Next is to further explore the variables that are really contributing to the energy production from 2014 to 2022. To be able to do that, we define the following variables. Y variable: total_energy = is the total energy production of different sources (GWh) variable X variables: Coal = 1 if the energy production is from the coal sources and 0 otherwise Electricity supplied = 1 if the energy production is from electricity production sources and 0 otherwise O Fossil fuels = 1 if the energy production is from fossil fuels sources and 0 otherwise. o Natural gas = 1 if the energy production is from natural gas sources and 0 otherwise o Renewables = 1 if the energy production is from renewables sources and 0 otherwise Solar = 1 if the energy production is from solar source and 0 otherwise Others: = 1 if the energy production is from other sources and 0 otherwise. (BASE variable) The output in Exhibit 12 below is a list of correlations of the above variables with "Total energy production". a) The output in Exhibit 12 below is a list of correlations of the above variables with "Total energy production". SA Exhibit 12 Coal Electricity supply Fossil fuels Natural gas Renewables Solar Others Total energy 0.16117 0.388898 0.281181 -0.06547 -0.06722 -0.14603 -0.25825 State variable and compare the values of the strongest and the least impact to the "Total energy" Give an interpretation for either of these variables. (3 marks) b) The output in Exhibit 13 below is a regression of the total energy on the variables coal, electricity supplied, fossil fuels, solar as defined in above. The variable for "Others" is taken as the base in this regression.AT SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Coal Electricity supplied Fossil fuels Solar 0.53550 0.28676 0.28561 6594.0532 2486 df 4 2481 2485 SS Exhibit 13 MS 4.34E+10 1.08E+10 1.08E+11 4.35E+07 1.51E+11 Coefficients Standard Error t Stat 4810.4548 6958.5706 145.4964 33.06236 650.9808 10.68936 650.9808 24.47607 650.9808 17.46363 15933.4542 11368.4864 -3386.5503 650.9808 -5.20223 Significance F F 249.3734 3.10E-180 P-value Lower 95% Upper 95% 6.16E-199 4525.1479 5095.7617 4.18E-26 5682.0489 8235.0923 1.08E-118 14656.9325 17209.9759 1.67E-64 10091.9647 12645.0081 2.13E-07 -4663.0721 -2110.0286 Using Exhibit 13 answer the following questions. i) State and interpret the intercept. (3.5 marks) ii) Interpret the coefficient of "Fossil fuels". (4 marks) 16 iii) To determine if Coal has an impact on the total energy, carry out a test at the 1% level of significance.DXD DAD DADO Show all the steps and use p-value appproach. (3.5 marks) iv) The reason to develop the estimation model is to be able to use it to predict with accuracy. If the mean value of the total energy is 6151.721 GWh, explain how you would evaluate the abo above model (Exhibit 13) to determine its accuracy. Discuss two ways we can evaluate the model. (4 marks) v) Predict the total energy for an average Coal of 12,500 GWh, Electricity supplied of 23,000 GWh, Fossil fuels of 18,000GWh and with no solar input. You are required to show your working clearly. (3 marks) O