1. Thomas photo works purchased several new, highly sophisticated machines.The production department needed some guidance with respect to qualification needed by an operator. Is age a factor? Is the length of service as a machine operator important? To further explore the factors needed to estimate performance on the new machines four variables are listed:

X₁= Length of time employee was a machinist.

X₂= Mechanical aptitude test score.

X₃= Prior on the Job rating.

X₄= Age.

Performance on the new machine is designed as y.

Thirty machinist were selected at random. Data were collected for each, and their performance on the new machines were recorded. A few results are as follow

Name	Performance on new machine, y	Length of time as a machinist, x1	Mechanical aptitude score, x2	Prior on the job performance, x3
Andi kosin	106	12	322	119
Sue Annies	119	12	362	129

The equation is:

y¹= 11.6 + 0.1x₁ + 0.288x₂ + 0.118x₃+ 0.005x₄

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

Estimated performance --------

b) Carl Knox applied for a job at photo works. He has been a machinist for six years, and scored 280 on the mechanical aptitude test. Carl's prior on-the-job performance rating is 97, and he is 35years old. Estimate Carl's performance on the new machine. ( Round final answer to 3 decimal places)

Carl's performance ----------