Question

Which of the following would be the LSRL for the given data?   x   2 7 8...

Which of the following would be the LSRL for the given data?

  x   2 7 8 11 17 16
  y   23 28 29 40 28 42

a) ŷ = 23.53 + 0.8004 x

b) ŷ = 23.53 - 0.8004 x

c) ŷ = 0.8004 + 23.53 x

d) ŷ = 0.8004 - 23.53 x

e) None of the above

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

X Y XY X^2 Y^2
2 23 46 4 529
7 28 196 49 784
8 29 232 64 841
11 40 440 121 1600
17 28 476 289 784
16 42 672 256 1764

  

n 6
sum(XY) 2062.00
sum(X) 61.00
sum(Y) 190.00
sum(X^2) 783.00
sum(Y^2) 6302.00
Numerator 782.00
Denominator 1293.30
r 0.6047
r square 0.3656
Xbar(mean) 10.1667
Ybar(mean) 31.6667
SD(X) 5.2095
SD(Y) 6.8961
b 0.8004
a 23.5292

The regression equation,

= a + bx

= 23.53 + 0.8004 x

Answer : Option A is correct

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