M1. Mod 5 Scatterplots

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does the line of best fit represent in a scatterplot?

Back

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

Front

What is slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a line from two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a positive slope indicate in a scatterplot?

Back

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

Front

What does a negative slope indicate in a scatterplot?

Back

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

Front

What is a nonlinear relationship in a scatterplot?

Back

A nonlinear relationship occurs when the data points do not form a straight line, indicating a more complex relationship between the variables.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How can you identify outliers in a scatterplot?

Back

Outliers are points that fall far away from the general trend of the data, often appearing isolated from the cluster of other points.

Front

What is the purpose of using a trend line in data analysis?

Back

A trend line helps to summarize the relationship between variables, making it easier to predict values and understand patterns.