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: 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 112 12 329 122 31 Sue Trythall 117 10 387 119 23 The equation is: yˆ y^ = 11.8 + 0.3x1 + 0.986x2 + 0.812x3 + 0.004x4 What is this equation called? Multiple regression equation Multiple standard error of estimate Coefficient of determination How many dependent and independent variables are there? What is the number 0.986 called? Regression coefficient Coefficient of determination Homoscedasticity Multicollinearity As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3 decimal places.) Carl Knox applied for a job at Photo Works. He has been in the business for 8 years and scored 380 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 70, and he is 72 years old. Estimate Carl’s performance on the new machine. (Round your answer to 3 decimal places.)
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:
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 | 112 | 12 | 329 | 122 | 31 | |||||
Sue Trythall | 117 | 10 | 387 | 119 | 23 | |||||
The equation is:
yˆ y^ = 11.8 + 0.3x1 + 0.986x2 + 0.812x3 + 0.004x4
- What is this equation called?
-
Multiple regression equation
-
Multiple standard error of estimate
-
Coefficient of determination
- How many dependent and independent variables are there?
- What is the number 0.986 called?
-
Regression coefficient
-
Coefficient of determination
-
Homoscedasticity
-
Multicollinearity
- As age increases by one year, how much does estimated performance on the new machine increase? (Round your answer to 3 decimal places.)
- Carl Knox applied for a job at Photo Works. He has been in the business for 8 years and scored 380 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 70, and he is 72 years old. Estimate Carl’s performance on the new machine. (Round your answer to 3 decimal places.)
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