Linear Regression

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What is Linear Regression?

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

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CCSS.8.SP.A.2

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What does the slope in a linear equation represent?

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The slope indicates the rate of change of the dependent variable (y) with respect to the independent variable (x). It shows how much y changes for a one-unit increase in x.

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CCSS.HSF.LE.B.5

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What is the equation of a line in slope-intercept form?

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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How do you interpret a negative slope in a linear regression?

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A negative slope indicates an inverse relationship between the variables; as the independent variable increases, the dependent variable decreases.

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CCSS.8.EE.B.5

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What is a line of best fit?

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A line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

Tags

CCSS.8.EE.B.5

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What does a correlation coefficient (r) of -0.86 indicate?

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A correlation coefficient of -0.86 indicates a strong negative correlation between the two variables, meaning that as one variable increases, the other tends to decrease.

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CCSS.HSS.ID.B.5

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What is the purpose of using a scatter plot?

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

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What does standard deviation measure in a data set?

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Standard deviation measures the amount of variation or dispersion in a set of values; a low standard deviation indicates that the values tend to be close to the mean.

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How do you calculate the mean of a data set?

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The mean is calculated by adding all the values in the data set and dividing by the number of values.

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CCSS.6.SP.B.5C

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What is the significance of the y-intercept in a linear equation?

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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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CCSS.8.EE.B.6

CCSS.8.F.A.3