Consider two variables regarding Electric Vehicles (EV), Range being the number of miles an EV can travel on a fully charged battery, and Price being the price of the corresponding EV model in 1000 $ (i.e. 40 means $40,000). X:Range (in Mile) Y:Price (in 1000 $) 115 125 105 107 80 60 60 40 (a)Derive the regression coefficients b0 and b1. Show your calcluation. Interpret the meaning of bl. (b)Find R-squared. Interpret the result. (c)Given the estimated standard error (SEb1) for the slope coefficient = 0.145, conduct a hypothesis test with 5% significance level to test if Range is statistically significantly explaining the variability of Price. You have to include all the components of a hypothesis test (hypotheses, decision rule, decision, interpretation). t-table 1234 0.100 3.078 1.886 1.638 1.533 Model 1 2 3 4 0.050 6.314 2.920 2.353 2.132 a 0.025 12.706 4.303 3.182 2.776 0.010 31.821 6.965 4.541 3.747 0.005 9925 5.841