Population vs Settlement Size Analysis

StatisticsRegression and Correlation AnalysisMedium

Published:

Dataset: Population vs Settlement Size

| Site | Population Size (people) | Settlement Size (hectares) |

| :--- | :--- | :--- |

| A | 50 | 1.2 |

| B | 80 | 1.8 |

| C | 120 | 2.5 |

| D | 160 | 3.1 |

| E | 200 | 3.8 |

| F | 260 | 4.5 |

| G | 320 | 5.3 |

| H | 400 | 6. |

1. Draw a scatter plot

2. Describe the type of correlation

3. Comment on the strength of the relationship

4. Suggest archaeological explanations (e.g., social organisation, resource use)

This question includes visual content: A table titled 'Dataset: Population vs Settlement Size' containing three columns: 'Site' (A through H), 'Population Size (people)' (50, 80, 120, 160, 200, 260, 320, 400), and 'Settlement Size (hectares)' (1.2, 1.8, 2.5, 3.1, 3.8, 4.5, 5.3, 6.). An orange box next to the table lists four instructions: 1. Draw a scatter plot, 2. Describe the type of correlation, 3. Comment on the strength of the relationship, 4. Suggest archaeological explanations (e.g., social organisation, resource use).

Animated Video Solution

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Step by Step Written Solution

1
Step 1

In this problem, we are given a dataset comparing population size to settlement size across eight different archaeological sites. We need to create a scatter plot, describe the correlation, assess its strength, and suggest archaeological explanations.

Population vs Settlement Size Analysis

2
Step 2

To begin, let's identify the independent and dependent variables. Usually, population size drives the need for space, so we will put Population on the x-axis and Settlement Size on the y-axis.

SitePopulation (x)Settlement Size (y)
A501.2
B801.8
C1202.5
D1603.1
E2003.8
F2604.5
G3205.3
H4006.0

Variable Selection

- X-axis: Population

- Y-axis: Settlement Size (hectares)

3
Step 3

Now, let's plot these eight data points on a scatter plot. As the population increases from fifty to four hundred, we can see that the settlement size also increases steadily from one point two to six hectares.

Task 1: Scatter Plot

PopulationSize (ha)
4
Step 4

Next, let's look at the pattern formed by these points. Notice how they follow a clear upward trend. Since both variables increase together, this is a positive correlation.

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About This Question

Subject
Statistics
Topic
Regression and Correlation Analysis
Difficulty
Medium
Question Type
Open Ended

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