Please answer both multiple choice questions below. a.) A linear regression of age (x) on blood lead levels (y) is performed in a sample of men who have worked in factories that manufacture car batteries. The residual plots suggest there is still a pattern remaining, and you decide to add a cubic term for age into the model. Which of the following models is now most appropriate? Blood lead levels = α+ β21(age) + ε, ε ~iid N(0, σ2) Blood lead levels = α+ β1(age3) + ε2, ε ~ iid N(0, σ2) Blood lead levels = α+ β1(age) + β2 (age2) + ε, ε ~iid N(0, σ2)  Blood lead levels = α+ β1(age) + β2 (age2) + β1 (age3) + ε, ε ~iid N(0, σ2) b.) A study has been conducted to analyze the sensitivity and specificity of a screening test. If the area under the ROC curve is 1: The screening test is very helpful. The screening test is not helpful. The screening test is somewhat helpful. Helpfulness cannot be determined from the information given.

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

Please answer both multiple choice questions below.

a.) A linear regression of age (x) on blood lead levels (y) is performed in a sample of men who have worked in factories that manufacture car batteries. The residual plots suggest there is still a pattern remaining, and you decide to add a cubic term for age into the model. Which of the following models is now most appropriate?

  1. Blood lead levels = αβ21(age) + εε ~iid N(0, σ2)
  2. Blood lead levels = αβ1(age3) + ε2ε ~ iid N(0, σ2)
  3. Blood lead levels = αβ1(age) + β2 (age2) + εε ~iid N(0, σ2
  4. Blood lead levels = αβ1(age) + β2 (age2) + β1 (age3) + εε ~iid N(0, σ2)

b.) A study has been conducted to analyze the sensitivity and specificity of a screening test. If the area under the ROC curve is 1:

  1. The screening test is very helpful.
  2. The screening test is not helpful.
  3. The screening test is somewhat helpful.
  4. Helpfulness cannot be determined from the information given.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

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
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