Maths Cars coursework Plan Essays

Maths Cars coursework Plan Essays Maths Cars coursework Plan Essay Maths Cars coursework Plan Essay The data base contains information about some used cars. I will be using the information to investigate what influences and affects the price of second hand cars. I will be investigating the price, age, and mileage of the cars. Also I will choose three types of cars and compare their prices. The types of cars are: small cars, executive cars and sports cars. I will need to collect data on these cars and then I am going to compare their ages using comparative pie charts. To do this I will need to make sure the pie charts areas have the same ratio as their totals. For that I have to choose the radius for the smallest pie chart and work out the radii for the other pie charts based on the previous ratios and my chosen radius. I will also need to see the correlations between Age and Price, and the correlations between, Mileage and Price. This will be done to see if they have a negative correlation or positive correlation. This will be done using scatter graphs and h ow strong each factor influences prices by spearman coefficient of rank correlation. My hypotheses for this investigation are: 1. There is a negative correlation between age and price. 2. There is a negative correlation between mileage and price. 3. Executive cars are in general more expensive then sports cars. 4. Sports cars tend to be more expensive then small cars. 5. The correlation between age and price will be stronger for small cars. 6. The influence of price on age will be stronger then influence of mileage on age. I will need to select samples from all the cars and from the types of cars I have chosen to investigate further. I will select stratified samples from all the cars and random from the types of cars I have chosen. I will use random samples for part C, D, E, F, G and from each group I have chosen to investigate and stratified samples for parts A and B. to do this I will use the computer to randomise the data to get random samples, however the samples may produce some outliers (very old cars with very high prices, Rolls Royce or Jaguar etc.) such data I will ignore but I will make a note of the numbers of outliers. I will plot each sample on scatter graphs (one factor against price) 8 scatter graphs will be produced: 1. stratified sample: age, price 2. small cars: age, price 3. executive cars: age, price 4. sports cars: age, price 5. stratified sample: mileage, price 6. small cars: mileage, price 7. executive cars: mileage, price 8. sports cars: mileage, price I will draw lines of best fit on each scatter graph, working out mean first. I will work out spearmans coefficient of rank correlation for each scatter graph. I will use y = mx + c to work out equations of line of best fit. I will use the lines of best fit to predict prices given age or mileage for each type of car that I have chosen. I will intercept the meaning of gradient and use it to compare depreciations. I will work out mean price and range for each type of car and set out in a table together for easy comparison. Nxst I will use cumulative frequency graphs to compare prices of small, executive and sports cars. My recorded prices in grouped frequency table to compare prices of my chosen cars will be set out in this table: Sports Small Large Prices Tally Frequency Tally Frequency Tally Frequency à ¯Ã‚ ¿Ã‚ ½0-499 à ¯Ã‚ ¿Ã‚ ½500-1499 etc. And cumulative frequency table: Up to Sports cars cumulative frequency Small cars cumulative frequency Medium cars cumulative frequency à ¯Ã‚ ¿Ã‚ ½499 à ¯Ã‚ ¿Ã‚ ½1,499 Etc. Next I will plot cumulative frequency graphs on one graph paper (using different colours) and find quartiles Q1, Q2, Q3 for each type of car. I will then draw box and whisker diagrams using different colours against one scale. Then I will make comparisons of prices using medians and by using interquartile ranges. Then finally I will compare the distribution of prices of small, executive and sports cars using histograms with unequal intervals.