calculale the Rank correlatia the following Data:
X Y
180. 170
155. 165
170. 180
174. 180
160. 164
172. 169
166. 170
172. 170
170. 174
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Answer:
Regression equation of Y on X Y - ¯ Y Y¯ = bxy(X - ¯ X X¯)
Y – 169 = 0.610 (X – 168.6)
Y – 169 = 0.610X – 102.846
Y = 0.610X – 102.846 + 169
Y = 0.160X + 66.154 … (1)
To get son’s height (Y) when the father height is X = 164 cm.
Put X = 164 cm in equation (1) we get
Son’s height = 0.610 × 164 + 66.154
= 100.04 + 66.154 cm = 169.19 cm.
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