6) Use nonlinear regression to fit a parabola to the following data:0.2 0.5 0.8 1.2 1.7 2 2.3X500 700 1000 1200 2200 2650 3750Final answer: y =6.0409 -2.3396 x + 6.7401 x², R² = 0.9894y

Consider the given dataset: yx5000.27000.510000.812001.222001.72650237502.3

Answered: 6) Use nonlinear regression to fit a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You performed a regression analysis of a set of bibariate data (two variables) and found that the coefficient od determination was .99 for a quadratic model and .88 for cubic model Explain which model you would use and why
Data from 147 colleges from 1995 to 2005 (Lee,2008) were tested to predict the endowments (in billions) to a college from the average SAT score of students attending the college. The resulting regression equation was Y = -20.46 + 4.06 (X). This regression indicates that: a. for every one-point increase in SAT scores, a college can expect 4.06 billion more in endowments. b. most colleges have very high endowments. c. for every one-point increase in SAT scores, a college can expect 20.46 billion fewer in endowments. d. for every one-dollar increase in endowments, the college can expect a half-point increase in SAT scores.
A researcher is interested in finding out the factors which determined the yearly spending on family outings last year (Y, measured in dollars). She compiles data on the number of members in a family (X1), the annual income of the family (X2), and the number of times the family went out on an outing in the last year (X3). She collects data from 196 families and estimates the following regression: Y=120.45+1.54X1+2.12X2+2.12X3. Suppose β1, β2, β3, denote the population slope coefficients of X1, X2, and X3, respectively. The researcher wants to check if neither X1 nor X2 have a significant effect on Y or at least one of them has a significant effect, keeping X3 constant. She calculates the value of the F-statistic for the test with the two restrictions (H0: β1=0, β2=0 vs. H1: β1≠0 and/or β2≠0) to be 3.00. The p-value for the test will be enter your response here?
Consider the following regression equation: y = -3.9 + 7.2x What does 7.2 depict in the regression equation above? a) The direction of the line. b) The y-intercept. c) The point where x = 0. d) The y when x = 7.2.
The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c Click the icon to view the monthly data. a. Develop a simple linear regression model between billable hours and overhead costs. Overhead Costs = 247733.3 +(43.2000) x Billable Hours (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.) b. Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm? Interpret the fixed term, bo. if appropriate. Choose the correct answer below. OA. The value of by is the predicted overhead costs for 0 billable hours. OB. For each increase of 1 unit in overhead costs, the predicted billable hours are estimated to increase by bo OC. It is not appropriate to interpret by. because its value is the predicted…
Use Excel to Run the Regressions:1. Wage and Age: Do you think a worker’s wage is related to his/her age? It is expected that wagesincrease with age up to certain age, after that wages go down. The “Wage Quadratic Data” fileposted contains data on the hourly wage (in $) for construction workers, workers’ ageand whether the worker has a bachelor’s degree or not (Graduate equals 1 if the worker has abachelor’s degree and 0 otherwise). Use the data file to answer the following questions:A) Build a model to predict the hourly wage of construction workers based on their education andage.B) Use the model to predict the hourly wage for a college graduate construction worker if his/herage is 30, 50, and 70c) Based on your model, calculate the age at which the hourly wage for construction workers ismaximized.
Experimenters wants to assess the association between X and Y, the scatter plot of X and Y showed a quadratic pattern. After applying the appropriate regression model, experimenters want to produce a prediciton interval for X = 20. Using StatCrunch with 95% confiendence, the result interval is 223 to 267. Provide the most appropriate interpretation of this interval.
The volume (in cubic feet) of a black cherry tree can be modeled by the equation y = - 50.8 + 0.3x, +4.5x,, where x, is the tree's height (in feet) and x, is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables. x, = 70, x, = 8.6 The predicted volume is cubic feet. (Round to one decimal place as needed.)
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Define both x and y in all problems. x is the cause, and y is the effect. This is the most important step when doing linear regression, otherwise, all the remanding parts will be wrong.

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6) Use nonlinear regression to fit a parabola to the following data: 0.2 0.5 0.8 1.2 1.7 2 2.3 y 500 700 1000 1200 2200 2650 3750 Final answer: y =6.0409 -2.3396 x + 6.7401 x², R² =0.9894