Which of the following statements are true?
A) One way to study the fit of a model is to superimpose a graph of the best-fit function on the scatter plot of the data.
B) An effective approach to assessment of model adequacy is to compute the fitted or predicted values $\hat { y } _ { i }$
And the residuals $e _ { i } = y _ { i } - { y } _ { i }$
, then plot various functions of these computed quantities, and examine the plots either to confirm our choice of model or for indications that the model is not appropriate.
C) Multiple regression analysis involves building models for relating the dependent variable y to two or more independent variables.
D) All of the above statements are true.
E) None of the above statements are true.

Question

Which of the following statements are true?
A) One way to study the fit of a model is to superimpose a graph of the best-fit function on the scatter plot of the data.
B) An effective approach to assessment of model adequacy is to compute the fitted or predicted values $\hat { y } _ { i }$
And the residuals $e _ { i } = y _ { i } -  { y } _ { i }$
, then plot various functions of these computed quantities, and examine the plots either to confirm our choice of model or for indications that the model is not appropriate.
C) Multiple regression analysis involves building models for relating the dependent variable y to two or more independent variables.
D) All of the above statements are true.
E) None of the above statements are true.

Quizplus · Accepted Answer

A) Superimposing a graph of the best-fit function on the scatter plot of the data is indeed a common method to visually assess how well a model fits the observed data. B) Computing the fitted or predicted values and residuals, then plotting and examining these quantities, is a standard approach to assess the adequacy of a model. It helps in identifying any systematic deviations from the model assumptions. C) Multiple regression analysis is precisely about relating a dependent variable to two or more independent variables, aiming to understand how the dependent variable changes as the independent variables vary.

Which of the Following Statements Are True? A) One Way y^i\hat { y } _ { i }y^​i​

Which of the Following Statements Are True?
A) One Way $\hat { y } _ { i }$