11.4 Lines and Curves of Best Fit

Front

What is a line of best fit?

Back

A line that best represents the data on a scatter plot, showing the trend of the data points.

Front

How do you determine the equation of a line of best fit?

Back

By using statistical methods such as least squares regression to minimize the distance between the data points and the line.

Front

What does the slope of a line of best fit represent?

Back

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

Front

What is the y-intercept in the context of a line of best fit?

Back

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

Front

What is the purpose of using a curve of best fit instead of a straight line?

Back

To better model relationships in data that are not linear, such as quadratic or exponential relationships.

Front

How can you find the output (y) using a line of best fit?

Back

By substituting the input value (x) into the equation of the line of best fit.

Front

What is the significance of the correlation coefficient in relation to a line of best fit?

Back

It measures the strength and direction of the linear relationship between two variables.

Front

What is the general form of a quadratic equation for a curve of best fit?

Back

y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does it mean if a line of best fit has a positive slope?

Back

It indicates that as the independent variable (x) increases, the dependent variable (y) also increases.

Front

What does it mean if a line of best fit has a negative slope?

Back

It indicates that as the independent variable (x) increases, the dependent variable (y) decreases.