Lines of Best Fit and Correlation Coefficients DSR 3-7

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

What does a correlation coefficient (r) of 1 indicate?

Back

A perfect positive linear relationship between two variables.

Front

What does a correlation coefficient (r) of -1 indicate?

Back

A perfect negative linear relationship between two variables.

Front

What does a correlation coefficient (r) of 0 indicate?

Back

No linear relationship between the two variables.

Front

How do you interpret a positive correlation?

Back

As one variable increases, the other variable also tends to increase.

Front

How do you interpret a negative correlation?

Back

As one variable increases, the other variable tends to decrease.

Front

What is the formula for calculating the slope of a line?

Back

Slope (m) = (change in y) / (change in x) or (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent in a real-world context?

Back

The rate of change of the dependent variable with respect to the independent variable.

Front

What type of function is represented by a scatter plot that forms a U-shape?

Back

Quadratic function.

Front

What is the purpose of using a scatter plot?

Back

To visually display the relationship between two quantitative variables.