Question

x 5 8 11 3 2 12 y 30 25 20 50 60 67 Find r...

x 5 8 11 3 2 12
y 30 25 20 50 60 67

Find r and the equation of the linear regression line. (hundredths place).

Math   Statistics-And-Probability   
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Answer #1

solution,

X Y XY X^2 Y^2
5 30 150 25 900
8 25 200 64 625
11 20 220 121 400
3 50 150 9 2500
2 60 120 4 3600
12 67 804 144 4489
n 6
sum(XY) 1644.00
sum(X) 41.00
sum(Y) 252.00
sum(X^2) 367.00
sum(Y^2) 12514.00
Numerator -468.00
Denominator 2456.25
r -0.1905
r square 0.0363
Xbar(mean) 6.8333
Ybar(mean) 42.0000
b -0.8983
a 48.1382

r = - 0.1905

b = - 0.8983

a = 48.1382

= a + bx

= 48.138 + (- 0.898)x

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