Scatter Plots Practice Worksheet A - Plot data points and determine correlation for each problem.

Let's solve each of the three scatter plot problems step by step. For each problem, we will:

1. Plot the data points on the coordinate plane.
2. Determine the correlation (positive, negative, or no correlation) based on the pattern of the points.

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Problem 1

#### Data:
- First table:
(1,0), (2,1), (2,2), (5,5)
- Second table:
(8,7), (8,8), (9,8), (10,10)

So all points are:
- (1,0), (2,1), (2,2), (5,5), (8,7), (8,8), (9,8), (10,10)

#### Plotting:
We'll plot these points on the grid.

- As x increases, y generally increases.
- Points like (1,0), (2,1), (5,5), (8,7), (10,10) follow a rising trend.
- There are some clusters (like two points at x=2 and x=8), but overall, as x increases, y tends to increase.

#### Correlation:
This shows a positive correlation — as one variable increases, the other tends to increase.

> ✔ Answer: Positive correlation

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Problem 2

#### Data:
- First table:
(1,19), (2,16), (3,15), (3,13)
- Second table:
(5,9), (6,6), (6,7), (10,3)

All points:
- (1,19), (2,16), (3,15), (3,13), (5,9), (6,6), (6,7), (10,3)

#### Plotting:
- As x increases from 1 to 10, y decreases from 19 to 3.
- Most points show a downward trend.
- Some variation at x=3 and x=6 (two y-values), but overall decreasing.

#### Correlation:
This is a negative correlation — as x increases, y decreases.

> ✔ Answer: Negative correlation

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Problem 3

#### Data:
- First table:
(1,9), (1,15), (3,4), (5,8)
- Second table:
(5,10), (6,19), (8,13), (8,5)

All points:
- (1,9), (1,15), (3,4), (5,8), (5,10), (6,19), (8,13), (8,5)

#### Plotting:
- At x = 1: y = 9 and 15 → spread
- At x = 5: y = 8 and 10 → close together
- At x = 8: y = 13 and 5 → large spread
- No clear upward or downward trend.
- Points seem scattered with no consistent pattern.

#### Correlation:
There is no clear correlation. The data does not show a consistent increasing or decreasing trend.

> ✔ Answer: No correlation (or weak/no correlation)

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✔ Final Answers:

1. Positive correlation
2. Negative correlation
3. No correlation

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🔍 Explanation Summary:

- Positive correlation: Points trend upward from left to right.
- Negative correlation: Points trend downward from left to right.
- No correlation: Points appear randomly scattered with no clear pattern.

You would plot each point on the graph paper provided and then describe the overall trend.

Let me know if you'd like a visual sketch or help plotting them!