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 7480 15530 13400 20070 12950x 2.26 3.72 3.61 4.02 2.84Required:a. Fit the simple linear regression model using the method of least squares. Find the estimate of ^2.b. What change in the mean mass is expected when the field area changes by 1 hectare?c. Calculate the fitted value of y corresponding to x = 2.26. Find the corresponding residual. d. Estimate the mean mass of the crop harvested from 2.5 hectares.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

answer:

c) the x-coordinate of the center of the circle increases by 3

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