Using all possible predictors select a model using forward

Reference no: EM13637634

The data in this question come from From Sen and Srivastava (Exercise 2.12) [2] and can be used to model car ownership (measured in cars per person). The variables in the data set are:

AO cars per person

POP population in millions

DEN population density

GDP per capita income in U.S. dollars

PR petrol price in U.S. cents per litre

CON tonnes of petrol consumed per car per year

TR thousands of passenger kilometres per person by bus and train

This dataset carownership.dat is available

(a) Plot AO against any four of the other variables that you think might be strongly related to car ownership. Comment on the relationships you observe.

(b) Using all possible predictors select a model using forward regression.

(d) Exclude POP and DEN from the possible predictors to consider. Compute adjusted R^2, PRESS and Cm for all the remaining possible models (except the model with only the constant term). On the basis of this information, reduce the pool of models from 15 to a small subset for further consideration.Select a model, justifying your choice.

Country	AO	POP	DEN	GDP	PR	CON	TR
Austria	0.27	7.5	89	7.7	49	1.1	2.6
Belgium	0.3	9.8	323	9.8	59	1	1.6
Canada	0.42	23.5	2	8.7	17	2.8	0.1
Denmark	0.28	5.1	119	11	56	1.2	1.9
Finland	0.24	4.8	16	7.1	49	1.2	2.2
France	0.33	53.3	97	8.8	61	1	1.5
Germany	0.35	61.3	247	10.4	49	1.1	1.7
Greece	0.08	9.4	71	3.4	56	1.7	0.7
Iceland	0.34	0.2	2	9.8	57	1.2	2
Ireland	0.2	3.2	46	3.8	40	1.5	0.3
Italy	0.3	56.7	188	4.6	61	0.6	1.8
Japan	0.18	114.9	309	8.5	49	1.2	3.5
Luxembourg	0.43	0.4	138	9.8	44	1.6	0.8
Netherlands	0.3	13.9	412	9.4	56	1	1.5
New Zealand	0.4	3.1	12	5.9	34	1.3	0.2
Norway	0.28	4.1	13	9.8	61	1	1.7
Portugal	0.1	9.8	107	1.8	68	0.7	0.9
Spain	0.18	36.8	73	4	44	0.8	1.3
Sweden	0.34	8.3	18	10.6	42	1.3	1.7
Switzerland	0.32	6.3	153	13.3	56	1.3	2
Turkey	0.014	42.7	55	1.2	36	3.3	0.1
U.K.	0.27	55.8	229	5.5	35	1.2	1.6
U.S.A.	0.53	218.2	23	9.7	17	2.7	0.3
Yugoslavia	0.09	22	86	2.1	40	1.1	2.1

Reference no: EM13637634

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