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
𝑦
=
4
3
𝑥
−
4

(1 point)
Responses

2.66
2.66

1.00
1.00

−0.99
−
0.99
negative 0.99

0.90

Answer 1

The equation you provided, \( y = 43x - 4 \), is a linear equation, which indicates a perfectly linear relationship between \( x \) and \( y \).

The correlation coefficient \( r \) for a perfectly linear relationship (positive or negative) is either 1 or -1, depending on the direction of the line. Since the slope of the line (43) is positive, the correlation coefficient \( r \) for this equation would be 1.00.

Thus, the correct response is:

1.00