Question 2 The local DSO has recently installed new SCADA systems in some parts of the network and has gathered monthly consumption data. For each metering point there is also information about the number of households connected. Since this is a residential area, a lineal model would describe well the relation between the number of households and the monthly consumption. In the table below you have data from the five metering points that belong to your region. Network point A B D E Number of Monthly consumption households (MWh) 10 10 40 33 75 84 100 96 130 94 Let xi denote the number of households and ythe monthly consumption. a) Express the estimation for the monthly consumption, Yi, as a linear function of the number of households. Draw the points and fit an example line. [5 Marks] b) Extract the expressions for the constant term (a) and the slope term (B), that minimize the square errors between ; and yi. [10 Marks] c) Using the x and y; values from the table derive the numerical values for a and B. Calculate the monthly consumption estimate for the urban core that consists of 288 households. (10 Marks)