X - Mx | Y - My | (X - Mx)2 | (X - Mx)(Y -
My) |
0 | -2.4 | 0 | 0 |
2 | 3.6 | 4 | 7.2 |
-1 | -6.4 | 1 | 6.4 |
5 | 5.6 | 25 | 28 |
-6 | -0.4 | 36 | 2.4 |
SS: Total of (X - Mx)2
= 66
SP: Total of (X - Mx)(Y - My)
= 44
Sum of X = 315
Sum of Y = 322
Mean X = 63
Mean Y = 64.4
Sum of squares (SSX) = 66
Sum of products (SP) = 44
b = SP/SSX = 44/66 = 0.66667
a = MY - bMX = 64.4 - (0.67*63) = 22.4
ŷ = 0.66667X + 22.4
c) Mother's Height = 5ft
ŷ = 0.66667X + 22.4
= 0.66667 (5) + 22.4
= 25.74
The predicted height is 25.74 inches
d) Mother Height = 5.6
ŷ = 0.66667X + 22.4
= 0.66667 (5.6) + 22.4
= 26.14
The predicted height is 26.14 inches
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