Modeling Linear Functions

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What is a linear function?

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What does the slope of a linear function represent?

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The slope of a linear function represents the rate of change of the function. It indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

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What is the y-intercept in a linear function?

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What does a positive linear correlation indicate?

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A positive linear correlation indicates that as one variable increases, the other variable also increases. The graph of this relationship slopes upwards.

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What does a negative linear correlation indicate?

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A negative linear correlation indicates that as one variable increases, the other variable decreases. The graph of this relationship slopes downwards.

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What is the formula for a linear model based on a real-world situation?

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How do you determine if a line is a good estimate of best fit for data?

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A line is a good estimate of best fit if it minimizes the distance between the line and all the data points, often assessed using the least squares method.

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What is the difference between correlation and causation?

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Correlation indicates that two variables are related, while causation indicates that one variable directly affects the other.

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What is the significance of the correlation coefficient?

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The correlation coefficient quantifies the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

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How can you write a linear equation from a word problem?

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