The harder a gas pedal in a car is pressed, the faster the car’s velocity increases. Which phrase best describes the relationship between how hard the gas pedal is pressed and the acceleration of the car?
There is both a positive correlation and causation.
There is a negative correlation but no causation.
There is both a negative correlation and causation.
There is a positive correlation but no causation
There is both a positive correlation and causation :)
There is a positive correlation but no causation.
The correct phrase that describes the relationship between how hard the gas pedal is pressed and the acceleration of the car is "There is both a positive correlation and causation."
To understand why this is the correct answer, let's break it down:
A positive correlation means that as one variable increases, the other variable also increases. In this case, as the gas pedal is pressed harder, the car's velocity (or speed) increases, which indicates a positive correlation between these two variables.
Causation, on the other hand, means that one variable directly influences or causes a change in another variable. In this scenario, pressing the gas pedal harder causes the car to accelerate and increase its velocity. Therefore, there is a causal relationship between how hard the gas pedal is pressed and the acceleration of the car.
It's important to note that the other listed options are not accurate. A negative correlation suggests that as one variable increases, the other decreases, which contradicts the given scenario. The absence of causation would mean that pressing the gas pedal harder does not directly cause the car to accelerate, which is also not the case here.