Look back at your data and your regression equation. (sample data is shown to the right, with x = pressure and y = volume.) check all statements that are true. as the pressure of the gas increased, the volume of the gas decreased. for all pairs of data of pressure and volume, p • v was appoximately the same. for all pairs of data of pressure and volume, p • v mr001-1.jpg k for the same value k. the regression equation was of the form v = kp–1 (which is the same as v = k/p).

The answer is: all true

A. As the pressure of the gas increased, the volume of the gas decreased.
It is clear that if you compare the data on the left side. When the pressure increased the volume is decreased.

B. For all pairs of data of pressure and volume, P • V was appoximately the same.
The pressure is inversely related to the volume. You can take two data to prove it. Let use the first and second data
V * P= 1.03 * 50= 51.5
V * P= 1.08 * 47.5= 51.3

C. For all pairs of data of pressure and volume, P • V mr001-1.jpg k for the same value k.
D. The regression equation was of the form V = kP–1 (which is the same as V = k/P).
The value of k can be expressed as k= P*V. If the equation is turned around, it could be expressed as V= k/P
The value of k is constant on different data, proved by the calculation on the second statement above. The value of k should be around 51.5

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