Question

Consider the data: X - 1     3     5     7     9     11...

Consider the data:

X - 1     3     5     7     9     11     13     15
Y - 6     14     2   20     10   18       26     22
(c) Obtain the equation of the regression line for these data

Math   Statistics-And-Probability   
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Answer #1

Solution :

X Y XY X^2 Y^2
1 6 6 1 36
3 14 42 9 196
5 2 10 25 4
7 20 140 49 400
9 10 90 81 100
11 18 198 121 324
13 26 338 169 676
15 22 330 225 484

  

n 8
sum(XY) 1154.00
sum(X) 64.00
sum(Y) 118.00
sum(X^2) 680.00
sum(Y^2) 2220.00
Numerator 1680.00
Denominator 2270.59
r 0.7399
r square 0.5474
Xbar(mean) 8.0000
Ybar(mean) 14.7500
SD(X) 3.4157
SD(Y) 6.3683
b 1.2500
a 4.7500

The equation of regression line,

= a + bx

= 4.75 + 1.25x

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