Scatterplots

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables where each point represents an observation in the dataset, showing the relationship between the variables.

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

Back

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

Front

How can you determine the slope of a line of best fit in a scatterplot?

Back

The slope of the line of best fit can be determined by calculating the change in the y-values divided by the change in the x-values (rise over run) between two points on the line.

Front

What is the purpose of a line of best fit in a scatterplot?

Back

The line of best fit summarizes the trend in the data, helping to predict values and understand the relationship between the variables.

Front

What is the significance of the slope value in a scatterplot?

Back

The slope value indicates the rate of change between the two variables; a larger slope means a steeper increase or decrease.

Front

What is the difference between a strong correlation and a weak correlation in a scatterplot?

Back

A strong correlation means the points are closely clustered around the line of best fit, while a weak correlation means the points are more spread out.

Front

What factors can affect the relationship shown in a scatterplot?

Back

Factors such as outliers, sample size, and the range of data can affect the relationship shown in a scatterplot.

Front

How can scatterplots be used in real-world applications?

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Scatterplots can be used in various fields such as economics, biology, and social sciences to analyze relationships between variables and make predictions.