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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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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.
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
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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