Question

In: Statistics and Probability

The following sample observations were randomly selected: 1 2 3 4 5 X: 15 8 9...

The following sample observations were randomly selected:

1 2 3 4 5
X: 15 8 9 12 8
Y: 25 22 16 16 14

            
a. Not available in Connect.

b. Determine the regression equation. (Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round the final answers to 4 decimal places.)   

                                        
b =----  a =----

Y' = -----+-----  X

           
c. Determine the value of Y' when X is 26. (Do not round intermediate calculations. Round the final answer to 4 decimal places.)

Solutions

Expert Solution

Solution =

X Y XY X^2 Y^2
15 25 375 225 625
8 22 176 64 484
9 16 144 81 256
12 16 192 144 256
8 14 112 64 196

  

n 5
sum(XY) 999.00
sum(X) 52.00
sum(Y) 93.00
sum(X^2) 578.00
sum(Y^2) 1817.00
Numerator 159.00
Denominator 284.77
r 0.5583
r square 0.3117
Xbar(mean) 10.4000
Ybar(mean) 18.6000
SD(X) 2.7276
SD(Y) 4.1761
b 0.8548
a 9.7097

The regression equation,

b = 0.8548 , a = 0.7097

= a + bx

= 0.7097 + (0.8548)x

Answer :   = 0.7097 + (0.8548)x

Given,  

The value of Y' when X is 26

= 0.7097 + (0.8548)x

= 0.7097 + (0.8548 * 26)

= 0.7097 + 22.2248

= 22.9345

Answer : = 22.9345


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