5-3 Scatterplots and Trend lines

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, where each point represents an observation in the dataset, allowing for visual assessment of relationships between the variables.

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatterplot, minimizing the distance between the line and all the data points.

Front

How do you determine which line fits the data better on a scatterplot?

Back

You can determine which line fits the data better by assessing how closely the line follows the trend of the data points, ideally passing through the middle of the data set.

Front

What does a positive correlation indicate in a scatterplot?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation indicate in a scatterplot?

Back

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

Front

What does no association mean in the context of scatterplots?

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

What is the significance of the slope of a line of best fit?

Back

The slope of a line of best fit indicates the direction and strength of the relationship between the two variables; a positive slope indicates a positive correlation, while a negative slope indicates a negative correlation.

Front

How can you visually assess the strength of a correlation in a scatterplot?

Back

The strength of a correlation can be assessed by how closely the data points cluster around the line of best fit; tighter clustering indicates a stronger correlation.

Front

What is the purpose of using trend lines in scatterplots?

Back

Trend lines are used to summarize the relationship between variables, making it easier to interpret data and predict future values.

Front

What factors can affect the correlation between two variables?

Back

Factors that can affect correlation include outliers, the range of data, and the presence of confounding variables.