MAT 152 Lab 4   

Show your work, where appropriate. Remember that you do not haveto show any work for what you enter into your graphingcalculator.

CITY is the city fuel consumption in miles per gallonand HWY is the highway fuel consumption in miles pergallon.

Car	City (x)	Hwy (y)
	Acura RL	18	26
	Audi A6	21	29
	Buick LaCrosse	20	30
	Chrysler 300	17	25
	Infiniti M35	18	25
	Mazda 3	26	32
	Mercury Gr Marq	17	25
	Nissan Altima	23	29
	Pontiac G6	22	32
	Toyota Avalon	22	31

For parts A – C, find each of them.(There is no work required since your graphing calculator gives youthesevalues.)                 Round each number to 3 decimal places.  

1. the linear regression equation:

1.    the correlation coefficient, r:

1. the coefficient of determination, r2:

1. Interpret r by explaining this value (from #2 above)in a COMPLETE sentence.
   

There is a ______________________________ linear correlation between city and

Choose strong orweak.    Choose positive ornegative.

highway fuel consumption.

1. Interpret r2 by explaining this value (from#3 above) in a COMPLETE sentence by filling in theblanks:

_________ % of the variation in_______________ mileage can be explained by the

               Changer2 to a%.                                 Choose city orhighway.

               regression equation.

           _________% of the variation is unexplained.

1. Determine if there is a significant linear relationshipbetween city and highway fuel consumption atα=0.05 by completing the hypothesis test steps below.                                                                                                                                             (Use LinRegTTest.)   

1. H₀:

H_a:

1. Calculate the test statistic: t = ___________                Round to 3 decimal places.

1. Calculate the p-value: ____________                            Round to 4 decimal places.

1. Select the correct decision: Reject H₀               or         Fail to RejectH₀

1. Conclusion: (Explain in terms of if there is a significantlinear relationship or not).