Predictions Based on Scatter Plots

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 grid.

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 is a nonlinear association in a scatter plot?

Back

A nonlinear association occurs when the relationship between the variables cannot be accurately represented by a straight line.

Front

What does 'no apparent association' mean in a scatter plot?

Back

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

Front

How can you make predictions using a scatter plot?

Back

You can make predictions by identifying trends in the data points and using the line of best fit to estimate values for unknown data.

Front

What is the line of best fit?

Back

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

Front

How do you determine the best prediction for a grocery bill based on a scatter plot?

Back

To determine the best prediction for a grocery bill, look at the data for a smaller group (e.g., 4 people) and adjust it based on the trend observed in the scatter plot.

Front

What is the significance of the slope in a linear relationship?

Back

The slope indicates the rate of change between the two variables; a steeper slope means a greater change in the dependent variable for a unit change in the independent variable.

Front

How can you interpret the y-intercept in a scatter plot?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero, providing insight into the starting point of the relationship.