Suppose an environmental agency would like to investigate the relationship between the engine size ofâ€‹ sedans,...

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Suppose an environmental agency would like to investigate therelationship between the engine size ofâ€‹ sedans, x, and the milesper gallonâ€‹ (MPG), y, they get. The accompanying table shows theengine size in cubic liters and rated miles per gallon for aselection of sedans. The regression line for the data is yhat=36.7920âˆ’4.1547x.
Use this information to complete the parts below.
Engine SizeÂ Â MPG
2.4 27
2.1 31
2.3 26
3.4 22
3.5 24
2.2 28
2.2 24
2.1 29
3.9 20
a) Calculate the coefficient of determination. R²=?(Round to three decimal places asâ€‹ needed.)
b) Using Î±=0.05â€‹, test the significance of the populationcoefficient of determination.
Determine the null and alternative hypotheses.
c) Theâ€‹ F-test statistic is? â€‹(Round to two decimal placesasâ€‹needed.)
d) the p-value is? â€‹(Round to three decimal placesasâ€‹needed.)
e) Construct aâ€‹ 95% confidence interval for the average MPG of a2.5â€‹-cubic liter engine.
UCL= ? â€‹(Round to two decimal places asâ€‹ needed.)
LCL= â€‹? (Round to two decimal places asâ€‹ needed.)
f) Construct aâ€‹ 95% prediction interval for the MPG of a2.5â€‹-cubic liter engine.
UPL= ? â€‹(Round to two decimal places asâ€‹ needed.)
LPL= ? â€‹(Round to two decimal places asâ€‹ needed.)

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3.9 Ratings (767 Votes)

using exceladdinphstatRegressionwe haveSimple Linear Regression AnalysisRegression StatisticsMultiple R08431R Square07108Adjusted R Square06695Standard Error20121Observations9ANOVAdfSSMSFSignificance See Answer

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