Aconsumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. here are the results. heater wattage area 1 1,250 69 2 2,000 71 3 750 247 4 1,750 107 5 1,500 118 6 1,500 222 7 1,250 208 8 1,500 187 9 1,750 280 10 1,250 46 11 2,000 118 12 750 142 13 750 66 14 1,250 242 15 1,750 111 16 1,250 261 17 1,000 58 18 1,000 88 19 1,750 87 20 1,250 157 pictureclick here for the excel data filea. compute the correlation between the wattage and heating area. is there a direct or an indirect relationship? (negative values should be indicated by a minus sign. round your answer to 3 decimal places.) the correlation of wattage and area is . the link (relationship) is (click to select)directindirect. b. conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. use the 0.010 significance level. (negative values should be indicated by a minus sign. round your answer to 3 decimal places.)h0: rho ≤ 0; h1: rho > 0. reject h0 if t > 2.552 t = (click to select)do not rejectreject h0. it is (click to select)quite reasonablenot reasonable to say the population correlation is positive. c. develop the regression equation for effective heating based on wattage. (negative values should be indicated by a minus sign. round your answers to 3 decimal places.) the regression equation is: (click to select)areawattage = + (click to select)wattagearea. d. which heater looks like the "best buy" based on the size of the residual? (round residual value to 2 decimal places.)