Fit y= Ax2 to the following data: (0.5, 0.7), (1, 3.4), (1.5, 7.2), (2, 12.4), (2.5,...

Fit y= Ax² to the following data: (0.5, 0.7), (1, 3.4), (1.5, 7.2), (2, 12.4), (2.5, 20.1)

Solutions

Expert Solution

Hey everything can be found with just simple command in R.

The fitted regression equation will be y=0.974974+0.004223x2.

The residuals with respect to each of the five observations are given in the summary in R.

Also the F statistic 12.3 suggests that the regression is significant,that means x2 should be included in the model because the hypothesis that it's coefficient is 0 is rejected.

That means it's coefficient is not zero.

Also R2 is high,hence the fit is good or the change in y is explained well by x2.

R2 (for this model where there is only one regressor)is the change in y which is explained by the linear regression equation of y on x2.

For knowing anything else specifically please comment.

orchestra answered 2 years ago

Next > < Previous

Related Solutions

Consider the IVP: y'=ty-2, y(1)=1.5 Use the following numerical methods to approximate y(2.5), using a stepsize...

Consider the IVP: y'=ty-2, y(1)=1.5 Use the following numerical methods to approximate y(2.5), using a stepsize of h=0.5. a. Euler's method. b. Euler's improved method. c. Runge-Kutta method

Consider the following. x 1 2.5 3 4 5 1.5 y 1.5 2.2 3.5 3 4...

Consider the following. x 1 2.5 3 4 5 1.5 y 1.5 2.2 3.5 3 4 2.5 (a) Draw a scatter diagram for the following data. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Would you be justified in using the techniques of linear regression on these data to find the line of best fit? Explain

Consider the following problem. max ? 0.5?1 + 2.5?2 + ?3 subject to ?1 + 2?2...

Consider the following problem. max ? 0.5?1 + 2.5?2 + ?3 subject to ?1 + 2?2 + 3?3 ≤ 8 ?1, ?2, ?3 ∈ ℤ + ∪ {0} Solve the problem by dynamic programming. Show each step clearly.

Data For Tasks 1-8, consider the following data: 7.2, 1.2, 1.8, 2.8, 18, -1.9, -0.1, -1.5,...

Data For Tasks 1-8, consider the following data: 7.2, 1.2, 1.8, 2.8, 18, -1.9, -0.1, -1.5, 13.0, 3.2, -1.1, 7.0, 0.5, 3.9, 2.1, 4.1, 6.5 In Tasks 1-8 you are asked to conduct some computations regarding this data. The computation should be carried out manually. All the steps that go into the computation should be presented and explained. (You may use R in order to verify your computation, but not as a substitute for conducting the manual computations.) A Random...

Find the line y = b + mx of best fit through the data {(.1, .2),(.2,...

Find the line y = b + mx of best fit through the data {(.1, .2),(.2, .3),(.3, .7),(.5, .2),(.75, .8)}, using the least squares criterion. (Use one of the software tools: Excel, SPSS, Mathematica, or MATLAB to answer the following items, and print out your results directly from the software)

x y fxy(x,y) -1 -2 1/8 -0.5 -1 1/4 0.5 1 1/2 1 2 1/8 Show...

x y fxy(x,y) -1 -2 1/8 -0.5 -1 1/4 0.5 1 1/2 1 2 1/8 Show that the function above satisfies the probabilities of a joint probability mass function. Find E(X), E(Y), V(X), V(Y) Find marginal probability distribution of X Find the covariance and correlation.

An individual's utility function is U= (X+1)0.5 (Y+2)0.5

An individual's utility function isU= (X+1)0.5 (Y+2)0.5(a) By implicit differentiation, find the slope of any indifference curve and show that it is given by the ratio of marginal utilities of the two goods.(b) Find the indifference curve for U= 6 and show that it is negatively sloped and convex. Does the indifference curve cut the axes? What does this imply about this individual's tastes?

Elasticity of demand curve 1 = - 0.5 Elasticity of demand curve 2 = - 2.5...

Elasticity of demand curve 1 = - 0.5 Elasticity of demand curve 2 = - 2.5 Elasticity of demand curve 3 = - 0.2 Which of the following provides the greatest moral hazard potential? Group of answer choices all provides identical levels of moral hazard D2 D3 D1

a) Calculate the maximum MaxDisk value of the function f (x,y) = 9 ln * (x^2+(1+1)y^2+(0.5+0.5))...

a) Calculate the maximum MaxDisk value of the function f (x,y) = 9 ln * (x^2+(1+1)y^2+(0.5+0.5)) on the circle disk with the center of origin and radius 4. b) Also calculate the maximum the value MaxBorder that the function assumes on the border.

1. Use Euler's method with step size 0.50.5 to compute the approximate yy-values y1≈y(0.5), y2≈y(1),y3≈y(1.5), and...

1. Use Euler's method with step size 0.50.5 to compute the approximate yy-values y1≈y(0.5), y2≈y(1),y3≈y(1.5), and y4≈y(2) of the solution of the initial-value problem y′=1+3x−2y, y(0)=2. y1= y2= y3= y4= 2. Consider the differential equation dy/dx=6x, with initial condition y(0)=3 A. Use Euler's method with two steps to estimate y when x=1: y(1)≈ (Be sure not to round your calculations at each step!) Now use four steps: y(1)≈ B. What is the solution to this differential equation (with the given initial...

Subjects