 2.2 4 12 y 1.6 3.6 4.4 3.4 2.8 3.8 4.6

A: x y 3 1.6 4 3.6 5 4.4 7 3.4 8 2.2 9 2.8 11 3.8 12 4.6 cubic polynomial is of the…

Q: Determine the quadratic equation that best fits the given set of data: (1, 2), (2, 3). (4, 3),…

A: The provided data points are interpreted in the form of as follows:1223436478

Q: A constant temperature, pressure-volume thermodynamic process has the following data: Pressure 420…

A: We need to estimate pressure at point V=1.88 m3 so we take 3 points which are closer to 1.88  The…

Q: Q// Fit a second-order polynomial to the following data: Y 9 8 3 7 9 11 9 6 1 7 1 3 10 9. 1 a. y =…

A: Given x y 9 8 0 3 7 9 11 9 6 1 0 0 0 7 1 3 8 10 9 1

Q: Approximate the function that represents the data (2,–2), (4,2), (5,3) by a cubic spline.

A: .

Q: An open-top box is to be constructed from a sheet of tin that measures 18 inches by 10 inches by…

A: Mensuration deals with the measurement of areas and volumes of plane and solid figures. Solids are…

Q: Determine the 3rd degree polynomial which passes through the following points: 3 1 1 7 y 25

A: