Line of Best Fit: Scatter Plots

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, showing the trend of the data points.

Front

What is the 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) can be 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 about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

Front

What is the y-intercept 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.

Front

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

Back

The line of best fit can be visually identified as the line that minimizes the distance between itself and all the data points on the scatter plot.

Front

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

Back

The line of best fit helps to summarize the relationship between two variables and can be used for predictions.

Front

What does it mean if the relationship between two variables is not linear?

Back

If the relationship is not linear, it means that the data points do not follow a straight line pattern, indicating a more complex relationship.

Front

How do you write the equation of a trend line from a scatter plot?

Back

To write the equation, identify two points on the line, calculate the slope, and use the slope-intercept form to find the equation.