Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0.9. Julio is working with 13 data pairs with a correlation coefficient of –0.8. Dan is working with 10 data pairs with a correlation coefficient of 0.1. Miriam is working with 15 data pairs with a correlation coefficient of –0.2. For which two data sets is a linear regression model reasonable?

AAaliyah’s and Julio’s data sets
BJulio’s and Miriam’s data sets
CDan’s and Miriam’s data sets
DMiriam’s and Aaliyah’s data sets

We know that the correlation refers to the strength of a relationship between two variables where a strong correlation means that two or more variables have a strong reasonable relationship with each other.

For strong correlation, the value of correlation coefficient must be nearest to the absolute value of 1.

Here the nearest value of correlation coefficient is 0.9 , which is nearest to +1, Hence there is strong positive correlation among all and the nearest value of correlation coefficient is -0.8 , which is nearest to -1, Hence there is strong negative correlation among all.

Therefore, Aaliyah’s and Julio’s data sets are the sets where linear regression model is reasonable.