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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. Manager Success Index 28 35 30 32 32 42 47 30 51 52 53 60 30 63 70 73 80 81 95 Number of interactions 28 40 20 45 12 21 40 10 33 65 42 83 18 82 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. Now he tries to interpert the model's coefficients using the equation Success Score=0.60 + 24.81*Interactions. 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 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. The success score of manager-1 is 1. The success score of manager-2 is S2. The difference between the two success scores is 51 - 52=-2.4. To answer the following two questions use the predition equation given here: Score = 30 +0.4*Interactions (this equation is provided in case you failed to answer question 1. It is not the correct prediction equation, but use it to answer the following two questions). 3.1 Of the two managers, who had a larger number of interactions? Explain how do you know. Type your explanation in the "Answers" tab. 3.2 What is the difference between the number of interactions made by the managers? Select the correct answer. a. Impossible to know because 51 and 52 are unknown. b. -0.40*2 C. 30+2 d. -6 4. A co-worker of John StatDud likes to challenge him with questions trying to see his level of understanding of statistics. "The prediction equation you used is incorrect" he said. "The correct equation gives you a sccess-score prediction of 82 when the number of interactions is 75, and a score of 70 when the number of interactions is 65. Can you find the intercept?". Select the correct answer. a. To find the intecept we need to know the slope, but it is not given. b. The intercept is the average of the two score values, so it is (82+75)/2. c. The slope is (82-70)/(75-65) = 0.8, so the intercept =70 + 65(0.8). d. None of the above. Two general questions: 5. The coefficient of determination a. Takes values between-1 to +1. b. Is equal to zero for a perfect fit. c. Is equal to negative one for the poorest fit. d. Is used to evaluate the goodness of fit. 6. If Rsq is greater than 60%, then... a. The probability the model does not fit the data is less than 40%. b. There is a strong linear relationship between the number of interactions and success score. c. If p-value > R sq, the model does not provide enough level of fit. d. None of the above. 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. Manager Success Index 28 35 30 32 32 42 47 30 51 52 53 60 30 63 70 73 80 81 95 Number of interactions 28 40 20 45 12 21 40 10 33 65 42 83 18 82 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. Now he tries to interpert the model's coefficients using the equation Success Score=0.60 + 24.81*Interactions. 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 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. The success score of manager-1 is 1. The success score of manager-2 is S2. The difference between the two success scores is 51 - 52=-2.4. To answer the following two questions use the predition equation given here: Score = 30 +0.4*Interactions (this equation is provided in case you failed to answer question 1. It is not the correct prediction equation, but use it to answer the following two questions). 3.1 Of the two managers, who had a larger number of interactions? Explain how do you know. Type your explanation in the "Answers" tab. 3.2 What is the difference between the number of interactions made by the managers? Select the correct answer. a. Impossible to know because 51 and 52 are unknown. b. -0.40*2 C. 30+2 d. -6 4. A co-worker of John StatDud likes to challenge him with questions trying to see his level of understanding of statistics. "The prediction equation you used is incorrect" he said. "The correct equation gives you a sccess-score prediction of 82 when the number of interactions is 75, and a score of 70 when the number of interactions is 65. Can you find the intercept?". Select the correct answer. a. To find the intecept we need to know the slope, but it is not given. b. The intercept is the average of the two score values, so it is (82+75)/2. c. The slope is (82-70)/(75-65) = 0.8, so the intercept =70 + 65(0.8). d. None of the above. Two general questions: 5. The coefficient of determination a. Takes values between-1 to +1. b. Is equal to zero for a perfect fit. c. Is equal to negative one for the poorest fit. d. Is used to evaluate the goodness of fit. 6. If Rsq is greater than 60%, then... a. The probability the model does not fit the data is less than 40%. b. There is a strong linear relationship between the number of interactions and success score. c. If p-value > R sq, the model does not provide enough level of fit. d. None of the above