Suppose the population regression model, which shows the relationship between the explanatory variables (x1 and x2) and the dependent variable y, is given by log(y) = bo+! X1+b2x2+u Suppose the model has been estimated, and the results are as follows: log(y) = 5.1+2.6×1+0.9x2 Fill in the blanks below with the amount of rise in y and ŷ (y_hat) driven by causes provided in each sentence, respectively. From the coefficient estimate of b2, holding x1 constant, when x2 increases by 1 unit, y rises by %, which is an approximation that becomes more inaccurate as the change in log(y) increases. However, when x2 increases by one unit, y_hat rises by exactly %. When x2 decreases by one unit, y_hat falls by exactly %.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
Suppose the population regression model, which shows the relationship between the explanatory variables (x1 and x2) and the
dependent variable y, is given by
log(y) = bo +b1×1+b2x2+u
Suppose the model has been estimated, and the results are as follows:
log(y) = 5.1 +2.6x1+0.9x2
Fill in the blanks below with the amount of rise in y and ŷ (y_hat) driven by causes provided in each sentence, respectively.
From the coefficient estimate of b2, holding x1 constant, when x2 increases by 1 unit, y rises by
%, which is an approximation that becomes more inaccurate as the change in log(y) increases.
However, when x2 increases by one unit, y_hat rises by exactly
%. When x2 decreases by one
unit, y_hat falls by exactly
%.
Transcribed Image Text:Suppose the population regression model, which shows the relationship between the explanatory variables (x1 and x2) and the dependent variable y, is given by log(y) = bo +b1×1+b2x2+u Suppose the model has been estimated, and the results are as follows: log(y) = 5.1 +2.6x1+0.9x2 Fill in the blanks below with the amount of rise in y and ŷ (y_hat) driven by causes provided in each sentence, respectively. From the coefficient estimate of b2, holding x1 constant, when x2 increases by 1 unit, y rises by %, which is an approximation that becomes more inaccurate as the change in log(y) increases. However, when x2 increases by one unit, y_hat rises by exactly %. When x2 decreases by one unit, y_hat falls by exactly %.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman