Scatter Plots and Line of Best Fit

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables where each point represents an observation in the dataset, showing the relationship between the variables.

Front

What does the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine if a line is a good estimate of best fit?

Back

A line is a good estimate of best fit if it minimizes the distance between itself and all the data points, often evaluated using the least squares method.

Front

What is the purpose of the line of best fit?

Back

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

Front

What does a positive slope in a line of best fit indicate?

Back

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

Front

What does a negative slope in a line of best fit indicate?

Back

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

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 find the slope of a line of best fit from a scatter plot?

Back

The slope can be found by selecting two points on the line of best fit and using the formula (y2 - y1) / (x2 - x1).

Front

What is the significance of 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 relationship between the two variables.

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 correlation between the two variables.