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

Question

y=43x−4

(1 point)
Responses

−0.99
negative 0.99

2.66
2.66

1.00
1.00

0.90

Answer 1

The correlation coefficient \( r \) for a linear equation of the form \( y = mx + b \) (where \( m \) and \( b \) are constants) is determined by the slope \( m \) of the line. In this case, the slope \( m = 43 \).

The correlation coefficient \( r \) can range from -1 to 1. A positive slope indicates a positive correlation, while a negative slope indicates a negative correlation. Since \( m \) is positive, we expect \( r \) to be positive.

For a perfect linear relationship, \( r = 1 \). Given that the equation is a perfect linear equation, the correlation coefficient here should indeed be:

\[ r = 1.00 \]

So, the answer is:

1.00