5/21 Line of Best Fit and Linear Regression

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What is the line of best fit?

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The line of best fit is a straight line that best represents the data on a scatter plot, showing the trend of the data points.

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How do you determine the slope of a line of best fit?

Back

The slope of a line of best fit is determined by calculating the change in the y-values divided by the change in the x-values between two points on the line.

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What does the slope of a linear regression equation represent?

Back

The slope represents the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

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What is the y-intercept in a linear regression equation?

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the line on the y-axis.

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How can you use a line of best fit to make predictions?

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You can use the line of best fit to predict the value of the dependent variable (y) for a given value of the independent variable (x) by substituting x into the equation of the line.

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What is linear regression?

Back

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

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What does a positive slope indicate in a linear regression model?

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A positive slope indicates that as the independent variable increases, the dependent variable also increases.

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What does a negative slope indicate in a linear regression model?

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A negative slope indicates that as the independent variable increases, the dependent variable decreases.

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What is the purpose of a scatter plot?

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A scatter plot is used to visually display the relationship between two quantitative variables, helping to identify trends, patterns, or correlations.

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How can outliers affect the line of best fit?

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Outliers can significantly affect the slope and position of the line of best fit, potentially leading to misleading interpretations of the data.