Scatterplots and Line of Best Fit

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two variables by displaying data points on a two-dimensional axis.

Front

What does a positive correlation indicate in a scatterplot?

Back

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

Front

What does a negative correlation indicate in a scatterplot?

Back

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

Front

What does 'no correlation' mean in the context of a scatterplot?

Back

'No correlation' means there is no apparent relationship between the two variables being plotted.

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 scatterplot, showing the general direction of the data.

Front

How do you determine 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 slope of -3 indicate about a line?

Back

A slope of -3 indicates that for every 1 unit increase in x, the value of y decreases by 3 units.

Front

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

Back

The formula 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, represented by the value of b in the equation y = mx + b.

Front

How can you tell if a line is a line of best fit?

Back

A line is a line of best fit if it minimizes the distance between itself and all the data points on the scatterplot.