Scatter Plots and Predictions

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 of the data points in a scatter plot, indicating the general direction of the relationship between the variables.

Front

How do you determine the slope of a line in a scatter plot?

Back

The slope of a line in a scatter plot is determined by the change in the y-values divided by the change in the x-values (rise over run).

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 is the purpose of the line of best fit?

Back

The purpose of the line of best fit is to make predictions about one variable based on the value of another variable.

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

How can you identify a nonlinear association in a scatter plot?

Back

A nonlinear association can be identified when the data points do not form a straight line and instead follow a curved pattern.

Front

What is the y-intercept in a linear equation?

Back

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

Front

What does it mean if there is no correlation in a scatter plot?

Back

No correlation means that there is no apparent relationship between the two variables; the data points are scattered randomly.