QUESTION IMAGE
Question
select the correct text in the table. each phrase in the table describes two variables which are strongly correlated. select all phrases that imply correlation without causation. phrase options the number of stuffed animals produced at a factory and the number of newborn babies the number of hits by a baseball team in a game and the number of runs they score the number of people at a store and the number of coupons given out the amount of snow plows on the street and the amount of snowfall the number of videos rented and the number of new films in theaters the number of pets in a neighborhood and the amount of grass fields nearby
To determine strong correlation without causation, we analyze each phrase:
- "The number of stuffed animals produced at a factory and the number of newborn babies": No logical connection, so no strong correlation.
- "The number of hits by a baseball team in a game and the number of runs they score": Hits often lead to runs (causation possible), but also strongly correlated. Wait, no—wait, the problem is correlation without causation. Wait, actually, hits and runs have a causal relationship (more hits can lead to more runs), so this is causation. Wait, maybe I misread. Let's re - evaluate:
- "The number of people at a store and the number of coupons given out": Stores give coupons to attract people, so causation (coupons cause people to come), so causal.
- "The amount of snow plows on the street and the amount of snowfall": More snowfall leads to more snow plows (causation), so causal.
- "The number of videos rented and the number of new films in theaters": New films in theaters might lead people to rent videos (or vice - versa), but is there a strong correlation? Maybe not as strong. Wait, no—wait, the correct ones for correlation without causation:
- "The number of pets in a neighborhood and the amount of grass fields nearby": There's no causal link (pets don't cause grass fields or vice - versa), but they might be correlated (both related to neighborhood size, maybe).
- Wait, maybe I made a mistake. Let's start over. Correlation without causation means two variables are related but one doesn't cause the other.
- "The number of stuffed animals produced at a factory and the number of newborn babies": No correlation.
- "The number of hits by a baseball team in a game and the number of runs they score": Hits can cause runs (causation), so not just correlation.
- "The number of people at a store and the number of coupons given out": Coupons are given to get people to the store (causation), so causal.
- "The amount of snow plows on the street and the amount of snowfall": Snowfall causes more snow plows (causation), so causal.
- "The number of videos rented and the number of new films in theaters": New films might lead to more video rentals (or people go to theaters instead of renting), but is there a strong correlation? Maybe not. Wait, the correct ones are:
- "The number of pets in a neighborhood and the amount of grass fields nearby": No causal relationship, but could be correlated (e.g., larger neighborhoods have more pets and more grass fields).
- Wait, maybe I was wrong earlier. Let's check the standard examples. Correlation without causation examples: ice cream sales and crime rates (both increase in summer, but no causation). So in our case:
- "The number of pets in a neighborhood and the amount of grass fields nearby": No causal link, but could be strongly correlated (as neighborhood size increases, both pets and grass fields might increase).
- "The number of videos rented and the number of new films in theaters": Maybe not. Wait, the other option: "The number of stuffed animals produced at a factory and the number of newborn babies" – no. Wait, maybe the correct phrases are:
- "The number of pets in a neighborhood and the amount of grass fields nearby" and "The number of videos rented and the number of new films in theaters"? No, that doesn't seem right. Wait, let's re - examine the problem statement: "Select all phrases that imply correlation without causation".
- Let's analyze each phrase:
- 1. "The number of stuffe…
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The number of videos rented and the number of new films in theaters
The number of pets in a neighborhood and the amount of grass fields nearby