Question

1. if the correlation coefficient, r, of a data set is r = 0.32. what type of correlation does the data have? a) weak negative b) strong positive c) strong negative d) weak positive e) no correlation

Explanation:

Step1: Analyze sign of correlation coefficient

The given correlation coefficient $r = 0.32$ is positive. A positive $r$ - value indicates a positive correlation, so we can rule out options a) and c) which are negative - correlation options.

Step2: Analyze strength of correlation

The magnitude of the correlation coefficient $|r|$ determines the strength of the correlation. Generally, if $|r|\lt0.5$, the correlation is considered weak. Since $|0.32|\lt0.5$, the correlation is weak.

Answer:

d) Weak Positive