(a)A researcher measured the shoe size and math ability of a large group of children. He found that having a larger shoe size does not indicate that a child has more or less math ability. What does his 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.(c)Jim compared the player statistics from his team's tennis season. He determined that being taller implies that a player has faster serves. What should he say based on his 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.There 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.
Question
(a)A researcher measured the shoe size and math ability of a large group of children. He found that having a larger shoe size does not indicate that a child has more or less math ability. What does his 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.(c)Jim compared the player statistics from his team's tennis season. He determined that being taller implies that a player has faster serves. What should he say based on his 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.There 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.
Solution
(a) The researcher's analysis shows that there is no correlation between shoe size and math ability. This means that a child's shoe size does not predict their math skills.
(b) From the grocery store's sales data, we can conclude that there is a correlation between the amount of bread bought and the amount of rice purchased. However, this does not necessarily imply causation. It simply means that when customers buy less bread, they tend to purchase more rice. Further studies would be needed to determine if there is a causal relationship.
(c) Based on Jim's findings from the tennis season, there is a correlation between height and serve speed. This means that taller players tend to have faster serves. However, this does not necessarily mean that being taller causes a player to have a faster serve. Further studies would be needed to determine if there is a causal relationship.
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