For numbers 21 to 25: A survey on lamb farms was conducted and data were collected on thefollowing 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 cultivatedX-proportion of area closed for lambs before weaningThe computed correlation coefficients of the independent variables with Y are summarized below:VariableX₁X₂r-0.0030.2830.157p-value0.4560.0210.03521. The use of Pearson's correlation analysis between the average live weight of ewes and theother variables is valid because1. The collected data are quantitative.II. One variable will be used to predict the other variable.A. I onlyD. Neither I nor IIB. Il onlyC. Both I and II22.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 andarea of grazing land.II. There is a weak positive linear relationship between average live weight of ewes andproportion of farm area that cannot be cultivated.A. I onlyB. II onlyC. Both I and IID. Neither I nor II23. Which of the following is (are) TRUE about the test of hypothesis on correlation coefficients at5% level of significance?1. There is sufficient evidence to say that there is a linear relationship between average liveweight of ewes and area of grazing land.II. There is sufficient evidence to say that there is a linear relationship between average liveweight of ewes and proportion of area closed for lambs before weaning.A. I onlyB. Il onlyC. Both I and IID. Neither I nor II24. The predicting equation for the average live weight of the ewes using the proportion of landclosed for the lambs before weaning isY=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 is23.496 kg.II. The average live weight of the ewes is expected to decrease by 0.103 kg for every unitincrease in the proportion of land closed for the lambs before weaning.A. I onlyB. II onlyC. Both I and IID. Neither I nor II25. Suppose that a multiple linear regression model is fitted for the prediction of average liveweight of the ewes using X₁, X2, and X3. Which of the following is (are) TRUE about the test ofhypotheses that follow?1. The linear dependence of Y on the independent variables can be examined by testing thesignificance of each regression coefficient.II. The utility of the fitted model for predicting Y can be determined by testing the overallsignificance of the regression.A. I onlyB. II onlyC. Both I and IID. Neither I nor II

Since we only do up to three sub parts of a problem, we'll be doing the first three sub parts only.…

Answered: For numbers 21 to 25: A survey on lamb…

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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