The sample averages of fuel economy for manual and automatic sedans in this samp

Question

The sample averages of fuel economy for manual and automatic sedans in this sample are 7.864 L/100km and 9.080 L/100km respectively. Based on this, one of the investigators has suggested that it may be possible to predict the transmission type of a sedan from its fuel economy, using a formal statistical analysis. (a) Which statistical method is appropriate for conducting this analysis? Explain briefly why you suggest this method. (1 mark) (b) After recoding "manual" as 0 and "automatic" as 1, the following scatterplot was obtained for this data; however, it is not particularly helpful for visualising the potential relationship that has been suggested. Briefly, how might a plot be obtained that is more helpful for this purpose? (1 mark) decade economy cylinders capacity fuel rnsmissi 1991-2000 2001-2010 2011+ 2011 1991-2000 2001-2010 2001-2010 1.3 petrol manua 1.6 petrol manual 1.S petrol manual 1.8 petrol manual 2 petrol manual 2 pol automatic 2 petrol manual 2 petrolautomatic 2011 1991-2000 1991-2000 2001-2010 2001-2010 2011 20114 1991-2000 2001-2010 2001-2010 2011 20114 2011+ 1991-2000 1991-2000 2001-2010 2001-2010 2001-2010 2011 2011+ 2011 1991-2000 2001-2010 2001-2010 2011+ 2011 1991-2000 1991-2000 2001-2010 2011+ 2011 1991-2000 1991-2000 2001-2010 14.4 2001-2010 2011 20114 1991-2000 001-2010 14.3 2011+ 1.8 petrol manual 1.8 petrol automatc 1.8 petrol manual 1.8 petrol automatic 1.8 petrol manual 1.8 petrol automatic 2.8 petrol manua 2 petrol manual 2 petrol automatic 6.2 6.6 3.8 2 petrolmanual 2 petrol automatic 1.6 diesel manual 1.5 petrol manual 1.S petrol automatic 1.6 petrol manual 1.6 petrol automatic 2 diesel manual 1.6 petrol manual 1.6 petrol automatic 1.8 diesel mnual 1rmanual 6.8 6 p automatic 11.1 9.2 9.2 11.7 10.5 3 petrol 3 petrol automatic .5 petrol manual 3.7 petrol manual 3.7 petrol automatic 5 petrol 5 petrol automatic 6 petrol manual 6 petrol automatic 6 petrol manual 6 petrol automatic 5.5 petrol automatic .2automatic 5.5 petrol automatic 14.3 11.5 11.5 10

Explanation / Answer

a) For this scenario, Logistic linear regression can be used.

What is Logistic Regression?

Logistic regression is the appropriate regression analysis to conduct when the dependent variable is dichotomous (binary). Like all regression analyses, the logistic regression is a predictive analysis. Logistic regression is used to describe data and to explain the relationship between one dependent binary variable and one or more nominal, ordinal, interval or ratio-level independent variables.

b) A logistic regression curve plot will be helpfull in this case.

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