Scatter Plots Correlation worksheet for students to identify positive, negative, or no association between variables.

Let’s go step by step to solve the problems on both worksheets. We’ll focus on understanding what kind of association (positive, negative, or no association) each situation or graph shows.

---

First Worksheet — Left Side

#### Part 1: Situations with Variables (Questions 1–4)

We need to decide if there’s a positive, negative, or no association between the two variables in each situation.

> Remember:
> - Positive association: As one thing goes up, the other also goes up.
> - Negative association: As one thing goes up, the other goes down.
> - No association: No clear pattern — changes in one don’t affect the other.

---

Question 1:
*The number of hours spent studying and the amount of material learned.*

→ More study time → usually more learning.
✔ Positive association

---

Question 2:
*The number of movies a person has seen and their age.*

→ Older people have had more time to see movies → likely more movies watched.
✔ Positive association

*(Note: This isn’t always true for everyone, but generally, yes — so we go with positive.)*

---

Question 3:
*The temperature outside and the number of layers of clothing worn.*

→ Hotter outside → wear fewer layers. Colder → wear more.
So as temp goes UP, layers go DOWN.
✔ Negative association

---

Question 4:
*Age and number of birthday candles.*

→ Each year you get older, you add one candle.
So age ↑ → candles ↑
✔ Positive association

---

#### Part 2: Scatter Plot Graphs (Questions 5–8)

We look at how the dots are arranged:

- If dots go from bottom-left to top-right → positive
- If dots go from top-left to bottom-right → negative
- If dots are scattered randomly → no association

---

Graph 5:
Dots trend upward from left to right → as x increases, y increases.
✔ Positive association

---

Graph 6:
Dots trend downward from left to right → as x increases, y decreases.
✔ Negative association

---

Graph 7:
Dots are all over the place — no clear direction.
✔ No association

---

Graph 8:
Again, dots are scattered without any clear slope.
✔ No association

---

Second Worksheet — Right Side

#### Part 1: Situations with Variables (Questions 1–4)

Same rules apply.

---

Question 1:
*The number of hours spent babysitting and the amount the babysitter was paid.*

→ More hours → more money earned.
✔ Positive association

---

Question 2:
*The number of quizzes a person has failed and their score on a math test.*

→ More failed quizzes → probably lower test scores? Or maybe not directly related?
But think: failing many quizzes might mean struggling with math → so test score is likely lower.
As failed quizzes ↑ → test score ↓
✔ Negative association

*(Alternative view: Maybe no direct link? But in school context, this is usually negative.)*

---

Question 3:
*The temperature outside and the number of layers of clothing worn.*

Same as before → hotter = fewer layers.
✔ Negative association

---

Question 4:
*The temperature outside and the amount of ice pops sold.*

→ Hotter day → more ice pops sold.
Temp ↑ → sales ↑
✔ Positive association

---

#### Part 2: Scatter Plot Graphs (Questions 5–9)

Look at the direction of the dots.

---

Graph 5:
Dots go from bottom-left to top-right → increasing together.
✔ Positive association

---

Graph 6:
Dots go from top-left to bottom-right → one goes up, other goes down.
✔ Negative association

---

Graph 7:
Dots form a horizontal line? Wait — actually, looking closely: they’re spread out vertically but same x-values? Actually, no — it looks like random scatter.
Wait — let me recheck: In Graph 7, the dots are clustered around a flat area — no upward or downward trend.
✔ No association

*(Actually, upon closer inspection — if all dots have similar y-values regardless of x, that’s still “no association” because y doesn’t change with x.)*

---

Graph 8:
Clear upward trend — bottom-left to top-right.
✔ Positive association

---

Graph 9:
Downward trend — top-left to bottom-right.
✔ Negative association

---

#### Question 10: Create your own example

You can pick anything! Just make sure it fits the type of association you choose.

Example for positive association:
*Number of books read and vocabulary size* → more books → bigger vocabulary.

Example for negative association:
*Hours playing video games and hours sleeping* → more gaming → less sleep.

Example for no association:
*Shoe size and favorite color* → no logical connection.

---

Now, compiling final answers clearly.

──────────────────────────────────────

Final Answer:

Left Worksheet – Situations (1–4):
1. Positive
2. Positive
3. Negative
4. Positive

Left Worksheet – Graphs (5–8):
5. Positive
6. Negative
7. No association
8. No association

Right Worksheet – Situations (1–4):
1. Positive
2. Negative
3. Negative
4. Positive

Right Worksheet – Graphs (5–9):
5. Positive
6. Negative
7. No association
8. Positive
9. Negative

Question 10 (Example):
*Positive association example: The more water you give a plant, the taller it grows (up to a point).*