Question

11. (20 pts) The regression equation for the following set of data points is y = 6.65 + 1.47x. X 1 3 6 7 8 у 9 10 15 17 19 Us
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Answer #1

Solution :

X Y XY X^2 Y^2
1 9 9 1 81
3 10 30 9 100
6 15 90 36 225
7 17 119 49 289
8 19 152 64 361
n 5
sum(XY) 400.00
sum(X) 25.00
sum(Y) 70.00
sum(X^2) 159.00
sum(Y^2) 1056.00
Numerator 250.00
Denominator 254.17
r 0.9836
r square 0.9675

The coefficient of determination r2 ,

(«Ζ)-(AZ)4 (17)-(AZ). (43)(x3) - αζα

r = 0.9836

r2 = 0.9675

Answer : The coefficient of determination r2 is 0.9675

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