Question

Given are five observations collected in a regression study on two variables. xi 2 6 9...

Given are five observations collected in a regression study on two variables.

xi

 2 6 9 13 20

yi

 9 18 8 25 21

A. Develop the estimated regression equation for these data.

B.Use the estimated regression equation to predict the value of y when

x = 13.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

soluton,

X Y XY X^2 Y^2
2 9 18 4 81
6 18 108 36 324
9 8 72 81 64
13 25 325 169 625
20 21 420 400 441
n 5
sum(XY) 943.00
sum(X) 50.00
sum(Y) 81.00
sum(X^2) 690.00
sum(Y^2) 1535.00
Numerator 665.00
Denominator 1028.74
r 0.6464
r square 0.4179
Xbar(mean) 10.0000
Ybar(mean) 16.2000
SD(X) 6.1644
SD(Y) 6.6753
b 0.7000
a 9.2000

= a + bx

= 9.2000 + (0.7000*13)

= 18.3

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