Scatter Plots and 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 the slope of a line?

Back

The slope of a line is determined by the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on the line.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What does a slope of zero indicate?

Back

A slope of zero indicates that there is no change in the y-value as the x-value changes, meaning the line is horizontal.

Front

What is the formula for the slope (m) of a line?

Back

The formula for the slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What does it mean if a scatter plot shows no correlation?

Back

If a scatter plot shows no correlation, it means there is no apparent relationship between the two variables being analyzed.