Walgreens purchased several new processing machines. The production department needed some guidance with respect to qualification needed by an operator. Is age a factor? Is the lenght of service as an operator (in years) important? In order to explore further, the factors needed to estimate performance on the new processing machines, 4 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 as y 30 employees were selected at random. Data were collected for each, and their performances on the new machines were recorded. A few results are; Name Performance on new machine (y) Length of time in industry (X1) Mechanical aptitude score (X2) Prior on the job performance (X3) Age (X4) Bill 112 6 310 115 49 Brenda 120 3 320 117 28 The equation is attached; As age increases by one year, how much does estimated performance on the new machine increase? (round to 3 decimal places) A new applicant applies to Walgreens. He has been in the industry for 8 years and scored 390 on the mechanical aptitude test. His prior on the job rating was 65. He is 18 years old. Estimate the applicant's performance on the new machine. (round to 3 decimal places)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Walgreens purchased several new processing machines. The production department needed some guidance with respect to qualification needed by an operator. Is age a factor? Is the lenght of service as an operator (in years) important? In order to explore further, the factors needed to estimate performance on the new processing machines, 4 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 as y
30 employees were selected at random. Data were collected for each, and their performances on the new machines were recorded. A few results are;
| Name | Performance on new machine (y) | Length of time in industry (X1) | Mechanical aptitude score (X2) | Prior on the job performance (X3) | Age (X4) |
| Bill | 112 | 6 | 310 | 115 | 49 |
| Brenda | 120 | 3 | 320 | 117 | 28 |
The equation is attached;
- As age increases by one year, how much does estimated performance on the new machine increase? (round to 3 decimal places)
- A new applicant applies to Walgreens. He has been in the industry for 8 years and scored 390 on the mechanical aptitude test. His prior on the job rating was 65. He is 18 years old. Estimate the applicant's performance on the new machine. (round to 3 decimal places)
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