Theory of Whether The Age of a Car Is Directly Proportional To It's Depreciation
Extracts from this document...
Introduction
Hypothesis 1
Age of Car
I shall now be trying to prove whether the age of the car is directly proportional to the depreciation. To test this theory I shall be using a cluster sample. I decided to use the Ford Cars sample because it has a range of cars from the age of 1 – 8 and this may help to get the information more accurate. I shall also be using a sample of Fiat cars to see if my answer is conclusive.
Ford Cars
Age (Years) | Price when new | Price Now | Price lost | % Loss |
1 | £16,000 | £7,999 | £8,001 | 50% |
2 | £14,505 | £8,800 | £5,705 | 39% |
3 | £13,230 | £8,250 | £4,980 | 38% |
4 | £17,780 | £7,995 | £9,785 | 55% |
5 | £15,405 | £3,995 | £11,410 | 74% |
6 | £9,995 | £2,995 | £7,000 | 70% |
7 | £13,183 | £3,495 | £9,688 | 73% |
8 | £7,310 | £1,050 | £6,260 | 86% |
Fiat Cars
Age (Years) | Price when new | Price Now | Price lost | % Loss |
1 | £10,954 | £6,795 | £4,159 | 38% |
2 | £10,810 | £4,995 | £5,815 | 54% |
3 | £7,864 | £4,500 | £3,364 | 43% |
4 | £8,601 | £3,995 | £4,606 | 54% |
5 | £10,351 | £3,495 | £6,856 | 66% |
6 | £10,423 | £1,295 | £9,128 | 88% |
7 | £8,272 | £1,500 | £6,772 | 82% |
8 | £6,864 | £1,495 | £5,369 | 78% |
To find out the percentage loss of a car I used the formula below:
I then transferred the data from the tables and then added it to the scatter diagrams.
This scatter diagram displays the information on the Ford Cars table.
This scatter diagram displays the information on the Fiat Cars table.
Both scatter diagrams above show a positive correlation and this means that as the age of a car increases the cars depreciation or decline in price increases. However, some of the cars do not
Middle
53%
58000
£13,740
£2,900
£10,840
79%
63000
£18,675
£6,995
£11,680
63%
73000
£10,150
£850
£9,300
92%
75000
£5,599
£1,000
£4,599
82%
The table and graph also follow the same pattern as the Rover Cars and this is confirmation that as the mileage of a car increases the depreciation of the car increases as well.
Hypothesis 3
Engine size and Price
A factor I thought would make a difference to the price of the car is the engine size. The basis for this statement is because I believe that the bigger the engine the more powerful and faster the car is and this means the price of the car would be higher.
For this part of the analysis I shall be using convenience sampling. And I decided to use the first 75 cars. This is so that the answer I get in the end is more accurate and fair.
The stem and Leaf diagram below displays the data I took.
Stem Leaf
0 9 9 9 5
1 0 0 1 1 1 1 1 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8
2 0 0 0 0 0 0 0 0 0 0 3 3 3 5 5 5 5
3 0
4 0
The stem and leaf diagram shows that the mode for the most popular choice of engine size is the 1.4 litre engine and the range of all the cars is from a 0.9 litre engine to a 4-litre engine.
To find out whether the engine size is an important factor on the price I took the 75 cars and put it in the table below. If I had more than one type of the same engine size I found the average price of all the cars.
This tally chart below shows the data for the engine size and price.
Engine size | Tally | Frequency of cars | Average price (£) |
0.9 | 2 | £4,547.00 | |
0.95 | 1 | £1,495.00 | |
1 | 2 | £5,247.00 | |
1.1 | 5 | £1,832.00 | |
1.2 | 6 | £3,525.00 | |
1.3 | 2 | £2,695.00 | |
1.4 | 16 | £4,519.94 | |
1.5 | 1 | £1,295.00 | |
1.6 | 11 | £4,601.18 | |
1.8 | 10 | £6,072.40 | |
2 | 10 | £5,069.50 | |
2.3 | 3 | £5,580.00 | |
2.5 | 4 | £3,395.00 | |
3 | 1 | £19,495.00 | |
4 | 1 | £6,250.00 |
Using the tally chart I created a scatter diagram to show the relationship between engine size and price.
As you can see from this graph it has a positive correlation. This just shows that as the engine size increases the price also increases. Some of the points on the scatter diagram do not follow the same pattern. For example the arrow that is shown on the graph marks a car with a three-litre engine. This car is worth more than a car with a four-litre engine. This could of happened because something else has affected the price of the car such as the age or the make of the car. Another reason would be because the price of the car is what it is worth now not what its value should be when bought new.
This scatter diagram shows the value of cars when bought new.
