An engineering society believes that the important factors that companies take into consideration in new hiring...

 

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An engineering society believes that the important factors that companies take into consideration in new hiring for senior positions are number of years of experience, X1, and the number of publications/patents, X2. The society selected 15 candidates who were interviewed recently and found to be or not to be hired. The data collected are given below, with Y the response variable (Y=1 if the candidate was hired and 0 otherwise): Y 1 1 0 1 1 1 1 0 0 1 1 1 0 9 9 10 7 16 15 (X1) 12 15 (X2) 39 38 26 12 35 22 36 28 34 8 10 16 14 20 20 30 22 10 37 38 16 (a) Fit a logit regression model 7 = log odds = Bo + B,X1 + B2X2 to these data. (b) Test each of the hypotheses Ho : B; = 0 versus H1 : B; 0, i = 1,2, at the 5% level of significance. %3D An engineering society believes that the important factors that companies take into consideration in new hiring for senior positions are number of years of experience, X1, and the number of publications/patents, X2. The society selected 15 candidates who were interviewed recently and found to be or not to be hired. The data collected are given below, with Y the response variable (Y=1 if the candidate was hired and 0 otherwise): Y 1 1 0 1 1 1 1 0 0 1 1 1 0 9 9 10 7 16 15 (X1) 12 15 (X2) 39 38 26 12 35 22 36 28 34 8 10 16 14 20 20 30 22 10 37 38 16 (a) Fit a logit regression model 7 = log odds = Bo + B,X1 + B2X2 to these data. (b) Test each of the hypotheses Ho : B; = 0 versus H1 : B; 0, i = 1,2, at the 5% level of significance. %3D

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