Scatter Plots and Lines of Best Fit

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What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

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What does the line of best fit represent in a scatter plot?

Back

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

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How do you determine the line of best fit?

Back

The line of best fit can be determined using methods such as least squares regression, which minimizes the distance between the data points and the line.

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What is a positive correlation?

Back

A positive correlation occurs when an increase in one variable leads to an increase in another variable, represented by an upward slope in a scatter plot.

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What is a negative correlation?

Back

A negative correlation occurs when an increase in one variable leads to a decrease in another variable, represented by a downward slope in a scatter plot.

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What does no correlation mean?

Back

No correlation means there is no discernible relationship between two variables, and the data points do not show any clear pattern.

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What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line measures the steepness and direction of the line, calculated as the change in y divided by the change in x (rise/run).

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What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

Front

How can you identify a line of best fit on a scatter plot?

Back

A line of best fit can be identified by visually assessing the line that best represents the trend of the data points, minimizing the distance from all points.