AP Stats Semester 1 Review Warm Up #1

Front

What is the equation of the Least Squares Regression Line (LSRL)?

Back

The LSRL is a linear equation that best fits a set of data points in a scatterplot, minimizing the sum of the squares of the vertical distances (residuals) from the points to the line.

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CCSS.HSS.ID.C.8

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What is a residual in statistics?

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A residual is the difference between the observed value and the predicted value given by a regression model. It indicates how far off a prediction is from the actual data.

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CCSS.HSS.ID.B.6B

Front

What does standard deviation measure in a data set?

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Standard deviation measures the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

What is the 87th percentile in a normal distribution?

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The 87th percentile is the value below which 87% of the data falls. In a normal distribution, it can be found using the mean and standard deviation.

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CCSS.HSS.ID.A.4

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What is the purpose of an experimental design?

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An experimental design is a plan for a controlled experiment that aims to test a hypothesis by manipulating one or more variables while keeping others constant.

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CCSS.HSS.IC.B.3

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What does it mean for a variable to be confounded with another variable?

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Confounding occurs when the effects of two or more variables are mixed together, making it difficult to determine the individual effect of each variable.

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CCSS.HSS.IC.B.3

Front

How do you calculate the mean of a data set?

Back

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 mean in a data set?

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The mean provides a measure of central tendency, representing the average value of the data set.

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CCSS.6.SP.A.3

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What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them by plotting points on a Cartesian plane.

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CCSS.8.SP.A.1

Front

What is the difference between a sample and a population?

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A sample is a subset of a population, used to make inferences about the entire population.

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CCSS.HSS.IC.A.1

CCSS.7.SP.A.1