Unit 4 Review (Line of Best Fit and Correlation Coefficient)

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 minimizes the distance between the line and all the points in the dataset.

Front

What does the correlation coefficient indicate?

Back

The correlation coefficient measures the strength and direction of a linear relationship between two variables, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

Front

How do you interpret a strong positive correlation?

Back

A strong positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

How do you interpret a strong negative correlation?

Back

A strong negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates no correlation between the two variables, meaning changes in one variable do not predict changes in the other.

Front

What is the formula for the regression equation?

Back

The regression equation is typically expressed as yhat = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a regression line represent?

Back

The slope of a regression line represents the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

Front

What is the y-intercept in a regression equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the significance of rounding in regression equations?

Back

Rounding in regression equations is important for clarity and precision, especially when presenting results; it helps in making the numbers easier to interpret.