Question

The peanut crop was harvested from five fields of various area. The following data are the mass of the crop from each field y (in kilograms) and the field area x (in hectares). y 739015690 13410 19750 12820 x 2.46 4.15 3.27 3.99 3.05 Round your intermediate answers to four decimal places (e.g. 98.7654). (a) Fit the simple linear regression model using the method of least squares. Find the estimate of o?. Round your answer to the nearest integer (e.g. 9876). 10146810 (b) What change in the mean mass is expected when the field area changes by 1 hectare? Round your answer to the nearest integer (e.g. 9876). B = 5873 (c) Calculate the fitted value of y corresponding to x = 4.15. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876). =18311 Round your answer to the nearest integer (e.g. 9876). 2621 e (d) Estimate the mean mass of the crop harvested from 5.0 hectares. Round your answer to the nearest integer (e.g. 9876). ✓ y =[23302

Answer 1

-Solution for given problems, Given that, V X LY 9.46 7390 6.0516 4.15 15790 17.22215 13410 10.6929 3.99 19750 15:9201 3:05 128201 9:3025 y ху 54,612,100 18,177.4 246,176, 100 65,113.5 179,128,100 43850.7 390,062,500 78,90205 164,352,400 39,101 3.27 EM 16.92 sy= 69,060 Enr=59.1257 Syr= 1.0350312e? Ery: 245,047./ Synear En sny Intercept a n(sx") - ((x)} (69,060)x 59.125.7 - 16.92(245,047.1) 5(59.12557) - 16.12) 408 3,220.84 – 4146,196.93 2 95.6285 286.2864 - 62976.09 5-6741.10639 9.3421 a: -6741.10639. slope b- oceny)- Susy, 5(245,047.1) – 16.92.169,060) n(EX) (Ex)~ 5159.1257)- (16.92), 1225,235.5-1168,495.2 56 740.3 295.6285 - 286.2964 b -6,073.613 ŷ = atba 9.3421

X Y 2.46 7697226.57 y 19-Y)? 656,070.209 7390 8199.98161 4.15 15790 18464. 3876 84 327.4556 13,119.6087 3.2713410 3.99 119.750 17492.60955095,811.87 3.05 12920 1,783.4133 / +1074511.99 Elŷrggr 14,607,948.1 : 41869, 316.03 a rr n-2 3 b, we have slope b= 6073.613 B) = 6072. & By using regression equ? as ŷ = +6747.10639 +6073.613(4.15) 18 464.3876 C: - : 15790 – 18464.3876 :-2774.3876 & ý = -6742. 1063946073.613x a (Yilena=5.0 ŷ = 23,626.95861 Hence colved, Think your