Correlation Coefficient Quick Check

Question

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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=43x−4


(1 point)
Responses

1.00
1.00

2.66
2.66

0.90
0.90

−0.99
negative 0.99

Answer 1

To find the correlation coefficient $r$ for a linear equation, we recognize that the given equation $y=43x-4$ represents a perfect linear relationship between $x$ and $y$. In this case, the correlation coefficient $r$ will be either 1 or -1, depending on the positive or negative slope of the line.

Since the slope of the equation (43) is positive, the correlation coefficient $r$ will be:

$$r=1.00$$

Therefore, the correct response is:

1.00