Basic Statistics05 marksNumerical: correlation from regression linesCorrelation coefficient definition and properties
The following are the two regression lines: 3X+2Y=26 & 6X+3Y=31. Compute the correlation coefficient between them and interpret the result.
The following are the two regression lines: 3X+2Y=26 & 6X+3Y=31. Compute the correlation coefficient between them and interpret the result. [5]
- Regression line A: $3X + 2Y = 26$ - Regression line B: $6X + 3Y = 31$ We must first decide which line is "Y on X" and which is "X on Y." The correct assignment is the one that gives a valid correlation coefficient, i.e. $r \le 1$, equivalently $b{yx} \cdot b{xy} \le 1$. Line A → Y on X: