A professor wants to understand the relationship between students' class attendance (X;) and the grades that the students secure in the final exam (Y;). The professor selects 108 students at random for the experiment. The estimated OLS regression is: Y₁ = 45.23 +1.86X₁, where Ỹ; denotes the predicted value of the grades obtained by the th student and X; denotes the number of classes the student attends. Let B₁Ax represent the predicted change in the test score associated with a small change in the attendance (Ax). Suppose that the professor wants to see the effect of a fall in attendance by 2 days on the test scores. If the standard error of the estimated slope ₁ is 0.85, the 95% confidence interval for B₁ Ax will be: [.). (Round your answers to two decimal places. Enter a minus sign if your answers are negative.)
A professor wants to understand the relationship between students' class attendance (X;) and the grades that the students secure in the final exam (Y;). The professor selects 108 students at random for the experiment. The estimated OLS regression is: Y₁ = 45.23 +1.86X₁, where Ỹ; denotes the predicted value of the grades obtained by the th student and X; denotes the number of classes the student attends. Let B₁Ax represent the predicted change in the test score associated with a small change in the attendance (Ax). Suppose that the professor wants to see the effect of a fall in attendance by 2 days on the test scores. If the standard error of the estimated slope ₁ is 0.85, the 95% confidence interval for B₁ Ax will be: [.). (Round your answers to two decimal places. Enter a minus sign if your answers are negative.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Q34
![A professor wants to understand the relationship between students' class attendance (X;) and the grades that the students secure in the final exam (Y;). The professor
selects 108 students at random for the experiment.
The estimated OLS regression is:
Y₁ = 45.23 +1.86X₁,
where Ỹ; denotes the predicted value of the grades obtained by the th student and X; denotes the number of classes the student attends.
Let B₁Ax represent the predicted change in the test score associated with a small change in the attendance (Ax). Suppose that the professor wants to see the effect of
a fall in attendance by 2 days on the test scores.
If the standard error of the estimated slope ₁ is 0.85, the 95% confidence interval for B₁Ax will be: [.].
(Round your answers to two decimal places. Enter a minus sign if your answers are negative.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb90206e9-08b2-4066-9c31-8577660fc164%2Fe741846d-e09a-44e6-a250-3aa56509daa4%2Fua6vr9n_processed.png&w=3840&q=75)
Transcribed Image Text:A professor wants to understand the relationship between students' class attendance (X;) and the grades that the students secure in the final exam (Y;). The professor
selects 108 students at random for the experiment.
The estimated OLS regression is:
Y₁ = 45.23 +1.86X₁,
where Ỹ; denotes the predicted value of the grades obtained by the th student and X; denotes the number of classes the student attends.
Let B₁Ax represent the predicted change in the test score associated with a small change in the attendance (Ax). Suppose that the professor wants to see the effect of
a fall in attendance by 2 days on the test scores.
If the standard error of the estimated slope ₁ is 0.85, the 95% confidence interval for B₁Ax will be: [.].
(Round your answers to two decimal places. Enter a minus sign if your answers are negative.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 8 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman