Find the correlation coefficient of the following linear equation using technology (such as GeoGebra). Round your r-value to two decimal places, if necessary.

Question

y=−32x+6


(1 point)
r=
Remaining Attempts : 3

Answer 1

To find the correlation coefficient (r-value) for the linear equation \( y = -32x + 6 \), you can follow these steps:

1. Understand the equation: The equation is in the form of \( y = mx + b \), where \( m = -32 \) and \( b = 6 \). This means that the relationship is perfectly linear.

2. Determine the correlation: The correlation coefficient \( r \) for a perfect linear relationship is either \( 1 \) or \( -1 \). In this case, because the slope (\( m \)) is negative, the correlation coefficient will be \( -1 \).

3. Using technology: If you were to graph this equation in a technology tool such as GeoGebra and perform a linear regression, the output (for a perfect line) will yield an \( r \) value of \( -1 \).

Therefore, the correlation coefficient for the equation \( y = -32x + 6 \) is:

\[ r = -1 \]