Homework Help is Here – Start Your Trial Now!
Math
Statistics
For numbers 21 to 25: A survey on lamb farms was conducted and data were collect following variables from a random sample of 30 farmers. Y average live weight of ewes (kg) X₁ area of grazing land (m²) X₂- proportion of farm area that cannot be cultivated X-proportion of area closed for lambs before weaning The computed correlation coefficients of the independent variables with Y are summarized below: Variable X₁ X₂ X3 r -0.003 0.283 0.157 p-value 0.456 0.021 0.035

For numbers 21 to 25: A survey on lamb farms was conducted and data were collect following variables from a random sample of 30 farmers. Y average live weight of ewes (kg) X₁ area of grazing land (m²) X₂- proportion of farm area that cannot be cultivated X-proportion of area closed for lambs before weaning The computed correlation coefficients of the independent variables with Y are summarized below: Variable X₁ X₂ X3 r -0.003 0.283 0.157 p-value 0.456 0.021 0.035

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%
For numbers 21 to 25: A survey on lamb farms was conducted and data were collected on the following variables from a random sample of 30 farmers. Y average live weight of ewes (kg) X₁ area of grazing land (m²) X₂= proportion of farm area that cannot be cultivated X-proportion of area closed for lambs before weaning The computed correlation coefficients of the independent variables with Y are summarized below: Variable X₁ X₂ r -0.003 0.283 0.157 p-value 0.456 0.021 0.035 21. The use of Pearson's correlation analysis between the average live weight of ewes and the other variables is valid because 1. The collected data are quantitative. II. One variable will be used to predict the other variable. A. I only D. Neither I nor II B. Il only C. Both I and II 22. Which of the following is (are) TRUE about the computed correlation coefficients? 1. There is a very weak negative linear relationship between average live weight of ewes and area of grazing land. II. There is a weak positive linear relationship between average live weight of ewes and proportion of farm area that cannot be cultivated. A. I only B. II only C. Both I and II D. Neither I nor II 23. Which of the following is (are) TRUE about the test of hypothesis on correlation coefficients at 5% level of significance? 1. There is sufficient evidence to say that there is a linear relationship between average live weight of ewes and area of grazing land. II. There is sufficient evidence to say that there is a linear relationship between average live weight of ewes and proportion of area closed for lambs before weaning. A. I only B. Il only C. Both I and II D. Neither I nor II 24. The predicting equation for the average live weight of the ewes using the proportion of land closed for the lambs before weaning is Y=23.496+0.103X3. Which of the following is (are) TRUE? 1. The expected average live weight of the ewes when no area is closed for the lambs is 23.496 kg. II. The average live weight of the ewes is expected to decrease by 0.103 kg for every unit increase in the proportion of land closed for the lambs before weaning. A. I only B. II only C. Both I and II D. Neither I nor II 25. Suppose that a multiple linear regression model is fitted for the prediction of average live weight of the ewes using X₁, X2, and X3. Which of the following is (are) TRUE about the test of hypotheses that follow? 1. The linear dependence of Y on the independent variables can be examined by testing the significance of each regression coefficient. II. The utility of the fitted model for predicting Y can be determined by testing the overall significance of the regression. A. I only B. II only C. Both I and II D. Neither I nor II
Transcribed Image Text:For numbers 21 to 25: A survey on lamb farms was conducted and data were collected on the following variables from a random sample of 30 farmers. Y average live weight of ewes (kg) X₁ area of grazing land (m²) X₂= proportion of farm area that cannot be cultivated X-proportion of area closed for lambs before weaning The computed correlation coefficients of the independent variables with Y are summarized below: Variable X₁ X₂ r -0.003 0.283 0.157 p-value 0.456 0.021 0.035 21. The use of Pearson's correlation analysis between the average live weight of ewes and the other variables is valid because 1. The collected data are quantitative. II. One variable will be used to predict the other variable. A. I only D. Neither I nor II B. Il only C. Both I and II 22. Which of the following is (are) TRUE about the computed correlation coefficients? 1. There is a very weak negative linear relationship between average live weight of ewes and area of grazing land. II. There is a weak positive linear relationship between average live weight of ewes and proportion of farm area that cannot be cultivated. A. I only B. II only C. Both I and II D. Neither I nor II 23. Which of the following is (are) TRUE about the test of hypothesis on correlation coefficients at 5% level of significance? 1. There is sufficient evidence to say that there is a linear relationship between average live weight of ewes and area of grazing land. II. There is sufficient evidence to say that there is a linear relationship between average live weight of ewes and proportion of area closed for lambs before weaning. A. I only B. Il only C. Both I and II D. Neither I nor II 24. The predicting equation for the average live weight of the ewes using the proportion of land closed for the lambs before weaning is Y=23.496+0.103X3. Which of the following is (are) TRUE? 1. The expected average live weight of the ewes when no area is closed for the lambs is 23.496 kg. II. The average live weight of the ewes is expected to decrease by 0.103 kg for every unit increase in the proportion of land closed for the lambs before weaning. A. I only B. II only C. Both I and II D. Neither I nor II 25. Suppose that a multiple linear regression model is fitted for the prediction of average live weight of the ewes using X₁, X2, and X3. Which of the following is (are) TRUE about the test of hypotheses that follow? 1. The linear dependence of Y on the independent variables can be examined by testing the significance of each regression coefficient. II. The utility of the fitted model for predicting Y can be determined by testing the overall significance of the regression. A. I only B. II only C. Both I and II D. Neither I nor II
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS