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Question
a hitps//edugen.wileyplus.com/edugen/student/mainfr uni No results Options ent CALCULATOR MESSAGE MY INSTRUCTOR R SCRIIN pani ERVERSION ·BACK Is there a particular product that is an Indicator of per capita personal consumption for countries around the world? Shown below are data on per capita personal consumption, paper consumption, fish consumption, and gasoline consumption for 11 countries. Use the data to develop a multiple regression model to predict per capita personal consumption by paper consumption, fish consumption, and gasoline consumption. Discuss the meaning of the partial regression weights. Per Capita Personal Paper Fish Gasoline Consumption Consumption Consumption Consumption Country(U.S.) (kg per person) (Ibs per person) (liters per person) 836 3,145 21,785 37,931 276 1,913 2,195 3,154 United Kingdom 19,539 United States 109,521 23 53 48 141 12 113 65 133 Bangladesh 85 204 250 Italy Japan Kenya Norway Philippines Portugal 156 19 116 207 308 27 394 368 447 16 477 43 257 460 1,624 528 47 Venezuela 622 40 (Round your answers to 4 decimal places.) Paper Consumption + The regression equation is: Per Capita Gasoline Consumption 11:15 PM 202018 search
Explanation / Answer
####By using Rcommand
> y=c(836,3145,21785,37931,276,1913,2195,3154,19539,109521,622) ###Per capita
> y
[1] 836 3145 21785 37931 276 1913 2195 3154 19539 109521
[11] 622
> x1=c(1,85,204,250,4,156,19,116,207,308,27) ##Paper Consumption
> x1
[1] 1 85 204 250 4 156 19 116 207 308 27
> x2=c(23,53,48,141,12,113,65,133,44,47,40)##Fish Consumption
> x2
[1] 23 53 48 141 12 113 65 133 44 47 40
> x3=c(2,394,368,447,16,477,43,257,460,1624,528)##Gasoline Consumption
> x3
[1] 2 394 368 447 16 477 43 257 460 1624 528
> fit=lm(y~x1+x2+x3)
> fit
Call:
lm(formula = y ~ x1 + x2 + x3)
Coefficients:
(Intercept) x1 x2 x3
-7629.63 116.25 -120.09 45.73
The regression Equation is
Per capita = -7629.63 +(116.25)Paper Consumption -(120.09)Fish Consumption+ (45.73 )Gasoline Consumption
For every unit increase in Paper consumption the predicted per capita consumption increased by $116.25 if Fish consumption and Gasoline consumption are held constant.
For every unit increase in Fish consumption the predicted per capita consumption decreased by $120.09 if Paper consumption and Gasoline consumption are held constant.
For every unit increase in Gasoline consumption the predicted per capita consumption increased by $45.75 if Paper consumption and Fish consumption are held constant.
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