Exercise 14.27 To identify high-paying jobs for people that do not like stress, the following data were collected showing the average annual salary ($1000) and the stress tolerance for a variety of occupations (Business Insider, November 8, 2013). The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress. Click on the datafile logo to reference the data. a. Select a scatter diagram for these data with average annual salary as the independent variable. - Select your answer -Scatter diagram 1Scatter diagram 2Scatter diagram 3Item 1 What does the scatter diagram indicate about the relationship between the two variables?- Select your answer -Positive linear relationshipNegative linear relationshipItem 2 b. Use these data to develop an estimated regression equation that can be used to predict stress tolerance given the average annual salary. Round your answers to four decimal places. = - x c. At the .05 level of significance, does there appear to be a significant statistical relationship between the two variables.- Select your answer -YesNoItem 5 d. Would you feel comfortable in predicting the stress tolerance for a different occupation given the average annual salary for the occupation?- Select your answer -YesNoItem 6 e. Does the relationship between average annual salary and stress tolerance for these data seem reasonable to you?- Select your answer -YesNoItem 7 Job Average Annual Salary ($1000s) Stress Tolerance Art directors 81 69 Astronomers 96 62 Audiologists 70 67.5 Dental hygienists 70 71.3 Economists 92 63.3 Engineers 92 69.5 Law teachers 100 62.8 Optometrists 98 65.5 Political Scientists 102 60.1 Urban and regional planners 65 69
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.
Exercise 14.27
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To identify high-paying jobs for people that do not like stress, the following data were collected showing the average annual salary ($1000) and the stress tolerance for a variety of occupations (Business Insider, November 8, 2013). The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress. Click on the datafile logo to reference the data.
a. Select a
- Select your answer -Scatter diagram 1Scatter diagram 2Scatter diagram 3Item 1 What does the scatter diagram indicate about the relationship between the two variables? b. Use these data to develop an estimated regression equation that can be used to predict stress tolerance given the average annual salary. Round your answers to four decimal places. = - x c. At the .05 level of significance, does there appear to be a significant statistical relationship between the two variables. d. Would you feel comfortable in predicting the stress tolerance for a different occupation given the average annual salary for the occupation? e. Does the relationship between average annual salary and stress tolerance for these data seem reasonable to you? |
| Job | Average Annual Salary ($1000s) | Stress Tolerance |
| Art directors | 81 | 69 |
| Astronomers | 96 | 62 |
| Audiologists | 70 | 67.5 |
| Dental hygienists | 70 | 71.3 |
| Economists | 92 | 63.3 |
| Engineers | 92 | 69.5 |
| Law teachers | 100 | 62.8 |
| Optometrists | 98 | 65.5 |
| Political Scientists | 102 | 60.1 |
| Urban and regional planners | 65 | 69 |
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