Scatter Plots and Trend Lines

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does a negative correlation indicate in a scatter plot?

Back

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

Front

What is a trend line?

Back

A trend line is a straight line that best represents the data on a scatter plot, indicating the general direction of the data points.

Front

How can you determine the type of association from a scatter plot?

Back

You can determine the type of association by observing the direction (positive or negative) and the shape (linear or non-linear) of the data points.

Front

What does a positive linear association look like on a scatter plot?

Back

A positive linear association appears as a straight line that slopes upwards from left to right, indicating that both variables increase together.

Front

What is the purpose of a line of best fit?

Back

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

Front

How do you interpret the slope of a trend line?

Back

The slope of a trend line indicates the rate of change between the two variables; a steeper slope means a greater change.

Front

What does the y-intercept represent in the equation of a line?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to make predictions by finding the corresponding value on the trend line for a given value of the independent variable.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.