Answer Happy

Question A4 A director of GHK company wanted to predict the job performance of the workers (y) by their IQ scores (x₁) and their motivation scores (x₂). He then randomly selected 40 workers from the company and performed data analysis. A multiple linear regression model was then developed by R using this dataset. Description of the variables and R outputs are listed as follows. Variable Name in R Description Job (y) Job performance of the workers IQ (₁) IQ scores of the workers Motivation (x₂) Motivation score of the workers, ranging from 0 to 10. Higher scores indicate higher motivation. > summary (model) Call: 1m (formula = Job ~ TQ + Motivation, data = q4) Coefficients: Estimate Std. Error t value Pr (>|t|) (Intercept) -0.67265 0.54528 -1.234 0.225141 IQ 0.03735 0.01127 3.314 0.002062 ** Motivation 0.51488 0.13980 3.683 0.000732 *** > anova (model) Pr (>F) ΤΟ Df Sum Sq Mean Sq F value 1 110.398 110.398 266.106 5.627 5.627 13.564 Residuals 37 15.350 2.22e-16 *** 0.0007325 *** Motivation 1 0.415 Correct the final answers to 3 decimal places. (a) Based on the above R output, find the estimated multiple linear regression equation for predicting job performance of the workers in GHK company. Perform a significance test for the model parameter of the IQ score of the workers with the level of significance of 0.05 using the critical value approach. (8 marks) (b) Calculate the standard error of estimate. (2 marks)