Thompson Photo Works purchased several new, highly sophisticated processing mach

Question

Thompson Photo Works purchased several new, highly sophisticated processing 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 an operator (in years) important? In order to explore further the factors needed to estimate performance on the new processing machines, four variables were listed: X1 = Length of time an employee was in the industry. X2 = Mechanical aptitude test score. X3 = Prior on-the-job rating. X4 = Age. Performance on the new machine is designated Y. Thirty employees were selected at random. Data were collected for each, and their performances on the new machines were recorded. A few results are: Name Performance on New Machine, Y Length of Time in Industry, X1 Mechanical Aptitude Score, X2 Prior On-the-Job Performance X3 Age, X4 Mike Miraglia 112 12 312 121 52 Sue Trythall 113 2 380 123 27 The equation is: = 11.6 + 0.4X1 + 0.286X2 + 0.112X3 + 0.002X4 (a) What is this equation called? (Click to select)Multiple standard error of estimateMultiple regression equationCoefficient of determination (b) How many dependent variables are there? Independent variables? (Click to select)FourFiveThreeOneTwo dependent, (Click to select)OneTwoFourFiveThree independent (c) What is the number 0.286 called? (Click to select)regression coefficientCoefficient of determinationMulticollinearityHomoscedasticity (d) As age increases by one year, how much does estimated performance on the new machine increase?(Round your answer to 3 decimal places.) (e) Carl Knox applied for a job at Photo Works. He has been in the business 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 your answer to 3 decimal places.)

Explanation / Answer

A) As it is the estiamted relation between dependent and independent variables, so it is called Multiple regression equation.

B) there are one dependent variables and four independent variables.

C) As 0.286 is the coefficient of X2 so it is called Regression Coefficient.

D) As Age increases by one year then estimated performance of the machine increases by coefficient of age(X4) in the regression equation, i,e 0.002 unit(ans)

E) Performance on new machine = 11.6 + 0.4 *6 + 0.286*280+ 0.112*97+0.002*35 = 105.014 (ans)

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