For the Data Below, Test the Significance of the Correlation $\alpha$

question 79

Essay

For the data below, test the significance of the correlation coefficient using α $\alpha$ = 0.10 and the claim ρ $Q = 0 .$ $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } \mathrm { x } & - 10 & - 8 & - 1 & - 4 & - 6 & - 7 & - 5 & - 3 & - 2 & - 9 \\\hline \mathrm { y } & 15 & - 2 & 12 & 1 & 2 & 5 & 9 & - 1 & 10 & 11\end{array}$$

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Definitions:

System Safety Pop-Off Valve

A safety component designed to release excess pressure automatically from a closed system to prevent damage or accidents.

Governor Cut-Out

A mechanism designed to limit the speed of a vehicle or machine by preventing fuel delivery or ignition at a preset speed.

Spring Brake Chamber

A component in air brake systems of vehicles that uses spring force to apply the brakes, particularly for parking or emergency purposes.

Braking Force

The force applied by a braking system to slow down or stop a vehicle.