A sales manager collected the following data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. Salesperson Years ofExperience Annual Sales($1,000s) 1 1 80 2 3 97 3 4 92 4 4 102 5 6 103 6 8 111 7 10 119 8 10 123 9 11 117 10 13 136 (a) Develop a scatter diagram for these data with years of experience as the independent variable. (b) Develop an estimated regression equation that can be used to predict annual sales (in $1,000s) given the years of experience. ŷ = (c) Use the estimated regression equation to predict annual sales (in $1,000s) for a salesperson with 9 years of experience. $ thousand
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.
| Salesperson | Years of Experience |
Annual Sales ($1,000s) |
|---|---|---|
| 1 | 1 | 80 |
| 2 | 3 | 97 |
| 3 | 4 | 92 |
| 4 | 4 | 102 |
| 5 | 6 | 103 |
| 6 | 8 | 111 |
| 7 | 10 | 119 |
| 8 | 10 | 123 |
| 9 | 11 | 117 |
| 10 | 13 | 136 |
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