Homework Help is Here – Start Your Trial Now!
Math
Statistics
b. Using a matrix approach, i) find the estimated regression coefficients and hence, state the simple linear regression equation. ii) Do the data support the theory that the percentage of damage squares increase as every day increase in the age of cotton plant? Test using a = 0.05. iii) Find a 95% prediction interval for the percentage of damage squares that affected by 20 days of cotton plant's age.

b. Using a matrix approach, i) find the estimated regression coefficients and hence, state the simple linear regression equation. ii) Do the data support the theory that the percentage of damage squares increase as every day increase in the age of cotton plant? Test using a = 0.05. iii) Find a 95% prediction interval for the percentage of damage squares that affected by 20 days of cotton plant's age.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
See similar textbooks
icon
Related questions
Question
Infestation of crops by insects has long been of great concern to farmers and agricultural scientists. A study namely "Cotton Square Damage by the Plant Bug, Lygus Hesperus, and Abscission Rates" reports data on percent of damage squares (%) which is affected by age of cotton plant (days). The data are shown as follows: Age of a cotton plant 11 12 15 17 18 Damage squares 16 12 18 30 52 41 Age of a cotton plant 21 25 27 30 31 33 Damage squares 23 63 65 60 48 84 b. Using a matrix approach, i) find the estimated regression coefficients and hence, state the simple linear regression equation. ii) Do the data support the theory that the percentage of damage squares increase as every day increase in the age of cotton plant? Test using a = 0.05. iii) Find a 95% prediction interval for the percentage of damage squares that affected by 20 days of cotton plant's age.
Transcribed Image Text:Infestation of crops by insects has long been of great concern to farmers and agricultural scientists. A study namely "Cotton Square Damage by the Plant Bug, Lygus Hesperus, and Abscission Rates" reports data on percent of damage squares (%) which is affected by age of cotton plant (days). The data are shown as follows: Age of a cotton plant 11 12 15 17 18 Damage squares 16 12 18 30 52 41 Age of a cotton plant 21 25 27 30 31 33 Damage squares 23 63 65 60 48 84 b. Using a matrix approach, i) find the estimated regression coefficients and hence, state the simple linear regression equation. ii) Do the data support the theory that the percentage of damage squares increase as every day increase in the age of cotton plant? Test using a = 0.05. iii) Find a 95% prediction interval for the percentage of damage squares that affected by 20 days of cotton plant's age.
Expert Solution
steps

Step by step

Solved in 4 steps with 9 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS