determine which correlation coefficient would most likely represent the relationship between the two…
determine which correlation coefficient would most likely represent the relationship between the two variables in each situation. drag numbers to match each situation in the table with the most likely correlation coefficient. situation correlation coefficient amount of time traveling to a destination and remaining distance a persons shoe size and number of books read number of hours spent driving and number of miles driven -0.85 -0.40 0.05 0.90
Answer
Explanation:
Step1: Analyze time - distance relationship
As the amount of time traveling to a destination increases, the remaining distance decreases. This is a strong negative correlation. So, the correlation coefficient for "Amount of time traveling to a destination and remaining distance" is - 0.85.
Step2: Analyze shoe - book relationship
A person's shoe size and the number of books read have no logical relationship. So, the correlation coefficient for "A person's shoe size and number of books read" is 0.05.
Step3: Analyze driving time - miles relationship
The more hours spent driving, the more miles are driven. This is a strong positive correlation. So, the correlation coefficient for "Number of hours spent driving and number of miles driven" is 0.90.
Answer:
| Situation | Correlation Coefficient |
|---|---|
| Amount of time traveling to a destination and remaining distance | - 0.85 |
| A person's shoe size and number of books read | 0.05 |
| Number of hours spent driving and number of miles driven | 0.90 |