Calculating Line & Curve of Best Fit

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. It is used to predict values and shows the relationship between two variables.

Front

How do you calculate the slope of a line of best fit?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2) on the line.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

Given the equation y = 0.16x - 0.3, what is the slope?

Back

The slope is 0.16.

Front

Given the equation y = 0.20x + 26, what is the y-intercept?

Back

The y-intercept is 26.

Front

How can you use a line of best fit to make predictions?

Back

You can use the equation of the line to substitute values of x to find corresponding values of y.

Front

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

Back

The purpose is to summarize the relationship between variables and to make predictions based on that relationship.

Front

What does a positive slope indicate about the relationship between two variables?

Back

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

Front

What does a negative slope indicate about the relationship between two variables?

Back

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