Problem 1: You are an operations manager at a large manufacturing plant. You want to analyze the plant's monthly electric power consumption, assuming that it is dependent on the average ambient temperature, the working days, and whether an equipment maintenance is conducted in the month. In the following table, y is the monthly power consumption (in thousands of kWh), X1 is the average ambient temperature (in 0F), Xz is the number of working days in the month, and Maintenance indicates whether an equipment maintenance took place or not. For example, the rst row of the data shows that the monthly power consumption was 210,000 kWh when the average ambient temperature was 20 F, working days were 23, and an equipment maintenance took place. For the dumm variable, code ' es' as 1. The questions are based around the following model: y=i+rxz +2x: +3.13: +3 Using the given data, you should estimate this model to give the prediction equation: 9 = bo + 131151 + 1'21: + 5313 [12 marks] a) Write the estimated equation. 1:) Next month, there will be 22 working days and the forecasted average ambient temperature is 45F. There is also an equipment maintenance planned in the month. What will be your estimate for the month's power consumption? Page 1 of 3