Scatterplots and trend lines review

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

Front

What does a positive correlation in a scatterplot indicate?

Back

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

Front

What does a negative correlation in a scatterplot indicate?

Back

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

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, showing the trend of the data.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to estimate the value of one variable based on the value of another variable by finding where the point falls on the line.

Front

What is the purpose of analyzing scatterplots?

Back

Analyzing scatterplots helps to identify relationships between variables, such as correlation and trends.

Front

What does it mean if there is no correlation in a scatterplot?

Back

No correlation means that there is no apparent relationship between the two variables; changes in one variable do not predict changes in the other.

Front

How do you determine the strength of a correlation in a scatterplot?

Back

The strength of a correlation can be determined by how closely the data points cluster around the line of best fit; tighter clusters indicate stronger correlations.

Front

What is the significance of outliers in a scatterplot?

Back

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

Front

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

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).