1, The data below represents the number of defective item in samples of 100 at three different speed setting on a production process. The production manager is hoping that he can increase speed and therefore produce more output without incurring an increase in costs caused by an increase in defective parts. At an alpha level of .01 can she conclude that the increase in speed does not increase the average number of defects. Speed Settings 150 rpm. 200 rpm. 250 rpms 10. 12. 13 8. 10. 14 9. 9. 10 9. 9. 11 Fortune magazine publishes an annual list of the 100 best companies to work for. A random sample of 30 of the top 100 companies is shown below. Salaried showers the average annual salary for salaried employees rounded to the nearest $1000 and the column labeled Hourly shows the average annual salary for hourly employees rounded to the nearest $1000. Use these data to develop an estimated regression equation that could be used to predict the average annual salary for salaried employees given the average annual salary for hourly employees. Use excel or minitab to solve the problem and answer the following questions, 1.Write the regression equation. 2. Interpret the regression constant and regression coefficient. 3. Selecta value for the independent variable and forecast the dependent variable. 4. At an alpha level of .01 test the regression coefficient. 5, Test the overall significant of the regression model. 6. Interpret the coefficient of determination. 7. Are there any violations of the general linear model? Discuss each separately and explain. Salaried ($1000). Hourly ($1000( 56. 29 143. 76 71. 37 103. 28 78. 54 48. 25 118. 50 96. 47 71 45 166 56 73 45 126. 80 129 31 100 83 189 63 114 35 93 47 69 44 189 81 103. 51 71. 43 84. 33 105. 77 57. 34 108. 71 79. 59 77. 39 99. 28 57. 24 63. 26