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)
0
−1
1
10

Answer 1

The correlation coefficient, often denoted as \( r \), measures the strength and direction of a linear relationship between two variables. For a perfect linear relationship as is represented by the equation \( y = 5x + 27 \), the correlation coefficient is \( r = 1 \).

This specific equation represents a straight line with a positive slope, indicating a perfect positive correlation between \( x \) and \( y \).

Therefore, the answer is:

**1**