Do these graphs look right?

Q L3 224 Linear 8 1,624 36 216 2500 454 27 y = -4.893x3+ 66.315x2+ 36.437x - 58.498 2000 R2 = 0.9628 2,011 9 81 729 1500 1,392 5 25 125 1,505 49 343 1000 740 16 64 500 1,771 11 121 1331 2.242 10 100 1000 10 500 a. Which functional form (linear, quadratic, cubic) is most Quadratic suitable to your data? Construct a scatter diagram but be sure 2500 to just do the dots; don't include the lines that connect them. Then, play around with the trendline feature and include what 2000 y = 0.0009x - 0.4458x2+ 55.519x + 27.891."."....... you consider to be the best trendline. R2 = 0.9604 Linear - 87% 1500 Quad - 94% Cubic - 96% 1000 b. Using OLS, estimate the firm's short-run production function. Comment on the strength of the regression results. Q=-58.4981+36.43734+66.3148/^2-4.8930L^3 The R-squared is 96.2845% this implies that 96.2845% of the variation in the dependent variable is explained by the model 20 40 60 80 100 120 140 consisting of L, L^2 and L^3 as the explanatory variables. Hence, the goodness-of-fit is very strong. * *** Poly. (L2) c. Calculate the Q, AP, and MP for L - 8 workers Q=-58.4981-36.43734+66.314842-4.893043 AP=LQ L3 AP=L-58.4981+36.4373+66.314842-4.893043=L-58.4981+36.4373+6 6.3148L-4.893042 2500 AP=L-58.4981+36.4373+66 31482-4.893012 AP=8-58.4981+36.4373+66.3148+8-4.8930+82=246.4942 2000 AP at L =8 is 246.4942 MPL=OLOQ=36.4373+132.62964-14.678942 1500 V = 3E-06x3 - 0.0076x2 + 6.8423x + 272.69 MP=36.4373+132.6296*8-14.6789-82=158.0265 R = 0.9199 MP at L=8 is 158.0265 1000 d. At 8 workers, is MC rising or falling, and how do you know? 500 MPL=36.4373+132.6295L-14.6789L2 0 200 400 600 800 1000 1200 1400 aLa MPL=132.6296-29.3577L 3... Poly. (L3)