Scatter Plots: Correlation Worksheet | PDF Printable Statistics ... - Free Printable

Let’s go step by step through each section.

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Section A: Match the diagram with the correct description.

We have three graphs and three descriptions:

- A. Positive correlation → points go up from left to right (as one value increases, so does the other)
- B. Zero correlation → no clear pattern; points are scattered randomly
- C. Negative correlation → points go down from left to right (as one value increases, the other decreases)

Looking at the graphs:

1. First graph (left): Points go DOWN from left to right → that’s Negative correlation → matches C
2. Second graph (middle): Points go UP from left to right → that’s Positive correlation → matches A
3. Third graph (right): Points are all over the place — no clear direction → that’s Zero correlation → matches B

✔ So for Section A:
- Left graph → C
- Middle graph → A
- Right graph → B

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Section B: Match the diagram with the correct description.

Descriptions:

- A. Weak negative correlation → slight downward trend, but points are spread out
- B. Weak positive correlation → slight upward trend, but points are spread out
- C. Perfect negative correlation → all points lie exactly on a straight line going down
- D. Strong positive correlation → points closely follow an upward line, not perfect but tight

Graphs:

1. First graph (left): All points lie perfectly on a straight line going DOWN → Perfect negative correlation → C
2. Second graph (middle): Points go UP and are fairly close together → Strong positive correlation → D
3. Third graph (right): Points go DOWN but are more spread out → Weak negative correlation → A
4. Fourth graph (far right): Points go UP but are somewhat spread out → Weak positive correlation → B

✔ So for Section B:
- Leftmost → C
- Second → D
- Third → A
- Rightmost → B

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Section C: Match the diagram with the correct sets of data.

Data pairs:

- A. Height of people / Weight of people → taller people tend to weigh more → positive correlation
- B. Age of a computer / Value of a computer → older computers are worth less → negative correlation
- C. Shoe size of people / IQ of people → no real connection → zero or very weak correlation
- D. Amount in Pounds / Amount in Euros → fixed exchange rate → perfect positive correlation (if you convert, it’s exact)

Now look at the graphs under Section C:

1. First graph (left): Scattered, no clear pattern → likely Shoe size / IQ → C
2. Second graph (middle-left): Points go UP in a nearly straight line → Pounds / Euros → D
3. Third graph (middle-right): Points go UP but not perfectly → Height / Weight → A
4. Fourth graph (right): Points go DOWN → Age of computer / Value → B

✔ So for Section C:
- Leftmost → C
- Second → D
- Third → A
- Rightmost → B

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Now answer the questions below Section C:

a) Which graph shows the weakest correlation?

Look at the four graphs in Section C:

- Graph 1 (C: Shoe size / IQ) → random scatter → weakest
- Graph 2 (D: Pounds/Euros) → perfect line → strongest
- Graph 3 (A: Height/Weight) → strong positive
- Graph 4 (B: Computer age/value) → clear negative

So the weakest is Graph 1, which corresponds to C. Shoe size of people / IQ of people

But the question says “Which graph” — probably meaning label it as per its position or letter.

Since the graphs are shown under letters A, B, C, D in Section C, and we matched them as:

- A → third graph (height/weight)
- B → fourth graph (computer)
- C → first graph (shoe/IQ)
- D → second graph (pounds/euros)

The weakest is graph labeled C (first one).

But let’s check the actual visual: the first graph in Section C has the most scattered points — yes, that’s the weakest.

✔ Answer: The first graph (under label C) — or if they mean by letter, then C

Wait — actually, looking again: in Section C, the graphs are placed under the labels A, B, C, D — but those are the *data set* labels, not the graph positions.

Actually, re-reading: “Match the diagram with the correct sets of data.” So each diagram is paired with a lettered data set.

Then the question “Which graph shows the weakest correlation?” — it’s asking about the diagrams themselves.

In Section C, there are four diagrams arranged left to right. Let’s call them Diagram 1, 2, 3, 4 from left to right.

Diagram 1: scattered → weakest
Diagram 2: perfect line → strongest
Diagram 3: clustered upward → strong
Diagram 4: downward trend → moderate to strong negative

So weakest is Diagram 1

But since the problem doesn’t number them, and in the matching we assigned:

- Diagram 1 → C (Shoe size / IQ)
- Diagram 2 → D (Pounds / Euros)
- Diagram 3 → A (Height / Weight)
- Diagram 4 → B (Computer age / value)

So the graph showing weakest correlation is the one matched with C

✔ Final answer for a): C

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b) What other variable could show a positive correlation with height?

Think: what tends to increase as height increases?

Examples:

- Arm length
- Leg length
- Shoe size (generally)
- Weight (already used, but still valid)
- Reach when jumping

Any of these work.

✔ Simple answer: Shoe size or arm span

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c) What variable could show a negative correlation with temperature?

As temperature goes up, what goes down?

Examples:

- Sales of hot chocolate
- Use of heaters
- Number of layers of clothing worn
- Snowfall amount

✔ Simple answer: Sales of winter coats or heating bill

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Now, compiling final answers clearly.

Final Answer:
Section A:
Left graph → C, Middle graph → A, Right graph → B

Section B:
Leftmost → C, Second → D, Third → A, Rightmost → B

Section C:
Leftmost → C, Second → D, Third → A, Rightmost → B

a) C
b) Shoe size (or arm span, etc.)
c) Sales of winter coats (or heating usage, etc.)