Math / Data & Statistics

QuestionComplete the sentence below. The linear correlation coefficient is always between $\square$ and $\square$ inclusive. (Type integers or decimals. Use ascending order.)

Studdy Solution

STEP 1

1. The linear correlation coefficient refers to Pearson's correlation coefficient.
2. The correlation coefficient measures the strength and direction of a linear relationship between two variables.

STEP 2

1. Define the range of the linear correlation coefficient.

STEP 3

The linear correlation coefficient, denoted as $r$ , ranges from -1 to 1. This means that:
- A value of $r = -1$ indicates a perfect negative linear relationship. - A value of $r = 0$ indicates no linear relationship. - A value of $r = 1$ indicates a perfect positive linear relationship.
The linear correlation coefficient is always between $-1$ and $1$ inclusive.

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