Line of best fit - scatter plots

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, showing the trend of the data points.

Front

How do you determine if a line is an accurate line of best fit?

Back

A line is considered an accurate line of best fit if it minimizes the distance between itself and all the data points, ideally passing through the center of the data distribution.

Front

What does a positive correlation indicate in a scatter plot?

Back

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

Front

What does a negative correlation indicate in a scatter plot?

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 in data analysis?

Back

The purpose of the line of best fit is to summarize the relationship between two variables and to make predictions based on that relationship.

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 linear relationship in a scatter plot?

Back

A linear relationship can be identified in a scatter plot if the data points form a pattern that can be approximated by a straight line.

Front

What is the significance of the slope in the line of best fit?

Back

The slope indicates the rate of change between the two variables; a steeper slope means a stronger relationship.

Front

What does the y-intercept represent in the context of a line of best fit?

Back

The y-intercept represents the value of y when x is zero, indicating where the line crosses the y-axis.

Front

What is the difference between a strong and weak correlation?

Back

A strong correlation means the data points are closely clustered around the line of best fit, while a weak correlation means the points are more spread out.