Front

What is a residual in the context of regression analysis?

Back

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

Tags

CCSS.HSS.ID.B.6B

Front

How do you interpret the slope of a least-squares regression line?

Back

The slope represents the average change in the dependent variable for each one-unit increase in the independent variable.

Tags

CCSS.8.SP.A.3

Front

What does a residual plot show?

Back

A residual plot displays the residuals on the vertical axis and the independent variable on the horizontal axis. It helps to assess the fit of a regression model.

Tags

CCSS.HSS.ID.B.6B

Front

What is the purpose of calculating probabilities in statistics?

Back

Calculating probabilities helps to quantify the likelihood of different outcomes, which is essential for making informed decisions based on data.

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the distribution of the sample means will approach a normal distribution as the sample size increases, regardless of the population's distribution.

Front

What does it mean if a data set is normally distributed?

Back

A normally distributed data set has a symmetric bell-shaped curve, where most of the observations cluster around the mean, and the probabilities for values further away from the mean taper off equally in both directions.

Front

How do you calculate the mean of a data set?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What is the significance of the standard deviation in statistics?

Back

The 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, while a high standard deviation indicates more spread out values.

Front

What is the difference between Q1 and Q3 in a box plot?

Back

Q1 (first quartile) is the median of the lower half of the data, while Q3 (third quartile) is the median of the upper half. The interquartile range (IQR) is the difference between Q3 and Q1.

Tags

CCSS.6.SP.B.5C

Front

What does it mean if a linear model is not appropriate for a data set?

Back

If a linear model is not appropriate, it means that the relationship between the variables is not linear, which can be indicated by patterns in the residual plot.