An automotive company is interested in identifying on how their car price depreciates. A researcher from the company took a sample of ten cars of their first model and collected the following information on the ages (in years) and prices (in hundreds of ringgit) of cars. The data were recorded as in Table Q2(a). Table Q2(a): Relationship between ages and price of cars Age Price 10 13 3 230 8 80 50 2 230 5 134 7 112 2 250 3 180 170 (i) Construct a scatter diagram for the data as in Table Q2(a). (ii) Find the regression equation with price as a dependent variable and age as an independent variable. Interpret the results obtained. (iii) Find the value of correlation and coefficient of determination. Interpret the values obtained. (iv) Estimate and interpret the price of a 8 year old car of this model.

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(a)
An automotive company is interested in identifying on how their car price depreciates.
A researcher from the company took a sample of ten cars of their first model and
collected the following information on the ages (in years) and prices (in hundreds of
ringgit) of cars. The data were recorded as in Table Q2(a).
Table Q2(a): Relationship between ages and price of cars
Age
Price
10
13
3
230
8
80
50
2
230
134
7
112
2
250
3
180
4
170
(i)
Construct a scatter diagram for the data as in Table Q2(a).
(ii)
Find the regression equation with price as a dependent variable and age as an
independent variable. Interpret the results obtained.
(iii) Find the value of correlation and coefficient of determination. Interpret the
values obtained.
(iv) Estimate and interpret the price of a 8 year old car of this model.
Transcribed Image Text:(a) An automotive company is interested in identifying on how their car price depreciates. A researcher from the company took a sample of ten cars of their first model and collected the following information on the ages (in years) and prices (in hundreds of ringgit) of cars. The data were recorded as in Table Q2(a). Table Q2(a): Relationship between ages and price of cars Age Price 10 13 3 230 8 80 50 2 230 134 7 112 2 250 3 180 4 170 (i) Construct a scatter diagram for the data as in Table Q2(a). (ii) Find the regression equation with price as a dependent variable and age as an independent variable. Interpret the results obtained. (iii) Find the value of correlation and coefficient of determination. Interpret the values obtained. (iv) Estimate and interpret the price of a 8 year old car of this model.
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