Lines of Best Fit

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation.

Front

What is a line of best fit?

Back

A line that best represents the data on a scatter plot, minimizing the distance from all points.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept represents the starting value of y when x is zero.

Front

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

Back

A line of best fit should pass through the center of the data points, minimizing the distance to all points.

Front

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

Back

To make predictions and understand trends in the data.