QUESTION IMAGE
Question
determine which correlation coefficient would most likely represent the relationship between the two variables in each situation. use numbers to match each situation in the table with the most likely correlation coefficient.
| situation | correlation coefficient |
|---|---|
| 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
Step1: Analyze first situation
As time traveling to a destination increases, remaining distance decreases. This is a strong negative correlation. So, the correlation coefficient is - 0.85.
Step2: Analyze second situation
A person's shoe - size and number of books read have no logical connection. There is little to no correlation. So, the correlation coefficient is 0.05.
Step3: Analyze third situation
As the number of hours spent driving increases, the number of miles driven also increases. This is a strong positive correlation. So, the correlation coefficient is 0.90.
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| Situation | Correlation Coefficient |
|---|---|
| A person's shoe size and number of books read | 0.05 |
| Number of hours spent driving and number of miles driven | 0.90 |