4.5 Practice

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot. It minimizes the distance between the line and all the data points.

Front

How do you determine the line of best fit from a scatter plot?

Back

The line of best fit can be determined by visually inspecting the scatter plot and drawing a line that passes through the center of the data points, balancing the points above and below the line.

Front

What does the correlation coefficient (r) indicate?

Back

The correlation coefficient (r) indicates the strength and direction of a linear relationship between two variables. It ranges from -1 to 1.

Front

What does an r value of -0.981 suggest about the relationship between two variables?

Back

An r value of -0.981 suggests a strong negative linear relationship between the two variables.

Front

What does an r value of 0.728 suggest about the relationship between two variables?

Back

An r value of 0.728 suggests a moderate positive linear relationship between the two variables.

Front

What is the significance of a line not passing through the middle of the data set?

Back

If a line does not pass through the middle of the data set, it may not accurately represent the trend of the data, making it a poor line of best fit.

Front

What is the purpose of using a line of best fit in data analysis?

Back

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

Front

What does it mean if a line is described as NOT a line of best fit?

Back

It means that the line does not accurately represent the trend of the data points, either by not passing through the center or not fitting the overall pattern.

Front

What is the first step in analyzing a scatter plot?

Back

The first step is to observe the overall pattern of the data points to determine if there is a relationship between the variables.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays two variables as points on a Cartesian plane, allowing for the visualization of relationships between them.