We would like to use the weight of a car to predict its fuel economy. Weights (in 1000sof pounds) and fuel efficiency (in miles per gallon) are shown in the table below for asample of ten car models:WeightFuel Efficiency 253.1 3.7 2.23.42.0 3.9 3.0 2.53.6 2.7213122351624271729It can be shown that i = 3.01, s, = 0.65, ỹ = 24.70, s, = 6.02, (r; – 1)? = 3.8025and ( – ý)? = 24.92.i=1The equation of the least-squares regression line is calculated to be ŷ = 51.47 – 8.89r.(a) Write out the simple linear regression model and define all terms.(b) The residual plot is shown below:2--3-253.5WeightWhat does the residual plot tell you about the validity of the regression model in(a)?(c) Construct a 95% confidence interval for the parameter ßị in the simple linear re-gression model.(d) Provide an interpretation of the confidence interval in (c).(e) Conduct a test of Ho: B1 = 0 vs. Ha: B1 + 0 at the 5% level of significance todetermine whether there exists a linear relationship between the weight of a car andits fuel efficiency. Use the P-value method.(f) Provide an interpretation of the P-value of the test in (e).(g) Calculate a 95% confidence interval for the true mean fuel efficiency of a car thatweighs 3200 pounds.jenpisa

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Answered: We would like to use the weight of 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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