for which data set is a linear regression most reasonable?\no a set of nine data pairs with a correlation…

for which data set is a linear regression most reasonable?\no a set of nine data pairs with a correlation coefficient r = -0.4\no a set of five data pairs with a correlation coefficient r = 0.3\no a set of four data pairs with a correlation coefficient r = -0.8\no a set of six data pairs with a correlation coefficient r = 0.6

for which data set is a linear regression most reasonable?\no a set of nine data pairs with a correlation coefficient r = -0.4\no a set of five data pairs with a correlation coefficient r = 0.3\no a set of four data pairs with a correlation coefficient r = -0.8\no a set of six data pairs with a correlation coefficient r = 0.6

Answer

Answer:

a set of four data pairs with a correlation coefficient $r = - 0.8$

Explanation:

Step1: Understand correlation coefficient

The closer $|r|$ is to 1, the stronger the linear relationship.

Step2: Analyze each option

  • For $r=-0.4$, $|r| = 0.4$.
  • For $r = 0.3$, $|r|=0.3$.
  • For $r=-0.8$, $|r| = 0.8$.
  • For $r = 0.6$, $|r|=0.6$.

Step3: Determine best - fit

The data set with $r=-0.8$ has the highest $|r|$ value among the options, indicating a stronger linear relationship, so linear regression is most reasonable for it.