Lines of best fit recap

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 does the slope of a linear regression equation represent?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable. For example, in the equation y = mx + b, m is the slope.

Front

Estimate the value of r (correlation coefficient) for a strong negative correlation.

Back

-0.99 is an example of a strong negative correlation.

Front

What does a slope of 1.5 in a linear regression equation indicate?

Back

It means that for every additional unit increase in the independent variable, the dependent variable increases by 1.5 units.

Front

How do you interpret the y-intercept in a linear regression equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

What is the formula for a linear regression line?

Back

The formula is typically written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive correlation coefficient indicate?

Back

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

Front

What is the purpose of the line of best fit in data analysis?

Back

The line of best fit helps to summarize the relationship between two variables and can be used for predictions.

Front

What is the regression line for the equation y = 25.05 + 5.57x?

Back

The regression line is represented by the equation itself, showing the relationship between the independent variable x and the dependent variable y.

Front

How can you determine the strength of a correlation?

Back

The strength of a correlation can be determined by the absolute value of the correlation coefficient r, where values close to 1 or -1 indicate a strong correlation.