Question

1. [5 points] Consider a simple linear regression model y = ?? + ??x + ?. By using the OLS method, you estimated the model with the fitted value of y as ?. Answer the following questions: (1) If you run a simple linear regression model of ? on x, what is the value of R" of the regression model? Explain briefly. (2) Consider the correlation coefficient ? between y and ?. What is the relationship between ? and R" of original regression model (I.1)?

          1. [5 points] Consider a simple linear regression model
y = ?? + ??x + ?.
By using the OLS method, you estimated the model with the fitted value of y as ?. Answer the following questions:
(1) If you run a simple linear regression model of ? on x, what is the value of R" of the regression model? Explain briefly.
(2) Consider the correlation coefficient ? between y and ?. What is the relationship between ? and R" of original regression model (I.1)?

1. [5 points] Consider a simple linear regression model
y = ?? + ??x + ?.
By using the OLS method, you estimated the model with the fitted value of y as ?. Answer the following questions:
(1) If you run a simple linear regression model of ? on x, what is the value of R" of the regression model? Explain briefly.
(2) Consider the correlation coefficient ? between y and ?. What is the relationship between ? and R" of original regression model (I.1)?

Added by Antonio C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

04/14/2023

Step 1

It ranges from 0 to 1, where 0 indicates that the model does not explain any of the variability in the dependent variable, and 1 indicates that the model perfectly explains the variability in the dependent variable. In other words, R² tells us how well the Show more…

Show all steps