LSRL Flashcardizz 1

Front

What is the least-squares regression line (LSRL)?

Back

The least-squares regression line (LSRL) is a straight line that best fits a set of data points in a scatterplot, minimizing the sum of the squares of the vertical distances (residuals) between the observed values and the values predicted by the line.

Front

What does a positive residual indicate in a regression analysis?

Back

A positive residual indicates that the observed value is above the predicted value on the least-squares regression line (LSRL).

Front

What is correlation coefficient?

Back

The correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

How does switching the variables in a regression analysis affect the correlation coefficient?

Back

Switching the variables does not change the correlation coefficient; it remains the same regardless of which variable is considered the response or explanatory variable.

Front

What is extrapolation in the context of regression analysis?

Back

Extrapolation is the process of estimating values outside the range of the data used to create the regression model, which can lead to unreliable predictions.

Front

What does the slope of a regression line represent?

Back

The slope of a regression line represents the average change in the response variable for each one-unit increase in the explanatory variable.

Front

What does a regression equation of the form y-hat = a + bx represent?

Back

In this equation, y-hat is the predicted value of the response variable, a is the y-intercept, b is the slope, and x is the explanatory variable.

Front

What does it mean if a data point is considered influential in regression analysis?

Back

An influential data point is one that significantly affects the slope and position of the regression line, often due to its extreme value.

Front

What is the significance of the y-intercept in a regression equation?

Back

The y-intercept is the predicted value of the response variable when the explanatory variable is zero.

Front

How do you interpret a regression line predicting test scores based on age?

Back

A regression line predicting test scores based on age indicates how changes in age are associated with changes in predicted test scores.