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

1.00
1.00

2.66
2.66

0.90
0.90

−0.99

Answer 1

To find the correlation coefficient for the linear equation \( y = 43x - 4 \), we can recognize that this equation represents a perfect linear relationship between \( x \) and \( y \).

In a perfect linear relationship, the correlation coefficient \( r \) is \( 1 \) for a positive correlation, or \( -1 \) for a negative correlation. The given equation has a positive slope (43), indicating a positive correlation.

Since there are no deviations from the linear trend, the \( r \) value here must be \( 1.00 \).

Therefore, the answer is:

1.00