Submit your excel solutions for each of the following problems.2. Use the least squares approximation to obtain a formula of the typeP (x) = Ae* from the following data.x 1 2P 7 11 17 2734

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Answered: 2. Use the least squares approximation…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
The population Pinmillions of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
Submit your excel solutions for each of the following problems. Find the polynomial of degree three for the following data. Also find P(-2). X 0 1 4 6 y 1 -1 1 -1 Use the least squares approximation to obtain a formula of the type from the following data. x 1 2 3 4 P 7 11 17 27
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Submit your excel solutions for each of the following problems. 2. Use the least squares approximation to obtain a formula of the type P(x) = Aekx from the following data. %3D 12 7 11 17 27 3. 4 P.
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Consider the following data set Xị -2 1 3 Yi 2 -1 1 And the model y = ao + a¿Sin(x) In the sense of the least square, which one of the following two choices for the model parameters fits better the data set? 1. ao = -4.1 and a, = -2.7 2. ao = -1.9 and a, = 0.1 Give detailed calculations.
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Consider the following: (a) Suppose you are given the following x, y data pairs. x 5 4 6 y 1 5 8 Find the least-squares equation for these data. (Use 3 decimal places.) = + x (b) Now suppose you are given these x, y data pairs. x 1 5 8 y 5 4 6 Find the least-squares equation for these data. (Use 3 decimal places.) y hat = + x (c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? (d) Solve your answer from part (a) for x. (Use 3 decimal places.) x = + y Do you get the least-squares equation of part (b) with the symbols x and y exchanged?Yes or No? (e) In general, suppose we have the least-squares equation y = a + bx for a set of data pairs x, y. If we solve this equation for x, will we necessarily get the least-squares equation for the set of data pairs y, x, (with x and y exchanged)? Explain using parts (a) through (d). Switching x and y values will produce the same least-squares equation…
The table below lists the height h (in cm), the age a (in years), the gender g (1="Male", 0="Female"), and the weight w (in kg) of some college students. Height Age Gender Weight 183 20 159 21 177 19 168 19 161 22 We wish to fit a linear function of the form to these data. Find the best approximation of this form, using least squares. CO = C1 = C3 || || 1 0 1 0 0 f(t) = co + c₁h+c₂a + c39 80 48 75 59 50

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2. Use the least squares approximation to obtain a formula of the type P (x) = Ae* from the following data. x 1 |2 3 4 P 7 11 | 17 27