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=

Answer 1

The linear equation you provided is in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

For this specific case, the linear equation is \( y = -32x + 6 \). This is a perfect negative linear relationship between \( x \) and \( y \) since it describes a linear equation.

In a perfect linear relationship, the correlation coefficient \( r \) is 1 for a perfect positive linear relationship and -1 for a perfect negative linear relationship.

Since your equation has a negative slope (-32), the correlation coefficient \( r \) is:

\[ r = -1.00 \]

Thus, the correlation coefficient \( r \) for this equation is \( -1.00 \).