Question

Unit 5 Scatter Plots and Data Analysis
Vocabulary

Key Terms
Meaning - Description - Picture
Example - All work shown
U5 L1
Data Modeling





U5 L2
Bivariate Data




U5 L2
Scatter Plot




U5 L2
Outlier




U5 L2
Clustering




U5 L5
Linear/NonLinear
Association




U5 L5
Association/
Correlation
Positive

Negative

None


U5 L5
Qualitative Variable




U5 L5
Quantitative Variable




U5 L5
Line of Best Fit




U5 L6
Interpreting key points of trend lines
The y-intercept represents the amount when x = 0.


The x-intercept represents the amount when y = 0.




U5 L6
Inference




U5 L7
Interpreting the Slope of a trend line or line of best fit




U5 L7
Extrapolate from a line of best fit




U5 L10
How do you Interpret a graph?




U5 L10
Probabilistic vs
Deterministic
Probabilistic

Deterministic

Answer 1

Here's a breakdown for each key term related to scatter plots and data analysis based on your request for vocabulary, meanings, descriptions, and examples.

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### U5 L1: Data Modeling
**Meaning:** The process of creating a representation of a data set to help make predictions and decisions.
**Description:** Data modeling involves using mathematical formulas to simulate real-world scenarios. It’s crucial in statistics and data science.
**Example:** A linear equation that predicts sales based on advertising spend.
**Picture:** [Graph showing a model vs actual data]

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### U5 L2: Bivariate Data
**Meaning:** Data that involves two different variables.
**Description:** Bivariate data helps understand the relationship between two quantities.
**Example:** Exam scores and hours studied for a group of students.
**Picture:** [Scatter plot with two variables]

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### U5 L2: Scatter Plot
**Meaning:** A type of graph that uses dots to represent the values obtained for two different variables.
**Description:** Each dot represents an observation. The position of the dot indicates the values of two variables.
**Example:** A scatter plot comparing height vs. weight.
**Picture:** [Example scatter plot chart]

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### U5 L2: Outlier
**Meaning:** A data point that significantly differs from other observations in a dataset.
**Description:** Outliers can distort statistical analyses and may indicate variability in the measurements.
**Example:** A student who scores 100% when the rest of the class scores below 70%.
**Picture:** [Scatter plot with an outlier highlighted]

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### U5 L2: Clustering
**Meaning:** The grouping of data points based on their proximity or similarity.
**Description:** Data points that are close together may suggest a relationship or a pattern.
**Example:** A cluster of data points representing high test scores.
**Picture:** [Scatter plot showing distinct clusters]

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### U5 L5: Linear/Non-Linear Association
**Meaning:** Linear association depicts a straight-line relationship; non-linear association shows a curved relationship.
**Description:**
- **Linear:** Two variables increase or decrease in a consistent manner.
- **Non-linear:** The rate of increase or decrease changes.
**Example:** The relationship between temperature and ice cream sales (linear) vs. the relationship between temperature and plant growth (non-linear).
**Picture:** [Graphs representing linear and non-linear associations]

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### U5 L5: Association/Correlation
**Meaning:** The relationship between two variables, often depicted through correlation coefficients.
**Positive:** As one variable increases, the other also increases.
**Negative:** As one variable increases, the other decreases.
**None:** No discernible relationship exists.
**Example:**
- Positive: Height and weight.
- Negative: Hours of exercise and body fat percentage.
- None: Shoe size and intelligence.
**Picture:** [Example scatter plots showing positive, negative, and no correlation]

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### U5 L5: Qualitative Variable
**Meaning:** A variable that describes a quality or characteristic.
**Description:** Often categorical in nature and can be divided into groups.
**Example:** Types of fruit (e.g., apple, banana, orange).
**Picture:** [Chart categorizing types of fruits]

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### U5 L5: Quantitative Variable
**Meaning:** A variable that can be measured numerically.
**Description:** Represents amounts or counts, and can be further classified as continuous or discrete.
**Example:** Height in inches, age in years.
**Picture:** [Graph displaying a range of quantitative measures]

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### U5 L5: Line of Best Fit
**Meaning:** A straight line that best represents the data points on a scatter plot.
**Description:** This line minimizes the distance between itself and all the data points.
**Example:** A regression line predicting sales based on advertising expenditure.
**Picture:** [A scatter plot with a line of best fit]

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### U5 L6: Interpreting Key Points of Trend Lines
**Meaning:** Understanding specific values from trend lines, like intercepts.
**Description:**
- The **y-intercept** shows the predicted value of y when x = 0.
- The **x-intercept** shows the value of x when y = 0.
**Example:** For a sales trend line, the y-intercept might indicate base sales without advertising.
**Picture:** [Graph with intercepts marked]

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### U5 L6: Inference
**Meaning:** The process of drawing conclusions from data analysis.
**Description:** Inference involves predicting trends and relationships based on the observed data.
**Example:** Inferring that increased study time leads to higher exam scores based on data analysis.
**Picture:** [Diagram illustrating the inference process]

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### U5 L7: Interpreting the Slope of a Trend Line or Line of Best Fit
**Meaning:** The slope indicates the rate of change in y for every one-unit increase in x.
**Description:** A positive slope means a positive relationship, while a negative slope indicates an inverse relationship.
**Example:** A slope of 2 indicates that for every hour studied, the expected test score increases by 2 points.
**Picture:** [Graph with a labeled slope]

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### U5 L7: Extrapolate from a Line of Best Fit
**Meaning:** Making predictions outside the range of the data based on the line of best fit.
**Description:** This assumes that the trends observed in the data will continue beyond the given data range.
**Example:** Predicting future sales based on past data trends.
**Picture:** [Graph showing extrapolation beyond data points]

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### U5 L10: How Do You Interpret a Graph?
**Meaning:** Understanding the information presented in graphical form.
**Description:** Critical analysis involves identifying trends, patterns, and relationships among variables.
**Example:** Interpreting a bar graph showing sales by month to identify peak sales seasons.
**Picture:** [People analyzing a graph]

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### U5 L10: Probabilistic vs. Deterministic
**Probabilistic:** Outcomes are uncertain and can be described with probabilities.
**Deterministic:** Outcomes are certain and predictable given initial conditions.
**Example:**
- **Probabilistic:** Weather forecasts which predict a certain chance of rain.
- **Deterministic:** Calculating the exact result of a mathematical equation.
**Picture:** [Diagram comparing probabilistic and deterministic outcomes]

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Feel free to modify or add images as per your specific needs!