Equation of Line of Best Fit (Scatter Plots)

Front

What is the equation of a line of best fit?

Back

The equation of a line of best fit is a linear equation that best represents the data points in a scatter plot, minimizing the distance between the points and the line.

Front

What does a positive slope indicate in a line of best fit?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing a direct relationship between the two variables.

Front

What does a negative slope indicate in a line of best fit?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship between the two variables.

Front

What is the purpose of the line of best fit in data analysis?

Back

The purpose of the line of best fit is to summarize the relationship between two variables and to make predictions based on that relationship.

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 two points on the line.

Front

What does it mean if the line of best fit has a slope of zero?

Back

A slope of zero means that there is no relationship between the x and y variables; the y-value remains constant regardless of the x-value.

Front

What is the y-intercept in the equation 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 in the equation y = mx + b.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for two variables using dots to represent the data points, allowing for visual analysis of relationships.

Front

What does it mean for points to be 'not necessarily data from the set'?

Back

It means that the points shown may represent a trend or prediction but do not have to be actual data points collected in the study.

Front

How can you visually assess the line of best fit on a scatter plot?

Back

You can visually assess the line of best fit by observing how closely the data points cluster around the line, indicating the strength of the relationship.