Scatter Plots in Algebra 1

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Questions and Answers

What is a scatter plot?

A graph that relates two different sets of data by displaying them as ordered pairs.

What is a discrete graph?

A plot of ordered pairs not connected by a line.

What is a continuous graph?

A plot of ordered pairs connected by a line.

What is the line of best fit?

<p>The most accurate trend line on a scatter plot showing the relationship between two sets of data.</p> Signup and view all the answers

What is the correlation coefficient (r-value)?

<p>A number from -1 (negative correlation) to 1 (positive correlation) that tells you how closely the equation of the line of best fit models the data.</p> Signup and view all the answers

What is a residual?

<p>The difference between the y-value of a data point and the corresponding y-value of a model for the data set.</p> Signup and view all the answers

What is linear regression?

<p>The statistical study of the relationship between variables that forms a line.</p> Signup and view all the answers

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Study Notes

Scatter Plots in Algebra 1

  • A scatter plot visually represents the relationship between two distinct sets of data using ordered pairs.
  • Discrete graphs display individual points without connecting them, indicating separate data values.
  • Continuous graphs connect ordered pairs with a line, illustrating data that flows without breaks.

Key Concepts

  • A line of best fit serves as the most accurate trend line in a scatter plot, showcasing the relationship between the datasets effectively.
  • The correlation coefficient (r-value) ranges from -1 to 1, indicating the degree of linear relationship; -1 signifies a perfect negative correlation, 1 signifies a perfect positive correlation, while an r-value of 0 indicates no correlation.

Additional Terms

  • Residuals measure the difference between actual y-values from data points and the predicted y-values derived from a model.
  • Linear regression is a statistical method used for analyzing the relationship between two variables, resulting in a linear equation that best fits the data.

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