Question

a correlation coefficient indicates the linear fit between two variables.
rag each correlation coefficient on the left to the correct description on the right.
-0.80
0.07
0.95
-0.13
0
the correlation coefficient indicates a strong positive correlation between two variables.
the correlation coefficient indicates a strong negative correlation between two variables.
the correlation coefficient indicates no correlation between two variables.
the correlation coefficient indicates a weak positive correlation between two variables.
the correlation coefficient indicates a weak negative correlation between two variables.

Explanation:

Step1: Recall correlation rules

Correlation coefficient \( r \): \( |r| \) near 1 = strong, near 0 = weak/no. Positive \( r \): positive correlation; negative \( r \): negative correlation. \( r = 0 \): no correlation.

Step2: Match -0.80

\( r = -0.80 \): negative, \( |r| = 0.80 \) (strong). So matches "strong negative correlation".

Step3: Match 0.07

\( r = 0.07 \): positive, \( |r| = 0.07 \) (weak). So matches "weak positive correlation".

Step4: Match 0.95

\( r = 0.95 \): positive, \( |r| = 0.95 \) (strong). So matches "strong positive correlation".

Step5: Match -0.13

\( r = -0.13 \): negative, \( |r| = 0.13 \) (weak). So matches "weak negative correlation".

Step6: Match 0

\( r = 0 \): no correlation. So matches "no correlation between two variables".

Answer:

-0.80 → The correlation coefficient indicates a strong negative correlation between two variables.
0.07 → The correlation coefficient indicates a weak positive correlation between two variables.
0.95 → The correlation coefficient indicates a strong positive correlation between two variables.
-0.13 → The correlation coefficient indicates a weak negative correlation between two variables.
0 → The correlation coefficient indicates no correlation between two variables.