Linear Regression Review

Front

What is the equation of a linear regression line?

Back

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

Front

What does the slope in a linear regression equation represent?

Back

The slope represents the change in the response variable (y) for each one-unit increase in the explanatory variable (x).

Front

What is a residual in the context of linear regression?

Back

A residual is the difference between the observed value and the predicted value from the regression equation.

Front

What is extrapolation in linear regression?

Back

Extrapolation is predicting values of the response variable (y) for values of the explanatory variable (x) that are outside the range of the observed data.

Front

What is interpolation in linear regression?

Back

Interpolation is predicting values of the response variable (y) for values of the explanatory variable (x) that fall within the range of the observed data.

Front

What does a correlation coefficient indicate?

Back

The correlation coefficient measures the strength and direction of the linear relationship between two quantitative variables.

Front

What is the purpose of the least squares method in linear regression?

Back

The least squares method minimizes the sum of the squares of the residuals to find the best-fitting line.

Front

What does a positive correlation indicate?

Back

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

Front

What does a negative correlation indicate?

Back

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

Front

What is an outlier in a scatterplot?

Back

An outlier is a data point that lies significantly outside the pattern of the other data points in a scatterplot.