Question
Emily wants to determine the relationship between the number of people in a household (x) and the last 4 digits of their phone number (y). She randomly selects 100 households in her town and examines the data.
What is the ,begin emphasis,best,end emphasis, estimate of the correlation coefficient between x and y?
Answer options with 4 options
A. -0.5
B. 0
C. 0.5
D. 1
What is the ,begin emphasis,best,end emphasis, estimate of the correlation coefficient between x and y?
Answer options with 4 options
A. -0.5
B. 0
C. 0.5
D. 1
Answers
GPT-4o mini
To determine the best estimate of the correlation coefficient between the number of people in a household (x) and the last 4 digits of their phone number (y), we need to consider the nature of the two variables.
The number of people in a household is a discrete variable that can vary, but the last 4 digits of a phone number are essentially arbitrary and do not have a direct meaningful relationship with the number of residents. Generally, the last 4 digits of a phone number are unlikely to correlate with the number of people living in the household.
Considering these factors, the most reasonable estimate of the correlation coefficient would be:
**B. 0**
This indicates no correlation between the two variables.
The number of people in a household is a discrete variable that can vary, but the last 4 digits of a phone number are essentially arbitrary and do not have a direct meaningful relationship with the number of residents. Generally, the last 4 digits of a phone number are unlikely to correlate with the number of people living in the household.
Considering these factors, the most reasonable estimate of the correlation coefficient would be:
**B. 0**
This indicates no correlation between the two variables.