3-5 Scatter Plots and Lines of Fit

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 positive correlation in a scatter plot indicate?

Back

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

Front

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 does no correlation mean in a scatter plot?

Back

No correlation means there is no apparent relationship between the two variables; changes in one do not affect the other.

Front

How do you identify the line of best fit in a scatter plot?

Back

The line of best fit is a straight line that best represents the data points in a scatter plot, minimizing the distance between the line and all points.

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 is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept of a line?

Back

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

Front

How can you determine the slope from a scatter plot?

Back

You can determine the slope by selecting two points on the line of best fit and calculating the rise over run between them.

Front

What is the purpose of using a line of fit?

Back

The purpose of using a line of fit is to summarize the relationship between two variables and make predictions based on the data.