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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
X3 = proportion of area closed for lambs before weaning
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a1ff2b8-90b1-44ab-871c-06e52e95307a%2F39c5327b-4d2b-48f1-a0e4-4301f1d53450%2F119mtvzh_processed.png&w=3840&q=75)
Transcribed Image Text: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.
![Sources of Variation
Companies
Type
Error(a)
Temperature
Type x Temperature
Error(b)
Speed
Type x Speed
Temperature x Speed
Type x Temperature x Speed
Error (c)
Fc
0.8774
5.6712
-
0.5431
0.9241
9.0164
1.2523
7.9854
0.9817
p-value
0.5671
0.0230
0.8832
0.9212
0.0023
0.4312
0.0152
0.6571](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a1ff2b8-90b1-44ab-871c-06e52e95307a%2F39c5327b-4d2b-48f1-a0e4-4301f1d53450%2Fi61lmt8_processed.png&w=3840&q=75)
Transcribed Image Text:Sources of Variation
Companies
Type
Error(a)
Temperature
Type x Temperature
Error(b)
Speed
Type x Speed
Temperature x Speed
Type x Temperature x Speed
Error (c)
Fc
0.8774
5.6712
-
0.5431
0.9241
9.0164
1.2523
7.9854
0.9817
p-value
0.5671
0.0230
0.8832
0.9212
0.0023
0.4312
0.0152
0.6571
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