Scatter Plots and Trend Lines

Front

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.

Front

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

Back

A 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

What is a positive association in a scatter plot?

Back

A positive association occurs when an increase in one variable corresponds to an increase in another variable, resulting in an upward trend in the scatter plot.

Front

What is a negative association in a scatter plot?

Back

A negative association occurs when an increase in one variable corresponds to a decrease in another variable, resulting in a downward trend in the scatter plot.

Front

What does no association mean in a scatter plot?

Back

No association means that there is no discernible relationship between the two variables, and the data points are scattered randomly.

Front

How do you determine the line of best fit?

Back

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

Front

What is the purpose of using a scatter plot?

Back

The purpose of using a scatter plot is to visually represent the relationship between two variables and to identify patterns, trends, or correlations.

Front

What does it mean if a scatter plot shows a linear relationship?

Back

A linear relationship means that the data points can be approximated by a straight line, indicating a consistent rate of change between the two variables.

Front

If Joe worked 30 hours and earned $600, what is his hourly wage?

Back

His hourly wage is $20 per hour.

Front

What is the formula for calculating the slope of a line in a scatter plot?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.