Question 1

Four teams (1, 2, 3 and 4) have qualified for the final of the cricket world cup. Team 1 plays Team 2. Team 3 plays Team 4. The winners then play for final. In a game between Team “i” and Team “j”, the probability of team “i” winning is given by \{i /(i+j)\}. Then what is the conditional probability that “Team 1” will win the World Cup? *(Note: Enter your* **answer in decimals** *rounded to two decimal* *places. For example, if your answer is “0.245”,* **enter it as “0.25”***)* The monthly electric power consumed by the paint shop in an automobile assembly line is thought to be related to “Average ambient temperature (X1)”, “Number of working days in the month (X2)” and “Total surface area that is painted (X3)”. The past historical data (in Table-1) was used to build a model containing these variables and the developed regression model is provided below. Electric Power Consumed = 857.75+ 4.25\*X1 – 40.75\*X2 + 3.45\*X3 Figure from the passage in the original paper Given this information, answer the subquestions. What is the R-square value of the model? *(Note: Enter your* **answer in decimals** *rounded to two* *decimal places. For example, if your answer is “0.456”* **enter it as “0.46”***)* The monthly electric power consumed by the paint shop in an automobile assembly line is thought to be related to “Average ambient temperature (X1)”, “Number of working days in the month (X2)” and “Total surface area that is painted (X3)”. The past historical data (in Table-1) was used to build a model containing these variables and the developed regression model is provided below. Electric Power Consumed = 857.75+ 4.25\*X1 – 40.75\*X2 + 3.45\*X3 Figure from the passage in the original paper Given this information, answer the subquestions. What is the Adjusted R-square value of the model? *(Note: Enter your* **answer in decimals** *rounded* *to two decimal places. For example, if your answer is “0.456”* **enter it as “0.46”***)*