high-paying jobs for people who Job Average Annual Salary ($1,000s) Stress Tolerance Art directors 81 59.0 Astronomers 96 62.0 Audiologists 70 67.5 Dental hygienists 70 71.3 Economists 92 63.3 Engineers 92 69.5 Law teachers 100 62.8 Optometrists 86 65.5 Political scientists 102 60.1 Urban and regional 65 69.0 planners The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress. (a) Develop a scatter diagram for these data with average annual salary as the independent variable. 75 75 75 70 70 70 65 65 65 Stress Tolerance Stress Tolerance Stress Tolerance 60 60- 60 55 55 55 50 60 70 80 90 100 110 50 60 70 80 90 100 110 50 60 70 80 90 100 110 O Average Annual Salary ($1,000s) Average Annual Salary ($1,000s) Average Annual Salary ($1,000s) 75 70 65 Stress Tolerance 60 55 50 60 70 80 90 100What does the scatter diagram indicate about the relationship between the two variables? There appears to be a negative linear relationship between average annual salary ($1,0005) and stress tolerance. There appears to be a positive linear relationship between average annual salary ($1,0005) and stress tolerance. There appears to be no noticeable relationship between average annual salary ($1,0005) and stress tolerance. (b) Use these data to develop an estimated regression equation that can be used to predict stress tolerance given the average annual salary (in 31,0005). (Round your numerical values to three decimal places). i = S (c) At the 0.05 level of signicance, does there appear to be a signicant statistical relationship between the two variables? (Use the Ftest.) State the null and alternative hypotheses. H0: ill = 0 HE: A e o Ho:o* Hazu=0 Hn:/i10 Ha:l=0 Hu:0=0 Haig*0 Hu:120 Ha:1