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

0.90
0.90

−0.99
negative 0.99

1.00
1.00

2.66

Answer 1

To find the correlation coefficient (r-value) for the linear equation \( y = 43x - 4 \), we note that this is a linear equation where \( y \) is determined directly by \( x \).

In a perfect linear relationship, the correlation coefficient \( r \) will always be either 1 or -1, depending on the direction of the relationship:

• If the slope is positive (as in this equation, where the slope is 43), the correlation coefficient \( r \) will be +1.
• If the slope were negative, \( r \) would be -1.

Since the slope in your equation is positive, we can conclude that the correlation coefficient \( r \) is:

1.00

Therefore, the correct response is 1.00.