scatter plots and line of best fit

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

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

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine the slope of a line of best fit?

Back

The slope of a line of best fit is determined by calculating the change in the y-values divided by the change in the x-values between two points on the line.

Front

What does a positive correlation in a scatter plot indicate?

Back

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

Front

What does a negative correlation in a scatter plot indicate?

Back

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

Front

What is the purpose of using a trend line in a scatter plot?

Back

The purpose of using a trend line is to summarize the relationship between the variables and to make predictions based on the data.

Front

How can you use a scatter plot to make predictions?

Back

You can use a scatter plot to make predictions by extending the line of best fit to estimate the value of one variable based on the value of another.

Front

What is the difference between linear and nonlinear associations in scatter plots?

Back

Linear associations show a straight-line relationship, while nonlinear associations show a curved relationship between the variables.

Front

What does it mean if there is no association in a scatter plot?

Back

If there is no association, it means that changes in one variable do not affect the other variable, and the data points are scattered randomly.

Front

How do you interpret the y-intercept of a line of best fit?

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.