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? To evaluate the factors needed to estimate performance on the new processing machines, four variables were selected: 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 randomly selected and data were collected for each of the variables. A few results follow: Performance on New Machine, Mechanical Aptitude Score, Length of Time in Industry, x1 5 y 118 x2 349 345 118 7 Name Mike Miraglia Sue Trythall The equation is: y = 11.6 +0.5x₁ + 0.186x₂ +0.212x3 + 0.002x4 a. What is this equation called? Multiple regression equation Multiple standard error of estimate Coefficient of determination b. How many dependent and Independent variables are there? One dependent, Answer is complete and correct. Four independent. Prior On-the-Job Performance, x3 123 115 Age, X4 34 21

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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? To evaluate the factors needed to estimate performance on the new processing machines, four variables were selected:
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 randomly selected and data were collected for each of the variables. A few results follow:
Mechanical Aptitude
Length of Time in
Industry,
X1
Score,
x2
349
345
Name
Mike Miraglia
Sue Trythall
Performance on New
The equation is:
y = 11.6 +0.5x₁ + 0.186x₂ + 0.212x3 + 0.002X4
a. What is this equation called?
One
Machine,
y
118
118
Multiple regression equation✔
Ⓒ Multiple standard error of estimate
O Coefficient of determination
✓dependent,
b. How many dependent and independent variables are there?
Answer is complete and correct.
independent.
5
Four
7
Prior On-the-Job
Performance,
X3
123
115
Age,
X4
34
21
Transcribed Image Text: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? To evaluate the factors needed to estimate performance on the new processing machines, four variables were selected: 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 randomly selected and data were collected for each of the variables. A few results follow: Mechanical Aptitude Length of Time in Industry, X1 Score, x2 349 345 Name Mike Miraglia Sue Trythall Performance on New The equation is: y = 11.6 +0.5x₁ + 0.186x₂ + 0.212x3 + 0.002X4 a. What is this equation called? One Machine, y 118 118 Multiple regression equation✔ Ⓒ Multiple standard error of estimate O Coefficient of determination ✓dependent, b. How many dependent and independent variables are there? Answer is complete and correct. independent. 5 Four 7 Prior On-the-Job Performance, X3 123 115 Age, X4 34 21
c. What is the number 0.186 called?
Ⓒ Regression coefficient
O Coefficient of determination
O Homoscedasticity
O Multicollinearity
d. As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3
decimal places.)
✔ Answer is complete and correct.
The estimated performane increases by
0.002
e. Carl Knox applied for a job at Photo Works. He has been in the business for 10 years and scored 260 on the mechanical aptitude
test. Carl's prior on-the-job performance rating is 90, and he is 45 years old. Estimate Carl's performance on the new machine. (Round
your answer to 3 decimal places.)
X Answer is complete but not entirely correct.
Estimated performane
105.014 X
Transcribed Image Text:c. What is the number 0.186 called? Ⓒ Regression coefficient O Coefficient of determination O Homoscedasticity O Multicollinearity d. As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3 decimal places.) ✔ Answer is complete and correct. The estimated performane increases by 0.002 e. Carl Knox applied for a job at Photo Works. He has been in the business for 10 years and scored 260 on the mechanical aptitude test. Carl's prior on-the-job performance rating is 90, and he is 45 years old. Estimate Carl's performance on the new machine. (Round your answer to 3 decimal places.) X Answer is complete but not entirely correct. Estimated performane 105.014 X
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