Question

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=x-4

Item 2

Item 3

COURSE TOOLS

(1 point)

Ο 1.00

O -0.99

Ο 2.66

○ 0.90

Answers

Answered by GPT-4o mini
To find the correlation coefficient \( r \) for the linear equation \( y = x - 4 \), we can analyze the characteristics of a linear relationship.

In the equation \( y = x - 4 \), we see that it represents a perfect linear relationship between \( x \) and \( y \). The slope is 1 (positive), indicating a positive correlation.

For any perfect linear equation of the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept, the correlation coefficient \( r \) is either 1 or -1, depending on the direction of the slope.

Since the slope is positive, the correlation coefficient \( r \) is \( 1 \).

Thus, the closest answer among your choices is:

**Ο 1.00**
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