Math Coursework- Used car prices

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Year 11 Math Coursework- Used car prices

In this coursework I’m trying to find out the difference on the prices of a second hand car, a list of cars is given factors in different categories with the information of the cars’ original and second hand prices, details such as the size, the history and other small information. These factors affect their original prices and their second hand prices; I must first separate these to find what main factor affects the price dramatically. This should first be done by cataloging them.

There are a lot of different makes and ages of cars listed, I’m going to separate the list of makes first:

Mercedes, Vauxhall, Nissan, Renault, Rover, Fiat, BMW, Daewoo, Toyota, Volkswagen, Seat, Hyundai, Citroen, Bentley, Lexus, Peugot, Honda, Landrover, Porche, Suzuki, Audi, Rolls Royce, Mitsubishi, Ford

There are 24 different makes of cars listed, it would be hard to compare each make separately, as well as there are different models for each make, therefore, I should compare the cars that are in the same make first to find out what influence tare there to the second hand price. I’m using Mercedes as a stratified sample and concentrate on the cars’ original and second hand price first.

The most expensive Mercedes from the original price is the Mercedes Elegance, however, Mercedes A140 Classic had the smallest amount of change in prices compare to the others, this will probably be due to its young age of 1 year, and that its mileage is still quite short- 14,000. For the Mercedes AvantGarde, it lost its values the most in only 2 years of age and 17,000 mileage, not big differences compare with Mercedes A140. From this I can learn that the age and mileage can determine the second hand price dramatically. To prove that the age and mileage affects dramatically the second hand price, I will investigate the age and mileage of another make to prove this.

I’m using Vauxhall as they have quite a lot of cars with different models, the number of Vauxhall cars is more than no. of Mercedes; the Vauxhall Vectra has the youngest age- 2 years and lowest mileage 20,000. Its price dropped more than half its original value after 2 years, as the oldest car with the longest mileage- Nova with 10 years and 75,000 mileage has decreased its value more than 5 times its original price (£5599 to £1000). Overall, this definitely shows that the age and mileage statically affect the second hand price.

To prove that there is a relationship between the age and mileage of the car, I will show this in a scatter diagram.

From the line that best fits, although it doe not show a strong relationship it proves that there is a positive correlation, meaning as the mileage of the cars increases so does the age of the car. Therefore, I can predict that any cars with the age of 10 years and above will have a higher mileage of 80.000. I can then find out the percentage of depreciation rate of all the Vauxhall cars and prove that age affects the value of the car, the formula for this is: (original price- 2nd hand price) divided by no. of age.

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The list shows the Vauxhall cars with the depreciation rate price and age. We cannot find the relationship between age and depreciation through a table so I will use a scatter diagram to compare these data.

I have to remember that afterwards I must use the best fit line and the scatter diagram to predict what is the depreciation rate if its x amount of years        .

In the scatter diagram and the best fit line below I can see that there is a weak relationship and a negative correlation with the depreciation ...

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