Scatter Plots Study Guide

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables, using dots to represent the values of each variable.

Tags

CCSS.8.SP.A.1

Front

What does causation mean in statistics?

Back

Causation indicates that one event is the result of the occurrence of another event; it implies a direct cause-and-effect relationship.

Tags

CCSS.HSS.ID.C.9

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together, indicating the strength and direction of their relationship.

Tags

CCSS.HSS.ID.C.9

Front

What is the line of best fit?

Back

The 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

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Tags

CCSS.HSS.ID.B.5

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Tags

CCSS.HSS.ID.B.5

Front

What is a residual in the context of linear regression?

Back

A residual is the difference between the observed value and the predicted value from a regression model.

Front

How do you interpret a correlation coefficient of r = 0.8?

Back

A correlation coefficient of r = 0.8 indicates a strong positive linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

What does it mean if the residuals are negative?

Back

Negative residuals indicate that the observed values are less than the predicted values, suggesting underestimation by the model.

Tags

CCSS.HSS.ID.B.6B

Front

What is the purpose of using a linear model in data analysis?

Back

A linear model is used to predict the value of a dependent variable based on the value of one or more independent variables.