Scatter Plots Part 2

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 slope of a trend line represent in a scatter plot?

Back

The slope of a trend line represents the rate of change between the two variables in the scatter plot.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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

What does the y-intercept represent in a trend line?

Back

The y-intercept represents the value of y when x is zero, indicating the starting point of the trend line.

Front

How can you predict a value using a trend line?

Back

You can predict a value by substituting the x-value into the equation of the trend line to find the corresponding y-value.

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, minimizing the distance between the line and all data points.

Front

What does a positive slope indicate in a scatter plot?

Back

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

Front

What does a negative slope indicate in a scatter plot?

Back

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

Front

What is the significance of an undefined slope?

Back

An undefined slope occurs when the line is vertical, indicating that there is no change in the x-variable regardless of the y-variable.