Scatterplots

Front

What is a scatterplot?

Back

A scatterplot 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 scatterplot?

Back

The line of best fit represents the trend of the data points in a scatterplot, indicating the general direction of the relationship between the variables.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive correlation in a scatterplot indicate?

Back

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

Front

What does a negative correlation in a scatterplot indicate?

Back

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

Front

What does no correlation mean in a scatterplot?

Back

No correlation means there is no apparent relationship between the two variables; the data points do not follow a clear trend.

Front

What is the purpose of a trend line in a scatterplot?

Back

A trend line helps to summarize the relationship between the variables and can be used for making predictions.

Front

How can you use a scatterplot to make predictions?

Back

You can use a scatterplot and the line of best fit to estimate the value of one variable based on the value of another.

Front

What is the formula for 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 is the y-intercept in a linear equation?

Back

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