A Comprehensive Study on Vehicle Performance, Election Data, Homicide Rates, Blood Pressure, and Real Estate Data

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Statistical Analysis and Interpretation of Various Data Sets: A ComprehensiveStudy on Vehicle Performance, Election Data, Homicide Rates, Blood Pressure,and Real Estate DataQuestion oneHere are advertised horse power rating and expected gasmileage, in mile per gallon, forseveral2010 vehicles.(www.kbb.com)CarhpmpgAudiA421130BMW 3series23028BuickLaCrosse18230ChevyCobalt15537ChevySuburban32021FordExpedition31020GMCYukon32021HondaCivic14034HondaAccord17731HyundaiElantra13835Lexus IS35030625LincolnNavigator31020MazdaTribute17128ToyotaCamry16933VolkswagenBeetle15028a)Which one of these variables is explanatory and which one is response variable?Inthis dataset HP is the explanatory variable and MPG is the response variable.b)Using an appropriate tool make a scatterplot for thesedata.The obtained scatterplot for this dataset is given below,

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c)Describe the direction, form, and strength of theassociation.The scatter plot suggests a strong negative association for the two considered variables.d)Find the correlation between horsepower and miles pergallon.The calculated correlation between horsepower and miles pergallon is-0.9088.e)Write a few sentences telling what the plot says about fueleconomy.The plot suggests a strong negative relationship between HP and the MPG thus we can saybased on that result that as the HP for a vehicle increases the MPG decreases. HP gives morepowerful engine and thus faster car in cost of higher expense for gas. That means we have tosee what is our requirement, faster vehicle or low maintenance cost vehicle before decidingwhat to purchase.f)Convert the mileage to litres per 100 km (=235.2 ÷ mpg) and repeat part (b) to (e). Didthecorrelation change ? which scale for fuel consumption do you prefer and why?The scatter plot in this case is given below,

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Here we can observe a strong positive association between the variables. The calculatedcorrelation coefficient is 0.9206. As the correlation coefficient is positive in this case sohigher HP needs higher liters of gas to run 100km.The absolute value for the correlation coefficient is higher in this case as compare toprevious part thus this relationship is stronger and thus I prefer this scale as compare toearlier ones.

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