Exploring Linear Relationships in Scatter Plots

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

Front

What does a line of best fit represent in a scatter plot?

Back

A line of best fit represents the trend of the data points in a scatter plot, showing the overall direction of the relationship between the variables.

Front

What is a positive linear relationship?

Back

A positive linear relationship occurs when an increase in one variable results in an increase in another variable, represented by an upward sloping line in a scatter plot.

Front

What is a negative linear relationship?

Back

A negative linear relationship occurs when an increase in one variable results in a decrease in another variable, represented by a downward sloping line in a scatter plot.

Front

What does a slope of zero indicate in a scatter plot?

Back

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, meaning there is no relationship between the two variables.

Front

What is the purpose of the line of best fit?

Back

The purpose of the line of best fit is to summarize the relationship between the variables and to make predictions based on the data.

Front

How does adding more data points affect the line of best fit?

Back

Adding more data points may change the line of best fit to better represent the overall trend of the data.

Front

What does it mean if data points are closely clustered around a line in a scatter plot?

Back

It indicates a strong linear association between the two variables.

Front

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

Back

The y-intercept is the value of the dependent variable when the independent variable is zero, indicating where the line crosses the y-axis.

Front

What is an informal assessment of the fit of a line to a scatter plot?

Back

An informal assessment involves visually checking how closely the data points cluster around the line of best fit without calculating exact distances.