Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 06 Nov 2017 My Price 9.00

significance of regression

Consider the gasoline mileage data in Table B.3.

a. Fit a multiple liner regression model relating gasoline mileage y(miles per gallon) to engine displacement x1 and the number of carburetor barrels x6.

b. Construct the analysis-of-variance table and test for significance of regression.

c. Calculate R2 and  for this model. Compare this to the R2 and the  for the simple linear regression model relating mileage to engine displacement in Problem 2.4.

d. Find a 95% CI for β1.

e. Compute the t statistics for testing H0: β1 = 0 and H0: β6 =0. What conclusions can you draw?

f. Find a 95% CI on the mean gasoline mileage when x1 = 275 in.3 and x6 = 2 barrels.

g. Find a 95% prediction interval for a new observation on gasoline mileage when x1 = 275 in.3 and x6 = 2 barrels.

Problem 2.4

PANKRATZ · Forecasting with of least-squares estimat aid="5N5AR">Table B.3 presents data on the gasoline mileage performance of 32 different automobiles.

a. Fit a simple linear regression model relating gasoline mileage y (miles per gallon) to engine displacement xl (cubic inches).

b. Construct the analysis-of-variance table and test for significance of regression.

c. What percent of the total variability in gasoline mileage is accounted for by the linear relationship with engine displacement?

d. Find a 95% CI on the mean gasoline mileage if the engine displacement is 275 in. 3

e. Suppose that we wish to predict the gasoline mileage obtained from a car with a 275-in. 3 engine. Give a point estimate of mileage. Find a 95% prediction interval on the mileage.

f. Compare the two intervals obtained in parts d and e. Explain the difference between them. Which one is wider, and why?

 

Answers

Maurice Tutor
(5)
Status NEW Posted 06 Nov 2017 10:11 PM My Price 9.00

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