a) The Big Bike Association (BBA) is analyzing the relationship between engine volume and mileage, given the same volume of petrol. Table 4 is tabulated for liquid-cooled 4- stroke 16-valve cylinder engine from different big bike manufacturers. The engine volume is in total cubic km. Table 4: Engine volume and mileage of different big bike manufacturer Engine volume, x Big Bike manufacturer (cubic km) A B D DEFG 97 88 105 151 140 134 118 Mileage, y (km) 24 21 24 25 22 23 22 Based on the given data, i. Find the summation of x, y, x², y² and xy for the above data. ii. Find the linear regression equation using the least squares method. iii. Use the equation found in (5(a-ii)) to estimate the mileage for a motorbike which has 120 cubic km engine volume.

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a)
The Big Bike Association (BBA) is analyzing the relationship between engine volume
and mileage. given the same volume of petrol. Table 4 is tabulated for liquid-cooled 4-
stroke 16-valve cylinder engine from different big bike manufacturers. The engine
volume is in total cubic km.
Table 4: Engine volume and mileage of different big bike manufacturer
Big Bike
Engine volume, x
manufacturer
(cubic km)
ABCDEFG
с
97
88
105
151
140
134
118
Mileage, y
(km)
24
21
722222
24
25
23
Based on the given data,
i. Find the summation of x, y, x², y² and xy for the above data.
ii. Find the linear regression equation using the least squares method.
iii. Use the equation found in (5(a-ii)) to estimate the mileage for a motorbike which has
120 cubic km engine volume.
Transcribed Image Text:a) The Big Bike Association (BBA) is analyzing the relationship between engine volume and mileage. given the same volume of petrol. Table 4 is tabulated for liquid-cooled 4- stroke 16-valve cylinder engine from different big bike manufacturers. The engine volume is in total cubic km. Table 4: Engine volume and mileage of different big bike manufacturer Big Bike Engine volume, x manufacturer (cubic km) ABCDEFG с 97 88 105 151 140 134 118 Mileage, y (km) 24 21 722222 24 25 23 Based on the given data, i. Find the summation of x, y, x², y² and xy for the above data. ii. Find the linear regression equation using the least squares method. iii. Use the equation found in (5(a-ii)) to estimate the mileage for a motorbike which has 120 cubic km engine volume.
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