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 trend line represent in a scatter plot?

Back

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

Front

How do you calculate the slope of a line?

Back

The slope of a line is calculated by the formula (change in y) / (change in x), often represented as 'm' in the equation of a line.

Front

What does a positive slope indicate in a scatter plot?

Back

A positive slope indicates that as one variable increases, the other variable also increases, showing a direct relationship.

Front

What does a negative slope indicate in a scatter plot?

Back

A negative slope indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Front

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

Back

No association means that there is no discernible relationship between the two variables; the data points do not show any pattern.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change in real-world contexts, such as speed, efficiency, or other relationships between variables.

Front

How can you determine the best fit line for a scatter plot?

Back

The best fit line can be determined using methods such as least squares regression, which minimizes the distance between the data points and the line.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

Front

What does a trend line with a slope of -5/4 indicate?

Back

A trend line with a slope of -5/4 indicates that for every 4 units increase in the x-variable, the y-variable decreases by 5 units.