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

Comprehensive analysis of diverse data sets using statistical methods.

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    Statistical Analysis and Interpretation of Various Data Sets: A Comprehensive Study on Vehicle Performance, Election Data, Homicide Rates, Blood Pressure, and Real Estate Data Question one Here are advertised ho r se power rating and expected gas mileage, in mile per gallon, for several 2010 vehicles. ( www.kbb.com ) Car hp mpg Audi A4 211 30 BMW 3 series 230 28 Buick LaCrosse 182 30 Chevy Cobalt 155 37 Chevy Suburban 320 21 Ford Expedition 310 20 GMC Yukon 320 21 Honda Civic 140 34 Honda Accord 177 31 Hyundai Elantra 138 35 Lexus IS 350 306 25 Lincoln Navigator 310 20 Mazda Tribute 171 28 Toyota Camry 169 33 Volkswagen Beetle 150 28 a) Which one of these variables is explanatory and which one is response variable ? In this dataset HP is the explanatory variable and MPG is the response variable. b) Using an appropriate tool make a scatterplot for these data. The obtained scatterplot for this dataset is given below,

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    c) Describe the direction, form, and strength of the association. The scatter plot suggests a strong negative association for the two considered variables. d) Find the correlation between horsepower and miles per gallon. The calculated correlation between horsepower and miles per gallon is - 0.9088. e) Write a few sentences telling what the plot says about fuel economy. The plot suggests a strong negative relationship between HP and the MPG thus we can say based on that result that as the HP for a vehicle increases the MPG decreases. HP gives more powerful engine and thus faster car in cost of higher expense for gas. That means we have to see what is our requirement, faster vehicle or low maintenance cost vehicle before deciding what to purchase. f) Convert the mileage to litres per 100 km (=235.2 ÷ mpg) and repeat part (b) to (e). Did the correlation 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 calculated correlation coefficient is 0.9206. As the correlation coefficient is positive in this case so higher HP needs higher liters of gas to run 100km. The absolute value for the correlation coefficient is higher in this case as compare to previous part thus this relationship is stronger and thus I prefer this scale as compare to earlier ones.

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