Scatter Plot Worksheet For questions 1-3 a. Identify the ... - Free Printable

Let’s go step by step through each question.

---

Question 1:

Look at the scatter plot. The points go from top-left to bottom-right — as x increases, y decreases. That means there’s a negative correlation.

Real-life situation: Think of how much time you spend playing video games vs. your test scores. More gaming might mean lower scores — so as one goes up, the other goes down.

→ a. Negative correlation
→ b. Example: Hours spent watching TV vs. grades in school (more TV = lower grades)

---

Question 2:

The points are all over the place — no clear pattern going up or down. So, no correlation.

Real-life situation: Shoe size vs. favorite color. There’s no reason these should be related — big shoes don’t mean you like blue more!

→ a. No correlation
→ b. Example: Number of pets someone has vs. their height

---

Question 3:

Points go from bottom-left to top-right — as x increases, y increases. That’s a positive correlation.

Real-life situation: How many hours you study vs. your quiz score. More studying usually leads to higher scores.

→ a. Positive correlation
→ b. Example: Amount of practice vs. performance in sports

---

Question 4:

We need to make a scatter plot using the table data.

Let’s pick:
- X-axis: Homeowners (regular residents)
- Y-axis: Vacation homeowners

Plot these pairs:

(2090, 973) → 1997–98
(1987, 967) → 1996–97
(1948, 1041) → 1995–96
(1897, 1043) → 1994–95
(1962, 1125) → 1993–94
(1852, 1126) → 1992–93

Now look at the trend: As regular homeowners decrease slightly over time, vacation homeowners increase. But if we plot homeowners (x) vs vacation homeowners (y), when x is high (like 2090), y is low (973). When x is low (like 1852), y is high (1126). So it looks like a negative trend.

Draw a line that slopes downward from left to right — that’s the trend line.

You can sketch this on graph paper with x from ~1800 to 2100 and y from ~950 to 1150.

---

Question 5:

Look at the points. They form a straight vertical line? Wait — actually, they’re stacked vertically at x=0? Let me check coordinates.

From the grid: Points seem to be at:

(-1, 10), (-1, 12), (-1, 14), (-1, 16)? Wait — looking again...

Actually, plotting carefully:

It seems points are at:

x = -1: y = 10, 12, 14, 16? Or maybe not.

Wait — let's read the grid properly.

Assuming origin O is (0,0).

Looking at Question 5 graph:

Points appear to be:

At x = -1: y = 10, 12, 14, 16? Actually, looking at labels — y-axis has 10, 12, 14, 16 marked.

But also point at (0, 10)? And maybe (1, 10)?

Actually, re-examining — perhaps better to list approximate coordinates:

Let’s assume:

Point A: (-1, 16)
Point B: (-1, 14)
Point C: (-1, 12)
Point D: (-1, 10)
Point E: (0, 10)
Point F: (1, 10)

This does NOT follow a linear pattern — because for same x=-1, multiple y values. Also, then jumps to (0,10) and (1,10). Not a function, definitely not linear.

So — does NOT follow a linear pattern.

No equation needed.

---

Question 6:

Grid shows points roughly at:

(-3, 6), (-2, 4), (-1, 2), (0, 0), (1, -2), (2, -4), (3, -6)

Check slope between first two: from (-3,6) to (-2,4): rise = -2, run = +1 → slope = -2

Next: (-2,4) to (-1,2): same → slope = -2

Then (-1,2) to (0,0): slope = -2

All consistent! So yes, linear.

Equation: y = mx + b

m = -2

Use point (0,0): y = -2x + 0 → y = -2x

Check another point: x=3 → y=-6 ✔️

→ Yes, linear. Equation: y = -2x

---

Question 7:

Points seem to be:

(-6, 2), (-5, 4), (-4, 6), (-3, 8), (-2, 10), (-1, 12), (0, 14), (1, 16), (2, 18)

Check slope:

From (-6,2) to (-5,4): rise=+2, run=+1 → slope=2

Same for next: (-5,4) to (-4,6): slope=2

Continues consistently.

So linear.

Equation: y = mx + b

m = 2

Use point (0,14): y = 2x + 14

Check: x=-6 → y=2*(-6)+14 = -12+14=2 ✔️

x=2 → y=4+14=18 ✔️

→ Yes, linear. Equation: y = 2x + 14

---

Final Answers:

1a. Negative correlation
1b. Example: Hours spent watching TV vs. test scores

2a. No correlation
2b. Example: Shoe size vs. favorite color

3a. Positive correlation
3b. Example: Study time vs. quiz score

4. Scatter plot drawn with negative trend; trend line sloping downward

5. Does NOT follow linear pattern

6. Follows linear pattern; equation: y = -2x

7. Follows linear pattern; equation: y = 2x + 14

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

Final Answer:
1a. Negative correlation
1b. Example: More TV time → lower test scores
2a. No correlation
2b. Example: Shoe size and favorite color have no relationship
3a. Positive correlation
3b. Example: More study time → higher quiz scores
4. Plot points: (2090,973), (1987,967), (1948,1041), (1897,1043), (1962,1125), (1852,1126); draw downward-sloping trend line
5. Not linear
6. Linear; y = -2x
7. Linear; y = 2x + 14