Question
The scatter plot represents the advertised horsepower ratings and expected
gas mileage for several 2007 vehicles as reported by Kelly Blue Book.
The correlation coefficient, r, for this data has a value of -0.8687. How could the value of r be interpreted in terms of the data?
Responses
There is a strong and positive linear association between horsepower and gas mileage.
There is a strong and positive linear association between horsepower and gas mileage.
There is a strong and negative linear association between horsepower and gas mileage.
There is a strong and negative linear association between horsepower and gas mileage.
There is a weak and positive linear association between horsepower and gas mileage.
There is a weak and positive linear association between horsepower and gas mileage.
There is a weak and negative linear association between horsepower and gas mileage
gas mileage for several 2007 vehicles as reported by Kelly Blue Book.
The correlation coefficient, r, for this data has a value of -0.8687. How could the value of r be interpreted in terms of the data?
Responses
There is a strong and positive linear association between horsepower and gas mileage.
There is a strong and positive linear association between horsepower and gas mileage.
There is a strong and negative linear association between horsepower and gas mileage.
There is a strong and negative linear association between horsepower and gas mileage.
There is a weak and positive linear association between horsepower and gas mileage.
There is a weak and positive linear association between horsepower and gas mileage.
There is a weak and negative linear association between horsepower and gas mileage
Answers
GPT-4o mini
The correct interpretation of the correlation coefficient \( r = -0.8687 \) is:
**There is a strong and negative linear association between horsepower and gas mileage.**
This is because a correlation coefficient close to -1 indicates a strong negative relationship, meaning that as one variable (horsepower) increases, the other variable (gas mileage) tends to decrease.
**There is a strong and negative linear association between horsepower and gas mileage.**
This is because a correlation coefficient close to -1 indicates a strong negative relationship, meaning that as one variable (horsepower) increases, the other variable (gas mileage) tends to decrease.