Question

For which data set is a linear regression most reasonable?

a set of nine data pairs with a correlation coefficient r= -0.4
a set of five data pairs with a correlation coefficient r= 0.3
a set of four data pairs with a correlation coefficient r= -0.8
a set of six data pairs with a correlation coefficient r = 0.6​

Answer 1

C.

Explanation:

edge 2020

Answer 2

The correct option is;

A. A set of nine data pairs with a correlation coefficient r = -0.4

Explanation:

In statistical analysis, it is important to make use of an adequate sample size in order to arrive at a valid result. An analysis with a very small sample size can provide misleading results

When performing regression analysis it is generally accepted by researchers that each variable should have at least 10 observations.

Therefore, the data set having nine data pairs with a negative correlation of -0.4 will provide the most valid result that can then be used for generalization about the larger statistical population.