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21. Use the least square method to determine the equation of line of best fit for the data by completing the following table

College of WestchUSIU

math   Statistics-And-Probability   
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Answer #1
X Y X * Y X2 Y2
8 3 24 64 9
2 10 20 4 100
11 3 33 121 9
6 6 36 36 36
5 8 40 25 64
4 12 48 16 144
12 1 12 144 1
9 4 36 81 16
6 9 54 36 81
1 14 14 1 196
Total 64 70 317 528 656

Equation of regression line is Ŷ = a + bX
((X3) – 2X3u)/(43X3 – XX3U) = 9
b= (10 * 317 – 64 * 70)/(10 * 528 – (64))
b = -1.106


a =( Σ Y - ( b * Σ X) ) / n
a =( 70 - ( -1.1064 * 64 ) ) / 10
a = 14.081
Equation of regression line becomes Ŷ = 14.0811 - 1.1064 X


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