X | Y | XY | X² | Y² |
23 | 2 | 46 | 529 | 4 |
25 | 4 | 100 | 625 | 16 |
28 | 6 | 168 | 784 | 36 |
43 | 8 | 344 | 1849 | 64 |
44 | 9 | 396 | 1936 | 81 |
Ʃx = | 163 |
Ʃy = | 29 |
Ʃxy = | 1054 |
Ʃx² = | 5723 |
Ʃy² = | 201 |
Sample size, n = | 5 |
x̅ = Ʃx/n = 163/5 = | 32.6 |
y̅ = Ʃy/n = 29/5 = | 5.8 |
SSxx = Ʃx² - (Ʃx)²/n = 5723 - (163)²/5 = | 409.2 |
SSyy = Ʃy² - (Ʃy)²/n = 201 - (29)²/5 = | 32.8 |
SSxy = Ʃxy - (Ʃx)(Ʃy)/n = 1054 - (163)(29)/5 = | 108.6 |
Slope, b = SSxy/SSxx = 108.6/409.2 = 0.2653959
y-intercept, a = y̅ -b* x̅ = 5.8 - (0.2654)*32.6 = -2.851906
Regression equation :
ŷ = -2.8519 + (0.2654) x
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Q4:
False.
They fall on the same line.
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