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

−0.99
negative 0.99

2.66
2.66

0.90
0.90

Answer 1

To determine the correlation coefficient (r-value) for the linear equation \( y = 43x - 4 \), we can analyze the properties of linear equations.

In general:

• The correlation coefficient, \( r \), for a perfect positive linear relationship is 1.00, and for a perfect negative linear relationship is -1.00.
• For any linear equation of the form \( y = mx + b \), the correlation coefficient will be either 1 or -1 depending on the slope \( m \).

In your equation \( y = 43x - 4 \):

• The slope \( m = 43 \) is positive.

This indicates a perfect positive correlation, so the value of \( r \) is:

1.00

Thus, the correct response is 1.00.