(20 marks) The management of a large firm would like to know something about employee morale and the other variables to which it may be related. To study these relationships, each employee in a simple random sample of 26 empl_oy is interviewed and tested to obtain information concerning morale level and the average number of satisfying extra work social contacts experienced during a week. Whether or not the duties the employee usually performs are appropriate to the job title is also determined The dependent variable Y is measure of morale, the quantitative independent variable, X1 is average number of social contacts, and the following dummy variable coding is used to quantify the qualitative variable; X2 = 1 if yes, X2 = 0 if no. The model including dummy variable and the interaction term was being estimated and a part of computer outputs is below: Y = 145 + 25x1 - 60x2 + 33x1x2 (125) (6.5) (35.1) (15) n 26 F SSE 19250 2.70781782 SSR 52133 Note: SSE = $5 Explained. SSR = SS Residuals 3. Determine the coefficient of multiple determination and explain it. b. Determine the adjusted R2 and explain it. c. Write an equation when the duties the employee usually performs are appropriate to the job title (X2 :1). d. Write an equation when the duties the employee usually performs are not appropriate to the job title (X2 : 0). e. You are to test to determine if all the independent variables are jointly significant. with alpha : 0.05, answer the questions 1) State the null and alternative hypotheses. 2) State the test statistic. 3) What is the degree of freedom? 4) State pvalue. 5) State the conclusion. Are the variables significant? %