Lines 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, showing the trend of the data points.

Front

How do you determine the slope of a line?

Back

The slope of a line is determined by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive correlation indicate?

Back

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

Front

What does a negative correlation indicate?

Back

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

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 slope-intercept form y = mx + b.

Front

What does it mean if there is no association in a scatter plot?

Back

No association means that there is no discernible relationship between the two variables; changes in one do not affect the other.

Front

How can you predict values using a line of best fit?

Back

You can predict values by using the equation of the line of best fit to find the corresponding y-value for a given x-value.

Front

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

Back

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

Front

What does it mean for a line to be a line of best fit?

Back

A line of best fit minimizes the distance between itself and all the data points, providing the best approximation of the relationship.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable (y) with respect to the independent variable (x).