Question

x              y                  xy           &nb

x              y                  xy             x2                      y2

3              4                 12              9                  16

4              6                 24             16                 36

5              7                35               25                49

7             12                84              49               144

8            14                112             64                196

_____________________________________________

27           43               267             163             441

Find the slope and intercept

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Answer #1

Solution :

X Y XY X^2 Y^2
3 4 12 9 16
4 6 24 16 36
5 7 35 25 49
7 12 84 49 144
8 14 112 64 196
n 5
sum(XY) 267.00
sum(X) 27.00
sum(Y) 43.00
sum(X^2) 163.00
sum(Y^2) 441.00
Numerator 174.00
Denominator 174.97
r 0.9944
r square 0.9889
Xbar(mean) 5.4000
Ybar(mean) 8.6000
SD(X) 1.8547
SD(Y) 3.7736
b 2.0233
a -2.3256

PREDICTED Y a+ bX b=rSD SDx a Y bX

Slope = 2.0233

Intercept = -2.3256

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