Scatter Plots and Trend Lines

Front

What is a scatter plot?

Back

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

Front

What does a trend line represent in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the data.

Front

What does a positive slope indicate in a trend line?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate in a trend line?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated as the change in y (rise) divided by the change in x (run): m = (y2 - y1) / (x2 - x1).

Front

What does the slope of -5/7 mean in a real-world context?

Back

It means that for every 7 units of increase in the x-variable, the y-variable decreases by 5 units.

Front

What is the purpose of estimating values from a scatter plot?

Back

Estimating values helps to predict outcomes based on observed data trends.

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 the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How can you determine which trend line best fits a scatter plot?

Back

The best-fit trend line minimizes the distance between the line and all data points, showing the overall trend.