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.
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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
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