Scatter Plots and Trend Lines

Front

What is a scatter plot?

Back

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

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 increases.

Front

What does a negative correlation in a scatter plot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

What does 'no correlation' mean in the context of scatter plots?

Back

No correlation means there is no apparent relationship between the two variables being plotted.

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 positive slope means an increase, while a negative slope means a decrease.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as m = (change in y) / (change in x).

Front

What does a slope of -5/7 represent in a real-world context?

Back

A slope of -5/7 means that for every 7 units increase in the x-variable, the y-variable decreases by 5 units.

Front

What is a trend line?

Back

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

Front

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

Back

You can determine the type of correlation by observing the direction of the data points: upward for positive, downward for negative, and scattered for none.

Front

What is the significance of outliers in a scatter plot?

Back

Outliers are data points that differ significantly from other observations; they can affect the slope and correlation of the trend line.