Question

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

y=5x+27


(1 point)
Responses

1
1

10
10

−1
negative 1

0

Answer 1

To find the correlation coefficient \( r \) for the linear equation \( y = 5x + 27 \), we need to understand that a perfect linear relationship (whether positive or negative) has a correlation coefficient of either \( 1 \) or \( -1 \).

Since \( y = 5x + 27 \) is a linear equation with a positive slope (5), it indicates a perfect positive linear relationship between \( x \) and \( y \). Therefore, the correlation coefficient \( r \) for this equation is:

\[
r = 1
\]

So the answer is:

1