Question

the table shows test scores for five students. do the data show a positive or a negative correlation? do the data show causation or no causation?

the data show a correlation.

the data show

Explanation:

Step1: Analyze the trend

As Chemistry scores increase (78→64→82→75→93, ignoring the minor dip, overall increasing), Geography scores also increase (84→71→87→81→99, ignoring the minor dip, overall increasing). So, there is a positive correlation.

Step2: Check causation

Just because two sets of scores (Chemistry and Geography) have a positive correlation does not mean one causes the other. A student's performance in Chemistry does not cause their performance in Geography. There could be other factors like overall study habits, intelligence, etc. So, there is no causation.

Answer:

The data show a positive correlation. The data show no causation.