Question

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.)

Answer 1

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