Question

drag the tiles to the correct boxes to complete the pairs. match the pairs of variables with the type of relationship they show. correlation without causation correlation with causation the number of high school seniors and high school graduates the number of doctors and the number of nurses the amount of snowfall and the number of voters

Explanation:

Step1: Analyze "the number of high school seniors and high school graduates"

These two variables are related because the number of high school graduates is directly dependent on the number of high school seniors (as seniors graduate to become graduates). So this is a correlation with causation.

Step2: Analyze "the amount of snowfall and the number of voters"

Snowfall and number of voters have no causal relationship (snow doesn't cause people to vote or not vote in a direct causal way, and vice versa). So this is a correlation without causation.

Step3: Analyze "the number of doctors and the number of nurses"

In a healthcare setting, the number of doctors and nurses may be related due to the size of the healthcare facility or patient needs, but one doesn't directly cause the other (hiring doctors doesn't cause hiring nurses and vice versa, but they are correlated due to the context of healthcare services). Wait, no—actually, the number of doctors and nurses can be correlated because they are part of the same healthcare system, but is there causation? Let's re - evaluate. The number of high school seniors and graduates: seniors become graduates, so causation. Snowfall and voters: no causation. Doctors and nurses: in a hospital, if the patient load increases, both doctors and nurses may be hired, but one doesn't cause the other. Wait, maybe I made a mistake earlier. Let's correct:

- "the number of high school seniors and high school graduates": Causation (seniors graduate to be graduates), so correlation with causation.
- "the amount of snowfall and the number of voters": No causation, just a correlation (maybe in some regions, but no direct cause - effect), so correlation without causation.
- "the number of doctors and the number of nurses": In a healthcare system, as the need for medical staff increases (due to population, etc.), both doctors and nurses are hired, but one doesn't cause the other. Wait, but maybe in a hospital, if you have more doctors, you might need more nurses to assist, so there could be a causal relationship? Or maybe not. Wait, the key is:

High school seniors → high school graduates (direct causation, as seniors graduate to become graduates). So this pair is correlation with causation.

Snowfall and number of voters: no logical causal link (snow doesn't make people vote or not, and voting doesn't make it snow), so correlation without causation.

Number of doctors and number of nurses: In a healthcare facility, the number of doctors and nurses are related because they work together, but is there a causal link? For example, if a hospital hires more doctors, they may need to hire more nurses to assist those doctors. So there could be a causal relationship. Wait, but maybe the problem considers that as a correlation with causation? No, maybe I messed up. Let's go back to the problem's logic.

The correct matching is:

- Correlation with causation: the number of high school seniors and high school graduates (because seniors become graduates, so one causes the other).
- Correlation without causation: the amount of snowfall and the number of voters (no causal link) and the number of doctors and the number of nurses? Wait, no, maybe the number of doctors and nurses: in a community, the number of doctors and nurses can be correlated because they are both part of the healthcare workforce, but there's no direct causation (hiring a doctor doesn't force hiring a nurse, and vice versa). Wait, the problem might have the following intended matches:

1. Correlation with causation: the number of high school seniors and high school graduates (since seniors graduate to be graduates, so one variable causes the other).
2. Correlation without causation:
- the amount of snowfall and the number of voters (no causal relationship)
- the number of doctors and the number of nurses (maybe in the problem's view, they are related but no direct causation, or maybe I was wrong earlier. But according to the problem's likely intended answer:

So to match:

- "correlation with causation" should be matched with "the number of high school seniors and high school graduates" (because the number of high school graduates is caused by the number of high school seniors who graduate).

- "correlation without causation" should be matched with "the amount of snowfall and the number of voters" and "the number of doctors and the number of nurses"? Wait, no, the problem has three blue tiles and two white tiles. Wait, the white tiles are "correlation with causation" and "correlation without causation", and the blue tiles are three pairs. Wait, maybe the problem is to match each white tile to one or more blue tiles.

Wait, the problem says "Match the pairs of variables with the type of relationship they show." So:

- "correlation with causation": "the number of high school seniors and high school graduates" (because seniors become graduates, so causation).

- "correlation without causation": "the amount of snowfall and the number of voters" (no causation) and "the number of doctors and the number of nurses" (no direct causation, as one doesn't cause the other, but they are correlated due to the healthcare setting).

But maybe the problem considers "the number of doctors and the number of nurses" as having a causal relationship? No, more likely:

High school seniors and graduates: causation (correlation with causation).

Snowfall and voters: no causation (correlation without causation).

Doctors and nurses: no causation (correlation without causation). Wait, but there are two white tiles and three blue tiles. Maybe the problem has a typo, but according to the standard problem like this:

- "the number of high school seniors and high school graduates" → correlation with causation.

- "the amount of snowfall and the number of voters" → correlation without causation.

- "the number of doctors and the number of nurses" → correlation without causation (or maybe correlation with causation? No, because hiring a doctor doesn't cause hiring a nurse, but they are related to the same healthcare need).

Answer:

• correlation with causation: the number of high school seniors and high school graduates
• correlation without causation: the amount of snowfall and the number of voters, the number of doctors and the number of nurses