aaliyah, julio, dan, and miriam are each studying sets of data. aaliyah is working with 14 data pairs with a…

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?\no aaliyahs and julios data sets\no julios and miriams data sets\no dans and miriams data sets\no miriams and aaliyahs data sets

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?\no aaliyahs and julios data sets\no julios and miriams data sets\no dans and miriams data sets\no miriams and aaliyahs data sets

Answer

Answer:

A. Aaliyah’s and Julio’s data sets

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient $r$ measures the strength and direction of a linear relationship. Values close to $|r| = 1$ indicate a strong linear relationship.

Step2: Analyze each person's data

Aaliyah has $r = 0.9$, which is close to 1, indicating a strong positive - linear relationship. Julio has $r=- 0.8$, which is close to - 1, indicating a strong negative - linear relationship. Dan has $r = 0.1$, which is close to 0, indicating a weak linear relationship. Miriam has $r=-0.2$, which is also close to 0, indicating a weak linear relationship.

Step3: Determine reasonable linear regression

Linear regression is reasonable for data sets with strong linear relationships. So, Aaliyah's and Julio's data sets are suitable for linear regression.