4.2.19-T Question Help A pediatrician wants to determine the relation that exist

Question

4.2.19-T Question Help A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the accompanying data. Complete parts (a) through (g) below Click the icon to view the children's data (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable (Round to three decimal places as needed.)

Explanation / Answer

4.2.21.

calculation procedure for regression

mean of X = X / n = 3367

mean of Y = Y / n = 21.36

(Xi - Mean)^2 = 1581430

(Yi - Mean)^2 = 109.25

(Xi-Mean)*(Yi-Mean) = -12284.1

b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2

= -12284.1 / 1581430

= -0.0078

bo = Y / n - b1 * X / n

bo = 21.36 - -0.0078*3367 = 47.5139

value of regression equation is, Y = bo + b1 X

Y'=47.5139-0.0078* X

Line of Regression Y on X i.e Y = bo + b1 X X Y (Xi - Mean)^2 (Yi - Mean)^2 (Xi-Mean)*(Yi-Mean) 2705 28 438244 44.0896 -4395.68 2880 24.5 237169 9.8596 -1529.18 3275 19.5 8464 3.4596 171.12 3735 20.6 135424 0.5776 -279.68 4240 14.2 762129 51.2656 -6250.68

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