Question

By looking at the equation of the least-squares regression line, you can see that the correlation between height and arm span is?

1) Positive
2) Negative
3) Zero
4) Cannot be determined

Answer 1

The correlation between height and arm span, based on the least-squares regression line, can be positive, negative, or zero, and is indicated by the sign of the slope in the regression equation.

Step-by-step explanation:

By looking at the equation of the least-squares regression line, the correlation between height and arm span can generally be determined as either positive, negative, or zero. If the slope (b) in the equation ý = a + bx is positive, then the correlation is positive, meaning that as height increases, arm span also increases.

If the slope is negative, then the correlation is negative, indicating that as height increases, arm span decreases. If the slope is zero, it suggests there is no correlation between the two variables. Without the specific equation or the slope, we cannot determine the exact nature of the correlation.