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 a person's mechanical aptitude score 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:

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 119 13 306 130 45
Sue Trythall 117 5 330 115 27

The equation is:
yˆ = 11.5 + 0.5x1 + 0.486x2 + 0.112x3 + 0.007x4

a. What is this equation called?

multiple choice 1
Multiple regression equation
Multiple standard error of estimate
Coefficient of determination


b. How many dependent and independent variables are there?



c. What is the number 0.486 called?

multiple choice 2
Regression coefficient
Coefficient of determination
Homoscedasticity
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.)



e. Carl Knox applied for a job at Photo Works. He has been in the business for 6 years and scored 320 on the mechanical aptitude test. Carl’s prior on-the-job performance rating is 80, and he is 54 years old. Estimate Carl’s performance on the new machine. (Round your answer to 3 decimal places.)