Scatter Plots and Line of Best Fit

Front

What is a scatter plot?

Back

A scatter plot 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 the line of best fit represent in a scatter plot?

Back

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

Front

How do you identify an outlier in a scatter plot?

Back

An outlier is a data point that is significantly different from the other points in the scatter plot, often appearing far away from the cluster of points.

Front

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

Back

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

Front

What does a positive correlation indicate in a scatter plot?

Back

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

Front

What is the purpose of using a line of best fit?

Back

The purpose of using a line of best fit is to summarize the relationship between two variables and make predictions based on that relationship.

Front

What does it mean if a scatter plot shows no correlation?

Back

If a scatter plot 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

How can you determine the strength of a correlation from a scatter plot?

Back

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

Front

What is the formula for calculating the slope of a line of best fit?

Back

The slope of a line of best fit can be calculated using the formula: (change in y) / (change in x), which represents the rate of change between the two variables.

Front

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

Back

The slope indicates the direction and steepness of the relationship between the two variables; a positive slope indicates a positive relationship, while a negative slope indicates a negative relationship.