# Maths coursework - car prices

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Introduction

Contents INTRODUCTION 2 SAMPLING 2 HYPOTHESIS 2 First hypothesis 2 Second hypothesis 3 Third hypothesis 3 Fourth hypothesis 3 METHOD ON REMOVING OUTLIERS 4 PLAN 4 GRAPHS AND ANALYSIS 5 SCATTER DIAGRAMS 5 PRICES VS. AGE 5 Table of predicted age of car from the line of best fit 7 PRICES VS. AGE WITHOUT OUTLIERS 7 Table of predicted age of car from the line of best fit 8 PRICE VS. MILEAGE 9 Table of predicted mileage of car from the line of best fit 10 PRICE VS. MILEAGE WITHOUT OUTLIERS 11 Table of predicted mileage of car from the line of best fit 12 MILEAGE VS. AGE WITHOUT OUTLIERS 13 DEPRECIATION 15 Box plot 1 with outliers 16 Box plot 1b without outliers 16 ANALYSIS 17 CORRELATIONS 17 Graph 1 17 Graph 1b 17 Graph 2 17 Graph 2b 17 OUTLIERS OBSERVATIONS 18 Observations between graph with outliers and without outliers 18 Formula of outliers 18 Cars being outliers 18 Identified outliers with reasons 18 Removal on outliers 19 EQUATION OF BEST FIT 19 HYPOTHESIS CONCLUSIONS 20 First hypothesis 20 Second hypothesis 20 Coursework Improvements 20 Introduction In my coursework I have to investigate the influences in car prices of the second hand price samples I am taking. In the coursework you can choose 20 factors but I am going to choose only 2 because I consider that the 2 I am picking will affect the prices all second hand cars the most. The first factor I am going to select is age because I believe that age of a second hand car can affect the price because of how good the condition of the car has been in because when you have an car that is 10 years old it is most likely that it needs repairs and also having a 10 year old car the parts of the car will start to fail because it is old so the price is put lower as of the condition of the car, ...read more.

Middle

The following calculations have been done to work out the mileage of differently priced second hand cars: 1. Y = 6000 6000 = -0.1248x +14000 6000-14000 =-0.1248x X = 6000-14000 -0.1248 X=64102.5641 X=64103(to the nearest mile) 2. Y = 4000 4000 = -0.1248x +14000 4000-14000 =-0.1248x X = 4000-14000 -0.1248 X=80128.20513 X=80128(to the nearest mile) 3. Y = 2000 2000 = -0.1248x +14000 2000-14000 =-0.1248x X = 2000-14000 -0.1248 X=96153.84615 X=96154 (to the nearest mile) Table of predicted mileage of car from the line of best fit Price � Mileage predicted from line of best fit Mileage predicted from equation of line of best fit 6000 64103 64000 4000 80128 80000 2000 96154 96000 Price vs. Mileage without outliers Graph 2b Equation of line of best fit Y=-0.0755x+10000 The equation of best fit shows that 1 once every mile has gone the price of the car decreases by 8/per mile. From graph 2b we can see the data provided is less randomly scattered than the scatters in graph 2 which shows outliers have been, the line of best fit shows that there is a negative correlation, this means that when the mileage of the car increases then the price of the car will decrease because of the negative correlation. Based on the information shown on graph 2b I predict as the car mileage increases by miles, the price of the car will decrease because of the negative correlation, also the equation of best fit shows that the graph is a negative correlation because the first part of the correlation shows -0.0755because there is a - which shows there is a negative correlation. From the line of best fit shown in red, I can predict the age of the car knowing the price given, by drawing a line from the price given until it touches the line of best fit. The method is shown on graph 2b with coloured lines, which then the results will be on the table below. ...read more.

Conclusion

a car it would be 3 years old with a mileage of 20000 miles because if a car is new you will have to get used to the car but when it is 3 years old everything about the car is good. Second hypothesis The second of my hypothesis is that I believe that there is H1 had been correct 2. No correlation between the price of cars and how far it has travelled in mileage. b) Alternative hypothesis is there is a negative correlation between price and mileage i.e. the most mileage a car has travelled the price of the car goes down. I think that H1 had been correct because in the H1 it says b) Alternative hypothesis is there is a negative correlation between price and mileage i.e. the most mileage a car has travelled the price of the car goes down. Which means that there would be a negative correlation and means that when mileage increase price would decrease; referring back to graph 2b it shows a negative correlation and means that when the mileage of the car increases the price of the car will decrease. I conclude that when the mileage of the car increases the price of the car will decrease. Coursework Improvements From my coursework I could improve it by including more factors so I can see what other factors affect the price and compare my results. I could also do Internet research so I can search on the cars and what affects the cars the most. I could also look in car magazines to find out more about what affects the price of the car. I could choose a bigger sample because the bigger the sample I have the more accurate my results would be and I would also get more evidence for my graphs and conclusions e.g. if I had 150 car samples I would be able to know more about what affects the price because it's a higher value. ?? ?? ?? ?? 1 ...read more.

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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