To evaluate the statements regarding the correlation between the size of a vehicle and its fuel efficiency, let's analyze each one:
-
A value of could be a reasonable slope for the function equation.
- This statement is incomplete as it does not specify a value for the slope. In general, a negative slope would make sense in this context, as larger vehicles typically have lower fuel efficiency.
-
There is causation between the size of the vehicle and the fuel efficiency.
- This statement is false. Correlation does not imply causation. While larger vehicles may generally be less fuel-efficient, this does not mean that size directly causes lower fuel efficiency. Other factors could be at play.
-
There is no causation between the size of the vehicle and the fuel efficiency.
- This statement is true. As mentioned earlier, correlation does not equate to causation, so we cannot conclude that the size of the vehicle causes changes in fuel efficiency.
-
The correlation between the two quantities should be fairly strong to strong.
- This statement is likely true. While the strength of the correlation can vary based on specific data, it is reasonable to expect that there would be a significant correlation between vehicle size and fuel efficiency, as larger vehicles tend to have lower efficiency.
Based on this analysis, the true statements are:
- There is no causation between the size of the vehicle and the fuel efficiency.
- The correlation between the two quantities should be fairly strong to strong.
1 answer