3.2q Linear Regression LSRL CP Stats

Front

What is Linear Regression?

Back

A statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Front

What does LSRL stand for?

Back

Least Squares Regression Line, which is the line that 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

To provide a visual representation of the relationship between two variables, helping to predict values.

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 the slope of a line in linear regression?

Back

Slope (m) = (NΣxy - ΣxΣy) / (NΣx² - (Σx)²), where N is the number of data points.

Front

What does the y-intercept represent in a linear equation?

Back

The value of the dependent variable when the independent variable is zero.

Front

What is the significance of R-squared in linear regression?

Back

R-squared indicates the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Front

What is a scatterplot?

Back

A graphical representation of two variables where each point represents an observation.

Front

What does it mean if a scatterplot shows no correlation?

Back

There is no discernible relationship between the two variables; changes in one do not predict changes in the other.