Math / Data & Statistics

QuestionThe line of best fit and the correlation coefficient are calculated for a set of data. The value of the correlation coefficient is $r=0.10$ . What is the strength and type of the correlation for this data? A) weak and negative B) weak and positive C) strong and negative D) strong and positive

Studdy Solution

STEP 1

1. The correlation coefficient $r$ is a measure of the strength and direction of a linear relationship between two variables.
2. The value of $r$ ranges from $-1$ to $1$ .
3. A correlation coefficient close to $0$ indicates a weak correlation, while a value close to $-1$ or $1$ indicates a strong correlation.
4. A positive $r$ indicates a positive correlation, and a negative $r$ indicates a negative correlation.

STEP 2

1. Determine the strength of the correlation based on the value of $r$ .
2. Determine the type of correlation (positive or negative) based on the sign of $r$ .

STEP 3

Evaluate the strength of the correlation:
- Since $r = 0.10$ , which is close to $0$ , the correlation is weak.

STEP 4

Evaluate the type of correlation:
- Since $r = 0.10$ is positive, the correlation is positive.
The correlation is:
$\text{B) weak and positive}$

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