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Answer the questions below.

(a)
A researcher measured the shoe size and math ability of a large group of children.
She found that having a larger shoe size does not indicate that a child has more or less math ability. What does her analysis show?
•There is no correlation between shoe size and math ability.
•There is a correlation between shoe size and math ability. There may or may not be causation. Further studies would have to be done to determine this.
•There is a correlation between shoe size and math ability. There is probably also causation.
This is because there is likely an increase in math ability with an increase in shoe size.
(b) A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude?
•There is no correlation between amount of bread bought and amount of rice purchased.
•There is a correlation between amount of bread bought and amount of rice purchased.
However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.
•There is a correlation between amount of bread bought and amount of rice purchased.
There may or may not be causation. Further studies would have to be done to determine this.
Ivanna compared the player statistics from her team's tennis season. She determined that being taller implies that a player has faster serves. What should she say based on her findings?
•There is no correlation between height and serve speed.
•There is a correlation between height and serve speed. There may or may not be causation.
Further studies would have to be done to determine this.
OThere is a correlation between height and serve speed. However, there is no causation. This is because there is an increase in serve speed with an increase in height.

3 answers

(a) The correct conclusion from the researcher's analysis is: • There is no correlation between shoe size and math ability.

(b) The conclusion that can be drawn from the grocery store's data is: • There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.

(c) Based on Ivanna's findings, she should say: • There is a correlation between height and serve speed. There may or may not be causation. Further studies would have to be done to determine this.

Incorrect

Let’s review each question:

(a) The researcher found that having a larger shoe size does not indicate that a child has more or less math ability. The correct conclusion is: • There is no correlation between shoe size and math ability.

(b) The grocery store found that when customers buy less bread, they tend to purchase more rice. The best conclusion is: • There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.

(c) Ivanna concluded that being taller implies that a player has faster serves. The correct statement based on her findings should be: • There is a correlation between height and serve speed. There may or may not be causation. Further studies would have to be done to determine this.

If there is a specific point you believe needs adjustment or if my interpretation was misleading, please let me know!