Question

A second-hand car dealer has 10 cars for sale. He decides to investigate the link between the age of the cars (x years) and the mileage (y thousand of miles). The data collected from the cars are shown in Table T2. Table T2. Age, x (year) 2 2.5 3 4 4.5 4.5 5 3 6 6.5 Mileage, y (thousands) 22 34 33 37 40 45 49 30 58 58 1. Explain which data mining technique you suggest to implement to predict the Mileage of a car given its Age. (Give the name of the method and the name and meaning of each of its main variables). [1 mark] 2. Write the model corresponding to your answer (Give the necessary details that helps in understanding your model). [1 mark] 3. What is the name (i.e.; type) of the relationship between the Age and the Mileage of the car? [1 mark] 4. Estimate the two parameters Intercept ($w_0$) and slope ($w_1$) of the model with the help of the following equations and the dataset in Table T2. Give the calculation details for each coefficient and write the model obtained. [5 marks] $\sum_{i=1}^{n}(x_i - \bar{x})(y_i - \bar{y})$ $w_1 = \frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{}$ $w_0 = \bar{y} - w_1\bar{x}$

          A second-hand car dealer has 10 cars for sale. He decides to investigate the link between the age
of the cars (x years) and the mileage (y thousand of miles). The data collected from the cars are
shown in Table T2.
Table T2.
Age, x (year)
2
2.5
3
4
4.5
4.5
5
3
6
6.5
Mileage, y (thousands)
22
34
33
37
40
45
49
30
58
58
1. Explain which data mining technique you suggest to implement to predict the Mileage of a car
given its Age. (Give the name of the method and the name and meaning of each of its main
variables).
[1 mark]
2. Write the model corresponding to your answer (Give the necessary details that helps in
understanding your model).
[1 mark]
3. What is the name (i.e.; type) of the relationship between the Age and the Mileage of the car?
[1 mark]
4. Estimate the two parameters Intercept ($w_0$) and slope ($w_1$) of the model with the help of the
following equations and the dataset in Table T2. Give the calculation details for each coefficient
and write the model obtained.
[5 marks]
$\sum_{i=1}^{n}(x_i - \bar{x})(y_i - \bar{y})$
$w_1 = \frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{}$
$w_0 = \bar{y} - w_1\bar{x}$

A second-hand car dealer has 10 cars for sale. He decides to investigate the link between the age
of the cars (x years) and the mileage (y thousand of miles). The data collected from the cars are
shown in Table T2.
Table T2.
Age, x (year)
2
2.5
3
4
4.5
4.5
5
3
6
6.5
Mileage, y (thousands)
22
34
33
37
40
45
49
30
58
58
1. Explain which data mining technique you suggest to implement to predict the Mileage of a car
given its Age. (Give the name of the method and the name and meaning of each of its main
variables).
[1 mark]
2. Write the model corresponding to your answer (Give the necessary details that helps in
understanding your model).
[1 mark]
3. What is the name (i.e.; type) of the relationship between the Age and the Mileage of the car?
[1 mark]
4. Estimate the two parameters Intercept (w0) and slope (w1) of the model with the help of the
following equations and the dataset in Table T2. Give the calculation details for each coefficient
and write the model obtained.
[5 marks]
∑i=1^n(xi - x̅)(yi - y̅)
w1 = (∑i=1^n(xi - x̅)^2)/()
w0 = y̅ - w1x̅

Added by Dillon G.

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