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Determinants on Price of Cars

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Submitted By fengfan
Words 821
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Introduction
In this study, we will discuss the impacts of different variables on the price of the car. There are 82 observations and 12 independent variables used. Variables that we are interested include: whether the car is hatchback, the wheelbase, length, width, height, weight of the car, cylinders number, engine displacements, MPG, whether the car is automatic transmission, and whether the car has 8 or 6 cylinders. First we will apply Bivariate Analysis to find out variables with significance, and then we will build a multiple linear regression model using these data.

Overview of Data
We get a summary from Stata about the observations. The 82 observations of car prices range from $8.395k to $68,603, and the 50% percentiles of price is $16,637. The mean price is $18154,77 and standard deviation is 8.462857.

Bivariate Analysis
In order to find out which variables are significant to car prices, we need to do Bivariate Analysis (Appendix 1).

For continuous variables, we use correlation method. In this case, 6 continuous variables include wheelbase, length, width, height, weight, and MPG. Not surprisingly, we find out that weight and size of engine are the two variables that most positively correlated with price (correlation=0.6561 and 0.6397 respectively). However, wheelbase is least correlated with car price (correlation=0.1853), indicating that it is less significant. Height and MPG of car is negatively correlated with price (correlation=-0.2682 and -0.5272 respectively), which means that if the car is higher or mile per gallon is higher, the price of the car will be lower.

For two categorical variables, we apply t-test. The result shows that hatch and cyl6 are not significant with p value of 0.8502 and 0.5302 respectively. On the other hand, whether the car is automatic transmission and 8 cylinders matters. For multi-categorical variables,

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