An Automotive Association (AA) analysed the relationship between engine volume and mileage, given the same volume of petrol. Table 6 is tabulated for nine standard-transmission, four cylinders,...


An Automotive Association (AA) analysed the relationship between engine volume and<br>mileage, given the same volume of petrol. Table 6 is tabulated for nine standard-transmission,<br>four cylinders, petrol-fuelled cars from different car manufacturer. The engine volume is in<br>total cubic kilometre (km).<br>Table 6: Engine volume and mileage of different car manufacturer<br>Engine volume, x<br>(cubic km)<br>Mileage, y<br>(km)<br>Car<br>manufacturer<br>Honda<br>97<br>24<br>Datsun<br>85<br>29<br>Chevrolet<br>98<br>26<br>Mazda<br>105<br>24<br>Proton<br>120<br>24<br>Perodua<br>151<br>22<br>Toyota<br>Nissan<br>140<br>23<br>134<br>23<br>Kia<br>146<br>21<br>Based on the given data,<br>i)<br>Find the least squares equation (i.e., linear regression) for the data.<br>ii)<br>Use the least-square equation to estimate the mileage for a car which has 125 cubic km<br>engine volume.<br>

Extracted text: An Automotive Association (AA) analysed the relationship between engine volume and mileage, given the same volume of petrol. Table 6 is tabulated for nine standard-transmission, four cylinders, petrol-fuelled cars from different car manufacturer. The engine volume is in total cubic kilometre (km). Table 6: Engine volume and mileage of different car manufacturer Engine volume, x (cubic km) Mileage, y (km) Car manufacturer Honda 97 24 Datsun 85 29 Chevrolet 98 26 Mazda 105 24 Proton 120 24 Perodua 151 22 Toyota Nissan 140 23 134 23 Kia 146 21 Based on the given data, i) Find the least squares equation (i.e., linear regression) for the data. ii) Use the least-square equation to estimate the mileage for a car which has 125 cubic km engine volume.

Jun 09, 2022
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