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The following data give the height in inches (X) and the weight in lb. (Y) of a random sample of 10 students from a large group of students of age 17 years:

X 61 68 68 64 65 70 63 62 64 67
Y 112 123 130 115 110 125 100 113 116 125

Estimate weight of the student of a height 69 inches.

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\(\bar{Y}=\frac{1169}{10}\) = 116.9

Regression equation of Y on X 

Y - \(\bar{Y}=b_{yx}(X-\bar{X})\)

Y – 117 = 2.3479 (X – 65.2)

Y – 117 = 2.3479X – (2.3479)(65.2)

Y = 2.3479X – 153.08308 + 117 

Y = 2.3479 – 36.08308 

When the height X = 69 inches 

Weight, Y = 2.3479(69) – 36.08308 

= 162.0051 – 36.08308 

= 125.92202 

= 125.92 lb

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