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 best estimate of the correlation coefficient between \( x \) and \( y \) ? A. -0.5 B. 0 C. 0.5 D. 1

The number of people in a household (\( x \)) and the last 4 digits of a phone number (\( y \)) are generally unrelated variables. - **Household Size (\( x \))**: This is typically an integer value representing the number of individuals living in a household. - **Last 4 Digits of Phone Number (\( y \))**: 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