I Question 1 Not yet answered Marked out of 2.00 1" Flag question A sample of 30 companies was randomly selected for a study investigating what factors affect the size of company bonuses. Data were collected on the number of employees at the company and whether or not the employees were unionized (1=yes, ()2 no). Below are the multiple regression results: Regression Statistics Multiple R 0.789 R Square 0.624 Adjusted R Square 0.596 Standard Error 1631.56 Observations 30 ANOVA df Regression 2 Residual 27 Total 29 Coefficients Intercept 347.9 Employees 0.6547 Union 1259.5 55 119368382 71873285 191241667 Standard Error 872.2 0.1005 865.8 MS 59684191 2661974 t Stat 0.4 5.924 2.08 F Significance F 22.42 0.000 Pval ue 0.693 0.000 0.04? Note: The above regression output is relevant for the subsequent questions. Based on this regression output, which of the following statementfs) is/are INCORRECT? Question 2 Not yet answered Marked out of 2.00 V Flag question 78.9% of the variation in bonuses can be explained by this regression model whether or not the employees were unionized is a dummy variable The independent variables are number of employees and whether or not the employees were unionized The dependent variable is company bonuses Number of employee and union variables arejointly signicant in explaining size of bonuses at 5% significant level Which of the following statements regarding the number of employee variables is FALSE? Oa. Ob. 0c. 0d. For each additional bonus payout, employee size is increased by 0.6547 Company with higher number of employee gave more generous bonuses. At the 5% signicant level, there is a linear relationship between number of employee and size of the company bonuses. The pvalue associated with the ttest for the regression coefficient is 10.05, as such we can reject the null hypothesis at alpha:5%. At the 1% signicant level, we can conclude that there is a linear relationship between number of employee and size of the company bonuses. Question 5 Construct a 95% confidence interval for your estimate of the annual average bonus for a Not yet company with 6000 employees that are unionized. answered Enter the lower bound here. (2 decimal places) Marked out of 2.00 Flag question Answer: Question 6 Construct a 95% confidence interval for your estimate of the annual average bonus for a Not yet company with 6000 employees that are unionized. answered Enter the upper bound here. (2 decimal places) Marked out of 2.00 Flag question Answer:Question 3 Which of the following statements regarding the "Union" variable is TRUE? Not yet answered O a. he annual average bonus is $605.8 lesser for unionized companies compared to the Marked out of nonunionized companies of the same size. 2.00 Flag question O b. The annual average bonus is $605.8 more for unionized companies compared to the nonunionized companies of the same size. O c. At 1% significant level, can can conclude that the regression coefficient of union is significantly different from zero O d. The p-value associated with the t-test for the regression coefficient is