5-3 Scatterplots and Trend lines

Front

What is a scatterplot?

Back

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

Front

What does a line of best fit represent in a scatterplot?

Back

A line of best fit is a straight line that best represents the data points in a scatterplot, indicating the general direction of the relationship between the variables.

Front

What is a positive association in a scatterplot?

Back

A positive association occurs when, as one variable increases, the other variable also increases, resulting in an upward trend in the scatterplot.

Front

What is a negative association in a scatterplot?

Back

A negative association occurs when, as one variable increases, the other variable decreases, resulting in a downward trend in the scatterplot.

Front

What does 'no association' mean in a scatterplot?

Back

No association means that there is no discernible relationship between the two variables, and the data points do not show any clear trend.

Front

How do you identify a line of best fit?

Back

A line of best fit can be identified by visually assessing which line minimizes the distance from all data points to the line itself.

Front

What is the purpose of a trend line in data analysis?

Back

A trend line helps to summarize the overall direction of the data and can be used to make predictions about future data points.

Front

What does it mean if a scatterplot has a steep slope?

Back

A steep slope in a scatterplot indicates a strong relationship between the two variables, meaning that small changes in one variable result in large changes in the other.

Front

What is the significance of the y-intercept in a line of best fit?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

How can outliers affect a scatterplot?

Back

Outliers can skew the results of a scatterplot, affecting the line of best fit and potentially leading to misleading interpretations of the data.