Fifty cars were driven at various speeds and the stopping distance in feet was measured when brakes were applied. Based on the scatterplot, which of the following describes the correlation between the speed and stopping distance?
There is a positive correlation between stopping distance and speed.
The scatterplot indicates that as the speed of the cars increases, the stopping distance also increases, demonstrating a positive correlation between these two variables. This relationship suggests that higher speeds result in longer stopping distances when brakes are applied.
This choice is incorrect because the data in the scatterplot clearly shows a trend where stopping distance increases with speed. A lack of correlation would imply that changes in speed do not affect stopping distance, which contradicts the observed relationship.
This option misrepresents the data, as a negative correlation would suggest that as speed increases, stopping distance decreases. However, the scatterplot shows the opposite trend, where increasing speed leads to longer stopping distances, indicating a positive correlation instead.
This is the correct answer as the scatterplot illustrates a clear upward trend, meaning that higher speeds correspond to greater stopping distances. This positive correlation supports the idea that speed directly influences how far a car will travel before coming to a stop.
This choice is misleading because while there is a positive correlation, it does not imply a perfect prediction. In real-world scenarios, various factors like road conditions and tire quality can affect stopping distances, making a perfect prediction unrealistic.
The scatterplot reveals a positive correlation between speed and stopping distance, indicating that as speed increases, so does the stopping distance. Incorrect options either deny this correlation or misinterpret its nature, failing to recognize the direct relationship demonstrated in the data. Understanding this correlation is crucial for safe driving practices and vehicle performance assessments.
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