Unit #11 Curve and Line of Best fit Questions

Front

What is the equation of the line of best fit?

Back

The equation of the line of best fit is a linear equation that best represents the data points in a scatter plot. For example, y = -25x + 170.

Front

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

Back

A line is considered an accurate line of best fit if it closely follows the trend of the data points, minimizing the distance between the line and the points.

Front

What is the general form of a quadratic equation?

Back

The general form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you determine the line of best fit from a scatter plot?

Back

To determine the line of best fit, you can use methods such as least squares regression, which minimizes the sum of the squares of the vertical distances of the points from the line.

Front

What is the purpose of the line of best fit?

Back

The purpose of the line of best fit is to provide a visual representation of the relationship between two variables and to make predictions based on that relationship.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data, using Cartesian coordinates.

Front

What does a positive slope indicate in a line of best fit?

Back

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

Front

What does a negative slope indicate in a line of best fit?

Back

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

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero, representing the starting point of the line on the y-axis.

Front

What is the difference between linear and quadratic equations?

Back

Linear equations represent a straight line and have the form y = mx + b, while quadratic equations represent a parabola and have the form y = ax^2 + bx + c.