Scatter Plots | MFM1P Grade 9 Applied Math Help - Free Printable

Let’s go step by step to solve this worksheet.

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First, the fill-in-the-blanks at the top:

1. “A scatter plot is a graph that shows the __________ between two variables.”
→ A scatter plot shows how two things are related — so the word is relationship.

2. “The points in a scatter plot often show a pattern, or ________________.”
→ When points follow a direction (like going up or down), we call that a trend.

3. “From the pattern or trend you can describe the ________________.”
→ Again, this is about how the two variables relate — so it’s the relationship (or sometimes called correlation). But since “relationship” was already used, and the context is describing what the trend tells us, the best fit here is also relationship — but let’s check: actually, many textbooks say “you can describe the *type* of relationship” — positive, negative, etc. So perhaps the blank expects type of relationship? But looking at common phrasing in middle school math, the third blank is often filled with correlation or again relationship. However, given the flow, and to avoid repetition, let’s think:

Actually, standard phrasing:
- Scatter plot shows the relationship between two variables.
- Points show a pattern or trend.
- From the trend, you can describe the correlation (positive/negative/none) OR simply relationship again.

But since the example then asks to “describe the relationship”, I think the third blank is meant to be relationship — even if repeated. Alternatively, some curricula use “association”. But for simplicity and consistency with the rest of the page, I’ll go with:

Blank 1: relationship
Blank 2: trend
Blank 3: relationship

Wait — let me double-check with logic:

If you see a trend (points going up), you can describe whether it’s a positive or negative relationship. So maybe blank 3 is “type of relationship”? But the sentence says “describe the ________” — and later part c says “Describe the relationship.” So likely, blank 3 is just “relationship”.

Actually, upon second thought — many sources say:

> “A scatter plot shows the relationship between two variables. The points may show a trend. From the trend, you can describe the correlation.”

But “correlation” might be too advanced. Let’s stick with simple terms.

I think safest answers:

Blank 1: relationship
Blank 2: trend
Blank 3: relationship

But to avoid repeating, perhaps blank 3 is “pattern”? No — pattern is already mentioned.

Looking at the structure:

“A scatter plot... shows the [blank1] between two variables.” → relationship
“The points... show a pattern, or [blank2].” → trend
“From the pattern or trend you can describe the [blank3].” → This must be the nature of the link — so again, relationship, or possibly correlation. Since the next section says “Describe the relationship”, I think blank 3 is relationship.

Alternatively, maybe blank 3 is “strength and direction”? Too complex.

I recall that in many middle school worksheets, the exact phrasing is:

> “A scatter plot shows the relationship between two variables. The points often show a pattern, or trend. From the trend, you can describe the relationship.”

So yes — all three blanks are:

1. relationship
2. trend
3. relationship

Even though it repeats, it’s correct.

Now, moving to Julie’s data:

Table:

Age (years): 1, 2, 3, 4, 5, 6, 7, 8
Height (cm): 70, 82, 93, 98, 106, 118, 127, 135

Scatter plot is drawn with Age on x-axis, Height on y-axis.

a) Label the vertical axis.

Vertical axis = y-axis = Height (cm)

So label should be: Height (cm)

b) Describe the trend in the data.

Look at the points: as age increases, height increases. Each year, she gets taller. The points go upward from left to right.

So trend: As age increases, height increases. Or: There is an increasing trend.

c) Describe the relationship.

This means: What kind of relationship exists between age and height?

Since both increase together, it’s a positive relationship. Also, the points seem to form a fairly straight line — so it’s approximately linear.

So: There is a positive linear relationship between age and height.

Or simpler: As Julie gets older, her height increases. The relationship is positive and roughly linear.

Now, let’s verify calculations? There are no calculations per se — just interpretation.

But let’s check if the plotted points match the table:

At age 1 → height 70 → point at (1,70) — matches graph
Age 2 → 82 → (2,82) — graph shows ~80? Wait, graph has grid lines every 10 cm. At age 2, dot is slightly above 80 — 82 is reasonable.
Age 3 → 93 → dot between 90 and 100, closer to 90 — okay.
Age 4 → 98 → almost 100 — good.
Age 5 → 106 → between 100 and 110 — good.
Age 6 → 118 → close to 120 — good.
Age 7 → 127 → between 120 and 130 — good.
Age 8 → 135 → halfway between 130 and 140 — perfect.

So graph matches data.

Trend: clearly upward.

Relationship: positive, strong, linear.

Now, final answers:

Fill-ins:

1. relationship
2. trend
3. relationship

a) Vertical axis label: Height (cm)
b) Trend: As age increases, height increases.
c) Relationship: Positive linear relationship — as Julie gets older, she gets taller, and the increase is steady.

But let’s write them neatly.

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Final Answer:

Fill in the blanks:
- A scatter plot is a graph that shows the relationship between two variables.
- The points in a scatter plot often show a pattern, or trend.
- From the pattern or trend you can describe the relationship.

a) Label the vertical axis: Height (cm)
b) Describe the trend in the data: As age increases, height increases.
c) Describe the relationship: There is a positive linear relationship between age and height — as Julie gets older, her height increases steadily.