hompson 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, Length of Time in Industry, Mechanical Aptitude Score, Prior On-the-Job Performance, Age, Name y x1 x2 x3 x4 Mike Miraglia 111   6   300   129   45   Sue Trythall 115   10   327   121   26       The equation is: yˆy⁢^⁢  = 10.8 + 0.7x1 + 0.386x2 + 0.112x3 + 0.001x4 d. As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3 decimal places.) The estimated performance increases by__________ e. Carl Knox applied for a job at Photo Works. He has been in the business for 3 years and scored 310 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 95, and he is 60 years old. Estimate Carl’s performance on the new machine. (Round your answer to 3 decima

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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:
 

  Performance on New Machine, Length of Time in Industry, Mechanical Aptitude Score, Prior On-the-Job Performance, Age,
Name y x1 x2 x3 x4
Mike Miraglia 111   6   300   129   45  
Sue Trythall 115   10   327   121   26  
 

 
The equation is:
yˆy⁢^⁢  = 10.8 + 0.7x1 + 0.386x2 + 0.112x3 + 0.001x4

d. As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3 decimal places.)

The estimated performance increases by__________

e. Carl Knox applied for a job at Photo Works. He has been in the business for 3 years and scored 310 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 95, and he is 60 years old. Estimate Carl’s performance on the new machine. (Round your answer to 3 decimal places.)

Estimated Performance____________

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