Question

a student noticed that when he eats breakfast, he scores higher on his test grades. can one conclude that this positive correlation shows a causal relationship?
no, because all students eat breakfast
no, because it is possible that the student gets higher test grades because of another factor, such as studying
yes, because it is well known that eating breakfast raises test scores
yes, because it is not a negative correlation
question 15 (multiple choice worth 10 points)
a random sample of packages delivered by a company were tracked if they were delayed or on time and whether they were sent in-state or out-of-state. the relative frequency table displays the data gathered

Explanation:

Correlation does not equal causation. A positive relationship between eating breakfast and higher test scores does not prove breakfast causes the higher scores; there could be confounding variables (like more time for studying when waking up early to eat breakfast) that are the actual cause. The other options are incorrect: not all students eat breakfast, common beliefs don't prove causation, and the direction of correlation doesn't determine causality.

Answer:

No, because it is possible that the student gets higher test grades because of another factor, such as studying

For the second question (Question 15), the data table is missing, so it cannot be answered. Please provide the full relative frequency table details to assist with this part.