Line of best Fit

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. It shows the trend of the data points and can be used to make predictions.

Front

What does a positive association in a scatter plot indicate?

Back

A positive association indicates that as one variable increases, the other variable also increases.

Front

What does a negative association in a scatter plot indicate?

Back

A negative association indicates that as one variable increases, the other variable decreases.

Front

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

Back

No association means that there is no discernible relationship between the two variables; changes in one variable do not affect the other.

Front

How do you determine the equation of the line of best fit?

Back

The equation of the line of best fit can be determined using statistical methods such as linear regression, which calculates the slope and y-intercept based on the data points.

Front

What is the slope in the equation of a line?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means a positive association, while a negative slope indicates a negative association.

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the value of y when x is zero. It represents the starting point of the line on the y-axis.

Front

How can you use the line of best fit to make predictions?

Back

You can use the line of best fit to predict the value of one variable based on the value of another by substituting the known value into the equation of the line.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for two variables using dots. Each dot represents an observation in the dataset.

Front

What does it mean if the points on a scatter plot are closely clustered around the line of best fit?

Back

If the points are closely clustered around the line of best fit, it indicates a strong relationship between the two variables.