(2) Load package \"alr3\" into R. Dataset fuel2001 contains data on motor fuel c

Question

(2) Load package "alr3" into R. Dataset fuel2001 contains data on motor fuel con- tollowing columns. Drives: Number of Licensed drivers in the state . FuelC: Gasoline sold for road use (1000s of gal.) Income: Per capita personal income (year 2000) . Miles: Miles of Federal-aid highway miles in the state . MPC: Estimated miles driven per capita Pop: Population age 16 and over . Tax: Gasoline state tax rate, cents per gallon Transform the following variables to create: Dlic-1000 Drivers/Pop, . Fuel-1000 FuelC/Pop Income-Income/1000 . log.miles-log(Miles)

Explanation / Answer

library(alr3)
d=fuel2001
Dlic=1000*(d$Drivers)/(d$Pop)
Fuel=1000*(d$FuelC)/(d$Pop)
Income=(d$Income)/1000
log.Miles=log(d$Miles)
Tax=d$Tax
reg=lm(Fuel~Tax+Dlic+Income+log.Miles)
summary(reg)

vcov(reg)

a)Estimates of beta:
Estimate
(Intercept) 154.1928   
Tax -4.2280
Dlic 0.4719   
Income -6.1353
log.Miles 26.7552

Sigma^2=4210.712

b)

(Intercept) Tax Dlic Income log.Miles
(Intercept) 37988.41145 -120.0960793 -17.18034682 -251.85813715 -1.173392e+03
Tax -120.09608 4.1213916 0.02357820 0.17952544 9.734094e-01
Dlic -17.18035 0.0235782 0.01651570 0.05006761 3.281593e-02
Income -251.85814 0.1795254 0.05006761 4.81202826 6.076250e+00
log.Miles -1173.39232 0.9734094 0.03281593 6.07625002 8.718655e+01

e)Multiple R-squared: 0.5105(R^2)

, Adjusted R-squared: 0.4679 (R^2(a))

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