Pregunta
Emily wants to determine the relationship between the number of people in a household
and the last 4 digits of their phone number (
).
She randomly selects 100 households in her town and examines the data.
What is the best estimate of the correlation coefficient between
and
?
A. -0.5
B. 0
C. 0.5
D. 1
She randomly selects 100 households in her town and examines the data.
What is the best estimate of the correlation coefficient between
A. -0.5
B. 0
C. 0.5
D. 1
Ask by Wheeler Davey. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The best estimate of the correlation coefficient between the number of people in a household and the last 4 digits of their phone number is 0.
Solución
The number of people in a household (
) and the last 4 digits of a phone number (
) are generally unrelated variables.
-
Household Size (
): This is typically an integer value representing the number of individuals living in a household. -
Last 4 Digits of Phone Number (
): These digits are usually assigned randomly and do not have any inherent relationship with household size.
Since there’s no logical or causal connection between the number of people in a household and the last 4 digits of their phone number, we would expect no correlation between these two variables.
Correlation Coefficient Interpretation:
- 0 indicates no linear relationship.
- 1 or -1 indicate perfect positive or negative linear relationships, respectively.
- Values between 0 and 1 or 0 and -1 indicate varying degrees of positive or negative correlation.
Given the lack of any expected relationship, the best estimate for the correlation coefficient in this scenario is:
Answer: B. 0
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To determine the correlation coefficient between the number of people in a household and the last 4 digits of their phone number, we need to consider the nature of these two variables. The number of people in a household
doesn’t have a logical connection to the last 4 digits of a phone number
, as they are independent.
With that in mind, the best estimate for the correlation coefficient in this scenario would be B. 0, indicating no correlation between the two variables.
On a lighter note, it’s like trying to find a connection between the amount of ice cream consumed and the number of rainy days—both are out there, but they’re dancing to their own tunes!

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