The following information regarding a dependent variable (Y) and an independent variable (X) is provided. YX4231446385 SSE = 6SST = 16 The coefficient of correlation isGroup of answer choices.625-.7906.375.7906

The coefficient of correlation, often denoted as r, is a measure of the strength and direction of the relationship between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation.

The coefficient of determination, denoted as r^2, is the square of the coefficient of correlation. It measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Given that SSE (Sum of Squares due to Error) is 6 and SST (Total Sum of Squares) is 16, we can calculate the coefficient of determination (r^2) using the formula:

r^2 = 1 - (SSE/SST)

Substituting the given values:

r^2 = 1 - (6/16) = 0.625

The coefficient of correlation (r) is the square root of the coefficient of determination. However, it can be either positive or negative. The sign is determined by the nature of the relationship between the variables. Without this information, we can only say that the absolute value of r is the square root of 0.625, which is approximately 0.7906.

So, the coefficient of correlation could be either 0.7906 or -0.7906.