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2.2 Which answer should John select with respect to the predicted success score of a manager with no interactions at all? a. 24.81 b. 0.60 c. The given equation should not be used to make the requested prediction. d. None of the above. 3. Assume that a larger sample was taken, yielding a new regression equation: Score = 30 +0.4"[Interactions). Upper management decided a manager needs to take special training if his/her score is not expected to exceed 100 with 95% confidence. For Cliff Brown the 95% prediction interval of the score level is (95,105). Should he take the training? a. No. The point prediction by the regression is 100. b. Impossible to answer. Half of the interval is below and half is above 100. c. Yes. It is possible that the score will be below 100. d. No. The interval is not located entirely under 100. 4. Based on the regression equation of problem 3, the success score of Manager-1' is 51. The success score of 'Manager-2' is S2. The difference between the two success scores is S1 - S2 = -2.4. Answer the following two questions. 4.1 of the two managers, who had a larger number of interactions? Explain how do you know. Type your explanation in the "Answers" sheet. 4.2 What is the difference between the number of interactions made by the two managers (that is find 'Interactions-1' minus 'Interactions-2')? Show your calculations in the "Answers" sheet. Manager Success Index Number of interactions 28 35 30 32 32 A study tried to identify activities that help managers' success. To measure manager's success an index was devised where higher score indicates larger success in the company. One element of interest to the researchers was the amount of interactions with outsiders' in relation to the manager's success. Data were collected for 19 managers that included the index of success and the number of interactions with outsiders. 42 A10 47 30 51 52 53 60 28 40 20 45 12 21 40 10 33 65 42 83 18 30 82 63 70 73 80 81 95 20 71 70 68 81 1. The prediction equation that predicts the success score is: a. Success Score= 24.81+6.68*Interactions b. Success Score= 0.60 + 24.81*Interactions c. Interactions = -3.01 +0.92*Success Score d. None of the above. 2. John StatDud selected answer 'b' as the correct answer of question 1 above. So he tries to interpert the model's coefficients using the equation Success Score=0.60 + 24.81*Interactions. Whether correct or not, based on this equation answer questions 2.1 and 2.2 2.1 Which answer would be correct for John from the answers provided below? a. For every unit of the slope, the intercept increases by 24.81 units. b. One unit increase of the slope leads to 0.60 units increase of the success score c. The slope means that for every unit increase of the success score, the number of interactions will increase by 24.81 on the average. d. None of the above is correct Assinnment 1 Answers