Scatter Plots & Line of Best Fit

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 if a line is an accurate line of best fit?

Back

A line is 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 is correlation in the context of scatter plots?

Back

Correlation refers to the strength and direction of a linear relationship between two variables, which can be positive, negative, or none.

Front

What does a positive correlation indicate?

Back

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

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is the formula for the line of best fit in linear regression?

Back

The formula for the line of best fit is typically expressed as 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 roughly form 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 of the dependent variable (y) with respect to the independent variable (x).

Front

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

Back

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