how do we select phrases that imply correlation without causation

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 select phrases that imply correlation without causation, you can look for statements that suggest a relationship or association between two variables but do not imply that one variable directly causes the other. Here are some examples from the given phrases:

1. "The number of stuffed animals produced at a factory and the number of newborn babies." This phrase implies a correlation between the two variables without stating that the production of stuffed animals causes an increase or decrease in the number of newborn babies.

2. "The number of hits by a baseball team in a game and the number of runs they score." This phrase suggests a correlation between the number of hits and the number of runs scored but does not imply a direct cause-effect relationship.

3. "The number of people at a store and the number of coupons given out." This phrase implies a correlation between the number of people at a store and the number of coupons given out, but it doesn't assert that one factor causes the other.

4. "The amount of snow plows on the street and the amount of snowfall." This phrase suggests a correlation between the number of snow plows on the street and the amount of snowfall, but it doesn't imply that snow plows cause more or less snowfall.

5. "The number of videos rented and the number of new films in theaters." This phrase implies a correlation between the number of videos rented and the number of new films in theaters, without claiming that one factor causes the other.

6. "The number of pets in a neighborhood and the amount of grass fields nearby." This phrase suggests a correlation between the number of pets and the amount of grass fields nearby, but it does not imply that having more pets causes an increase or decrease in nearby grass fields.