As you can see it shows a much more accurate result than the other graph but it still shows the same positive correlation but this correlation is much stronger.
This has helped prove my theory that engine size does affect the price of a car.
Hypothesis 4 Make and Model
Now I shall be investigating whether the make of a car has an affect on the price of a car. To find this out I shall be using a quota sample of twelve Ford Cars and twelve Rover Cars. I believe that the Rover Cars will be more expensive because Rover is elegant and more stylish than the Ford so it may be more expensive.
I shall be representing my data using a population pyramid. Below is a table with the data that I took. The price that I have used is the price of the car when it is new.
Rover Cars price (£) | Frequency | Percentage on Pyramid |
£0 < p < £5,000 | 0 | 0% |
£5,000 < p < £10,000 | 4 | 33% |
£10,000 < p < £15,000 | 2 | 17% |
£15,000< p < £20,000 | 2 | 17% |
£20,000 < p < £25,000 | 4 | 33% |
Ford Cars price (£) | Frequency | Percentage on Pyramid |
£0 < p < £5,000 | 0 | 0% |
£5,000 < p < £10,000 | 5 | 42% |
£10,000 < p < £15,000 | 5 | 42% |
£15,000< p < £20,000 | 2 | 16% |
£20,000 < p < £25,000 | 0 | 0% |
Conclusion
Make
Model
Price when New
Price Now
Value lost
Percentage lost
Nissan
Micra
5340
1595
3745
70%
Nissan
Micra
7995
3999
3996
50%
Nissan
Sunny
7799
2595
5204
67%
Ford
Fiesta
8680
3200
5480
63%
Daewoo
Lanos
11225
5999
5226
47%
Daewoo
Lanos
9525
4395
5130
54%
Fiat
Bravo
10810
4995
5815
54%
Ford
Escort
11800
4700
7100
60%
Vauxhall
Corsa
8900
4995
3905
44%
Daewoo
Nubira
13850
6895
6955
50%
Fiat
Bravo
10954
6795
4159
38%
Ford
Mondeo
17780
7995
9785
55%
Peugeot
406
17490
7500
9990
57%
Toyota
Corrolla
13800
7495
6305
46%
Volkswagen
Polo
9960
7550
2410
24%
Mercedes
A140 Classic
14425
10999
3426
24%
Mercedes
AvantGarde
17915
11750
6165
34%
Volkswagen
Beetle
14950
13500
1450
9%
Two owners
Make | Model | Price when New | Price Now | Value lost | Percentage lost |
Fiat | Uno | 6864 | 1495 | 5369 | 78% |
Ford | Fiesta LX | 8748 | 1995 | 6753 | 77% |
Nissan | Micra | 6295 | 1795 | 4500 | 71% |
Rover | Metro | 5495 | 1995 | 3500 | 64% |
Fiat | Punto | 7518 | 3769 | 3749 | 50% |
Ford | Escort | 15405 | 3995 | 11410 | 74% |
Peugeot | 306 | 12350 | 3995 | 8355 | 68% |
Rover | 620Si | 17795 | 3400 | 14395 | 81% |
Vauxhall | Corsa | 7440 | 3495 | 3945 | 53% |
Vauxhall | Vectra | 13435 | 4995 | 8440 | 63% |
BMW | 316i | 13650 | 6995 | 6655 | 49% |
Renault | Megane | 13175 | 6999 | 6176 | 47% |
Vauxhall | Astra | 14325 | 6595 | 7730 | 54% |
Vauxhall | Vectra | 18140 | 6499 | 11641 | 64% |
Vauxhall | Calibra | 18675 | 6995 | 11680 | 63% |
Volkswagen | Golf GTi | 16139 | 6995 | 9144 | 57% |
Three owners
Make | Model | Price when New | Price Now | Value lost | Percentage lost |
Hyundai | Sonnata | 11598 | 1195 | 10403 | 90% |
Fiat | Tipo | 8272 | 1500 | 6772 | 82% |
Ford | Escort Duet | 9105 | 2300 | 6805 | 75% |
Mazda | Pegasus | 10420 | 2495 | 7925 | 76% |
Rover | 820 SLi | 21586 | 3795 | 17791 | 82% |
Four owners
Make | Model | Price when New | Price Now | Value lost | Percentage lost |
Vauxhall | Nova | 5599 | 1000 | 4599 | 82% |
As there are more owners the percentage lost by the cars increase. Cars with one previous owner lost about an average of 35%. Cars previously owned by two people lost about 65% - 70%, cars that had three owners lost an average of 75% - 80% and cars with four previous owners lost 80+%.
This has helped me to come to the conclusion that number of owners does have an affect on the price. The more previous owners a car has the less it would cost.
This student written piece of work is one of many that can be found in our GCSE Gary's (and other) Car Sales section.
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