Question

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
𝑦
=
−
3
2
𝑥
+
6


(1 point)
r=
𝑟
=

Answer 1

The equation you provided, \( y = -32x + 6 \), is a linear equation in slope-intercept form. In a simple linear regression scenario, the correlation coefficient \( r \) represents the strength and direction of the linear relationship between two variables.

Since this is a perfectly linear equation, the correlation coefficient \( r \) will be either -1 or 1, depending on whether the slope is negative or positive.

In this case, the slope is -32, indicating a negative relationship. Therefore, the correlation coefficient is:

\[ r = -1 \]

There is no need for technology like GeoGebra in this specific situation, since the line is perfectly linear as represented by the equation. Thus, we round \( r \) to two decimal places, but it remains:

\[ r = -1.00 \]

So, the answer is:

\[ r = -1 \]