Below is a data for rainfall and runoff volume in Marfa Texas Rainfall 12 14 17 23 30 40 47 Run off 4 10 13 15 15 25 27 26 Rain fall 55 67 72 81 96 112 127 Run off 38 46 53 70 82 99 100 a. Build a linear regression model. b. Find the residual of all the data points. What is the average value of these residuals? What is the average value of the residuals squared? c. What is the total variance of the runoff volume? What proportion of the observed variation of runoff volume can be attributed to the linear relationship between rainfall and run off?
Below is a data for rainfall and runoff volume in Marfa Texas Rainfall 12 14 17 23 30 40 47 Run off 4 10 13 15 15 25 27 26 Rain fall 55 67 72 81 96 112 127 Run off 38 46 53 70 82 99 100 a. Build a linear regression model. b. Find the residual of all the data points. What is the average value of these residuals? What is the average value of the residuals squared? c. What is the total variance of the runoff volume? What proportion of the observed variation of runoff volume can be attributed to the linear relationship between rainfall and run off?
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
Please provide solution and logic for questions attached, thanks!
Transcribed Image Text:Below is a data for rainfall and runoff volume in Marfa Texas
Rainfall
12
14
17
23
30
40
47
Run off
4
10
13
15
15
25
27
26
Rain fall
55
67
72
81
96
112
127
Run off
38
46
53
70
82
99
100
a. Build a linear regression model.
b. Find the residual of all the data points. What is the average value of these residuals? What is the average value of the
residuals squared?
c. What is the total variance of the runoff volume? What proportion of the observed variation of runoff volume can be
attributed to the linear relationship between rainfall and run off?
d. Plot the residuals vs rainfall. Make a histogram of the residuals. What does it tell you?
e. What is your 95% confidence interval for runoff the average day that rainfall volume is 40?
f. What is your 95% confidence interval for runoff for a specific day that rainfall volume is 40?
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 4 steps
Knowledge Booster
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.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