Question

categorizing relationships between variables
which scenarios have a negative correlation? check all that apply.
the number of calories consumed and the amount of weight lost by a person
the temperature outside and the number of pool guests
the number of children assigned to a class and the number of desks
the price of rice and the number of penguins at the south pole
the thickness of the ice on a lake and the likelihood of falling through the ice

Explanation:

• Calories consumed and weight lost: As calories consumed increase, weight lost (assuming a calorie - deficit for weight loss) would decrease. So, there is a negative correlation.
• Temperature outside and pool guests: As the temperature outside decreases, the number of pool guests is likely to decrease. But wait, no! Wait, actually, when the temperature is high, more people go to the pool. So, temperature outside (higher temperature) and number of pool guests (higher number) is a positive correlation. Wait, no, no. Wait, negative correlation is when one variable increases and the other decreases. When the temperature is low (decrease in temperature), the number of pool guests is low. But that's a positive trend. Wait, no, no. Wait, if we consider it correctly: as the temperature outside goes up (increase), the number of pool guests goes up (increase) - positive correlation. But if we consider the reverse, no. Wait, actually, the first scenario: calories consumed (more calories - harder to lose weight) - negative correlation. The second one: temperature outside (higher) - more pool guests (positive). Third: number of children in a class (more children) - more desks (positive). Fourth: price of rice and penguins (no correlation). Fifth: ice thickness (more thickness) - less likelihood of falling (negative correlation).

Answer:

• the number of calories consumed and the amount of weight lost by a person
• the thickness of the ice on a lake and the likelihood of falling through the ice