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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


(1 point)
Responses

1.00
1.00

2.66
2.66

−0.99
negative 0.99

0.90

1 answer

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

The equation is in the slope-intercept form \( y = mx + b \), where:

  • \( m = 43 \) (the slope)
  • \( b = -4 \) (the y-intercept)

Since this is a perfect linear equation with a positive slope, the correlation coefficient \( r \) will be \( 1.00 \). This indicates a perfect positive linear relationship between \( x \) and \( y \).

Thus, the answer is:

1.00