QUESTION 2.

Thompson Photo Works purchased several new, highly sophisticated machines. The production department needed some guidance with respect to qualifications needed by an operator. Is age a factor? Is the length of service as a machine operator important? To further explore the factors needed to estimate performance on the new machines, four variables were listed: X1 = Length of time employee was a machinist X2 = Mechanical aptitude test score X3 = Prior on-the-job rating X4 = Age Performance on the new machine is designated as Y. Thirty machinists were selected at random. Data were collected for each, and their performances on the new machines were recorded. A few results are as follows: Prior Performance Length of Time Mechanical On-the-Job Name on New Machine, Y as a Machinist, X1 Aptitude Score, X2 Performance, X3 Age, = X4 Andy Kosin 114 12 329 116 41 Sue Annis 115 4 328 119 37 The equation is: Y = 11.9 + 0.1X1 + 0.280X2 + 0.114X3 + 0.003X4 a. What is this equation called? Multiple regression equation b. How many dependent variables are there? Independent variables? One dependent, Four independentc. What is the number 0.280 called? A regression coefficient d. As age increases by one year, how much does estimated performance on the new machine increase? (Round the final answer to 3 decimal places.) Estimated performance e. Carl Knox applied for a job at Photo Works. He has been a machinist for six years, and scored 280 on the mechanical aptitude test. Carl's prior on-the-job performance rating is 97, and he is 35 years old. Estimate Carl's performance on the new machine. (Round the final answer to 3 decimal places.) Carl's performance