A Sample of Eight Observations of Variables X and Y

question 82

Essay

A sample of eight observations of variables x and y is shown below: $$\begin{array} { | l | r | r | r | r | r | r | r | r | } \hline x & 5 & 3 & 7 & 9 & 2 & 4 & 6 & 8 \\\hline y & 20 & 23 & 15 & 11 & 27 & 21 & 17 & 14 \\\hline\end{array}$$ Calculate the covariance and the coefficient of correlation, and comment on the relationship between X and Y.

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Definitions:

Final Drive Component

The set of gears in a vehicle that delivers power to the drive wheels, finalizing the gear reduction process.

Drive Axle

A component of a vehicle's drivetrain that transfers power from the transmission to the wheels, enabling movement.

Differential Carrier

The housing that contains the differential gear set in a vehicle, supporting and protecting the gears as they adjust wheel speed during turns.

Crown and Pinion

A gear assembly in a vehicle's differential where the pinion (a small gear) engages with the crown (a larger gear) to allow wheels to rotate at different speeds.