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match the correlation coefficient with the proper scatter - plot graph.…

Question

match the correlation coefficient with the proper scatter - plot graph.

  1. r = - 0.6
  2. r = 0.95
  3. r = - 0.85
  4. r = 0.5

Explanation:

Step1: Understand correlation concept

Positive correlation: points go up - right; negative correlation: points go down - right. Closer $|r|$ is to 1, stronger the correlation.

Step2: Analyze first scatter - plot

The first scatter - plot (people flying kites) has a weak positive correlation. $r = 0.5$ indicates a weak positive linear relationship.

Step3: Analyze second scatter - plot

The second scatter - plot (walking speed) has a strong positive correlation. $r = 0.95$ indicates a strong positive linear relationship.

Step4: Analyze third scatter - plot

The third scatter - plot (miles traveled) has a strong negative correlation. $r=-0.85$ indicates a strong negative linear relationship.

Step5: Analyze fourth scatter - plot

The fourth scatter - plot (cars on highway) has a weak negative correlation. $r = - 0.6$ indicates a weak negative linear relationship.

Answer:

  1. $r = 0.5$
  2. $r = 0.95$
  3. $r=-0.85$
  4. $r=-0.6$