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

y=−32x+6

(1 point)
r=

1 answer

The equation you provided, \( y = -32x + 6 \), represents a linear relationship between \( x \) and \( y \). The correlation coefficient (denoted as \( r \)) quantifies the strength and direction of this linear relationship.

For a perfect linear equation of the form \( y = mx + b \) (where \( m \) is the slope and \( b \) is the y-intercept), the correlation coefficient \( r \) is either 1 or -1, depending on the direction of the relationship.

Since the slope \( -32 \) is negative, the correlation coefficient \( r \) for this equation is:

\[ r = -1 \]

Thus, rounding to two decimal places, we have:

\[ r = -1.00 \]

So, you can state the final answer as:

\[ r = -1 \]