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, allowing for the visualization of relationships between the variables.

Front

What does a strong negative correlation indicate in a scatterplot?

Back

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

Front

How can you determine the correlation type from a scatterplot?

Back

You can determine the correlation type by observing the direction of the points: if they slope downwards from left to right, it is negative; if they slope upwards, it is positive; if the points are scattered without a clear trend, it may indicate no correlation.

Front

What is the purpose of using scatterplots in data analysis?

Back

Scatterplots are used to identify relationships, trends, and patterns between two quantitative variables, helping to visualize how one variable may affect another.

Front

What does it mean if a scatterplot shows no correlation?

Back

If a scatterplot shows no correlation, it means there is no discernible relationship between the two variables, and changes in one variable do not predict changes in the other.

Front

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

Back

The line of best fit is a straight line that best represents the data points in a scatterplot, indicating the overall trend and allowing for predictions based on the relationship between the variables.

Front

How can you estimate a value using a scatterplot?

Back

You can estimate a value by locating the corresponding point on the scatterplot and using the line of best fit to interpolate or extrapolate the value.

Front

What is the difference between positive and negative correlation?

Back

Positive correlation means that as one variable increases, the other variable also increases, while negative correlation means that as one variable increases, the other variable decreases.

Front

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

Back

The slope of the line of best fit represents the rate of change between the two variables, indicating how much one variable changes for a unit change in the other variable.

Front

How can outliers affect the interpretation of a scatterplot?

Back

Outliers can skew the results and misrepresent the correlation, making it appear stronger or weaker than it actually is, and can affect the position of the line of best fit.