Scatterplot Line of Best Fit Maze Activity - Free Printable

This image is a "Line of Best Fit Maze" activity designed to help students practice identifying the best line of best fit for scatter plots. The goal is to navigate through a maze by choosing the correct line (A, B, or C) that most accurately represents the trend in each scatter plot.

Let’s walk through how to solve this step-by-step.

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🔍 Understanding the Task

- Each box contains a scatter plot with three lines labeled A, B, and C.
- You must choose the line that best fits the data points, meaning:
- It goes through the middle of the cluster of points.
- Minimizes the distances from the points to the line.
- Reflects the overall trend (positive, negative, or no correlation).
- After selecting the correct line (A, B, or C), you follow that path to the next question.
- Continue until you reach the end.

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🧩 Step-by-Step Solution

We’ll go through each box in order, starting from "START HERE".

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#### Box 1: START HERE

- Scatter plot: Points show a positive correlation (as x increases, y increases).
- Lines:
- A: Too steep, starts too low.
- B: Passes through the middle of the data, good slope.
- C: Too flat, doesn’t follow the upward trend.
- ✔ Best choice: B

➡️ Follow B to the next box.

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#### Box 2 (from B)

- Scatter plot: Data shows a negative correlation (as x increases, y decreases).
- Lines:
- A: Steep negative slope — too steep.
- B: Moderate negative slope — passes near the center.
- C: Almost flat — not following the trend.
- ✔ Best choice: B

➡️ Follow B to the next box.

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#### Box 3 (from B)

- Scatter plot: Positive correlation again.
- Lines:
- A: Too steep.
- B: Good slope, goes through the center.
- C: Too flat.
- ✔ Best choice: B

➡️ Follow B to the next box.

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#### Box 4 (from B)

- Scatter plot: Positive correlation.
- Lines:
- A: Too steep.
- B: Goes through the middle, good fit.
- C: Flat, not accurate.
- ✔ Best choice: B

➡️ Follow B to the next box.

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#### Box 5 (from B)

- Scatter plot: Negative correlation.
- Lines:
- A: Very steep downward — too steep.
- B: Moderately steep — follows the trend well.
- C: Nearly horizontal — poor fit.
- ✔ Best choice: B

➡️ Follow B to the next box.

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#### Box 6 (from B)

- Scatter plot: Data appears to have no strong correlation, but there's a slight negative trend.
- Lines:
- A: Very steep down — too much.
- B: Slight negative slope — matches the weak trend.
- C: Horizontal — ignores the slight downward trend.
- ✔ Best choice: B

➡️ End!

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✔ Final Answer Path:

Start → B → B → B → B → B → End

So the correct sequence is: B, B, B, B, B, B

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🎯 Summary of How to Choose the Line of Best Fit

To pick the line of best fit:
1. Look at the overall trend (positive, negative, or none).
2. Choose the line that passes through the center of the data.
3. The line should have roughly equal numbers of points above and below it.
4. Avoid lines that are too steep or too flat unless the data supports it.

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💡 Tips for Students

- If the points form a cloud, the best line should go through the “center” of that cloud.
- Ignore outliers unless they’re part of the pattern.
- The line doesn’t need to pass through any specific point — it’s about the general trend.

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✔ Answer: The correct path through the maze is:
👉 B → B → B → B → B → B

You exit the maze successfully!

Let me know if you'd like a printable version or want to turn this into a worksheet!