1. Setup: The attendance at a racetrack (r) and the amount that was bet (y) on n = 10 selected days are given in the following table: Attendance x (hundreds) 119 130 121 120 134 133 126 125 132 128 Amount Bet y (millions of dollars) 2.1 3.2 2.6 2.2 3.3 3.9 2.8 2.7 3.4 3.5 Other statistics from our data: = 126.8 S₂ = 5.514 Saz = 273.6 Say = 26.54 ÿ = 2.97 Sy = 0.585 Syy = 3.081 Regression Line Equation: ŷ= -9.33+0.097 (a) Using the data above, calculate the residuals for each ŷ, i= 1,2, ..., 10 and provide the residual values. (3 decimals are fine.) (b) Do the residuals appear to come from a normal distribution? Use either a Q-Q Plot and/or the Shapiro-Wilk Test (using a = 0.05). Provide your plot and/or the results of the test. (c) Suppose we assume that the error variance is equal to 0.36, i.e. ² = 0.36. Find a 95% confidence interval for ₁.
1. Setup: The attendance at a racetrack (r) and the amount that was bet (y) on n = 10 selected days are given in the following table: Attendance x (hundreds) 119 130 121 120 134 133 126 125 132 128 Amount Bet y (millions of dollars) 2.1 3.2 2.6 2.2 3.3 3.9 2.8 2.7 3.4 3.5 Other statistics from our data: = 126.8 S₂ = 5.514 Saz = 273.6 Say = 26.54 ÿ = 2.97 Sy = 0.585 Syy = 3.081 Regression Line Equation: ŷ= -9.33+0.097 (a) Using the data above, calculate the residuals for each ŷ, i= 1,2, ..., 10 and provide the residual values. (3 decimals are fine.) (b) Do the residuals appear to come from a normal distribution? Use either a Q-Q Plot and/or the Shapiro-Wilk Test (using a = 0.05). Provide your plot and/or the results of the test. (c) Suppose we assume that the error variance is equal to 0.36, i.e. ² = 0.36. Find a 95% confidence interval for ₁.
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 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