scatter plots and trend lines

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. For example, if the slope is -5/7, it means losing 5 hours of sleep for every 7 cups of coffee consumed.

Front

What is a positive association in a scatter plot?

Back

A positive association means that as one variable increases, the other variable also increases. For example, more hours studied may lead to higher test scores.

Front

What is a negative association in a scatter plot?

Back

A negative association means that as one variable increases, the other variable decreases. For example, more coffee consumed may lead to less sleep.

Front

What does 'no association' mean in a scatter plot?

Back

'No association' means there is no discernible relationship between the two variables; changes in one variable do not affect the other.

Front

How do you calculate the slope of a line?

Back

The slope can be calculated using the formula: slope = change in y / change in x, also known as 'rise over run'.

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 a trend line represent in a scatter plot?

Back

A trend line represents the general direction or pattern of the data points in a scatter plot, helping to visualize the relationship between the variables.

Front

What is the difference between linear and nonlinear associations?

Back

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

Front

What does it mean if a scatter plot has a positive linear association?

Back

It means that as one variable increases, the other variable also increases in a consistent manner, forming a straight line when graphed.

Front

What does it mean if a scatter plot has a negative linear association?

Back

It means that as one variable increases, the other variable decreases in a consistent manner, forming a straight line with a negative slope.