Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0 point 9 Julio is working with 13 data pairs with a correlation coefficient of negative 0 point 8 Dan is working with 10 data pairs with a correlation coefficient of 0 point 1 Miriam is working with 15 data pairs with a correlation coefficient of negative 0 point 2 For which two data sets is a linear regression model reasonable?
Answer
A
Miriam’s and Aaliyah’s data sets
B
Julio’s and Miriam’s data sets
C
Aaliyah’s and Julio’s data sets
D
Dan’s and Miriam’s data sets
Explanation
A linear regression model is reasonable when the data have a strong linear association, shown by a correlation coefficient close to 1 or −1. Aaliyah’s coefficient is 0.9 and Julio’s is −0.8, so both indicate strong linear relationships. Dan’s 0.1 and Miriam’s −0.2 are close to 0 and indicate weak linear relationships. Therefore, the two suitable data sets are Aaliyah’s and Julio’s.
AI-written and checked against the verified answer.