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

y=43x−4
𝑦
=
4
3
𝑥

4


(1 point)
Responses

−0.99

0.99
negative 0.99

0.90
0.90

1.00
1.00

2.66

1 answer

The correlation coefficient \( r \) measures the strength and direction of a linear relationship between two variables. In the case of the linear equation given, \( y = 43x - 4 \), this represents a perfect linear relationship.

For a perfect linear relationship:

  • The correlation coefficient \( r \) is equal to 1 if the relationship is positive, and \( r \) is equal to -1 if the relationship is negative.

Since the slope of the line (43) is positive, the correlation coefficient \( r \) is:

\[ r = 1.00 \]

Thus, the correct answer from the options provided is:

1.00