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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?


a)Aaliyah’s and Julio’s data sets


b)Julio’s and Miriam’s data sets


c)Dan’s and Miriam’s data sets


d)Miriam’s and Aaliyah’s data sets

Verified Answer :

MissPhiladelphia

To determine if the data set has a good linear relationship, you have to interpret the correlation coefficient, r. It ranges between -1 to 1. The closer it gets to the whole integers, either -1 or 1, the better is the linear fit. The negative sign designates that there is an inverse linear relationship, while the positive is directly proportional. 

Among the correlation coefficients stated in the problem, Aaliyah and Julio are closer to the integers. Thus, the answer is letter A.

Answer:

the answer is A

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