Scatter Plots and Lines of Best Fit

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 the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine the slope of a line from its equation?

Back

The slope is the coefficient of x in the equation of the line, indicating how much y changes for a unit change in x.

Front

What does a positive linear association in a scatter plot indicate?

Back

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

Front

What does a negative linear association in a scatter plot indicate?

Back

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

Front

What does 'no association' mean in the context of scatter plots?

Back

'No association' means that there is no discernible relationship between the two variables being plotted.

Front

What is the purpose of using a trend line in a scatter plot?

Back

The purpose of a trend line is to summarize the data and make predictions about future values based on the observed relationship.

Front

How can you use a trend line to make predictions?

Back

You can use the trend line equation to input a value for x and solve for y, predicting the outcome based on the trend.

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 linear equation?

Back

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