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. It shows the relationship between the variables.

Front

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 two variables.

Front

How do you determine if a line is an accurate line of best fit?

Back

A line is an accurate line of best fit if it minimizes the distance between itself and all the data points, often assessed using the least squares method.

Front

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 does a positive correlation in a scatter plot indicate?

Back

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

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What does a negative correlation in a scatter plot indicate?

Back

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

Front

What is an outlier in a scatter plot?

Back

An outlier is a data point that differs significantly from other observations in the dataset, often lying far away from the trend of the data.

Front

How can you identify an outlier in a scatter plot?

Back

An outlier can be identified visually as a point that is distant from the cluster of other points or statistically using methods like the IQR rule.

Front

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

Back

The slope indicates the rate of change between the two variables; a steeper slope means a stronger relationship.

Front

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

Back

The y-intercept is the value of y when x is zero, representing the starting point of the line on the y-axis.