for which data set is a linear regression most reasonable?\n a set of nine data pairs with a correlation…

for which data set is a linear regression most reasonable?\n a set of nine data pairs with a correlation coefficient r = -0.4\n a set of five data pairs with a correlation coefficient r = 0.3\n a set of four data pairs with a correlation coefficient r = -0.8\n a set of six data pairs with a correlation coefficient r = 0.6

for which data set is a linear regression most reasonable?\n a set of nine data pairs with a correlation coefficient r = -0.4\n a set of five data pairs with a correlation coefficient r = 0.3\n a set of four data pairs with a correlation coefficient r = -0.8\n a set of six data pairs with a correlation coefficient r = 0.6

Answer

Explanation:

Step1: Understand correlation coefficient

The closer the absolute - value of the correlation coefficient (r) is to 1, the stronger the linear relationship between the variables. A linear regression is most reasonable when there is a strong 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: Compare absolute - values

Among (0.4), (0.3), (0.8) and (0.6), the value closest to 1 is (0.8).

Answer:

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