Line of Best Fit

Front

What is the Line of Best Fit?

Back

The Line of Best Fit is a straight line that best represents the data on a scatter plot. It is used in linear regression to predict values.

Front

What is the purpose of the linear regression equation?

Back

The linear regression equation is used to model the relationship between two variables, allowing for predictions based on the data.

Front

What does the slope of a line represent in a linear equation?

Back

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

Front

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

Back

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

Front

How do you determine if a line is a good fit for the data?

Back

A line is a good fit if it minimizes the distance between the line and all the data points, often assessed using the least squares method.

Front

What is positive correlation?

Back

Positive correlation occurs when an increase in one variable leads to an increase in another variable.

Front

What is negative correlation?

Back

Negative correlation occurs when an increase in one variable leads to a decrease in another variable.

Front

What is no correlation?

Back

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

Front

How do you calculate the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

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