solutions hw 7

solutions hw 7 - 1 W hic h o f the fo l o w ing is the c o...

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Unformatted text preview: 1 ) W hic h o f the fo l o w ing is the c o r e c t s c a t e r d ia g ra m fo r the s e d a ta ? a ) * y x 3 1 7 2 5 3 1 4 14 5 2) T he e s tim a te d re g re s io n e q ua tio n fo r the d a ta is : a ) y = 0 .1 + 1.6 x ̂ b ) * y = 0 .2 + 2 .6 x ̂ c ) y = 0 .3 + 3.6 x ̂ d ) y = 0 .4 + 4 .6 x ̂ x y b = ₁ ∑ x y − nx y ̄ 3 1 ∑ x ² − nx ² ̄ 14 4 2.6 15 9 0 .2 4 16 70 25 14 6 5 3 8 3) T he p re d ic te d v a lue o f y w he n x = 4 is : a ) 7.6 b ) 8 .6 c ) 9 .6 d ) * 1 0 .6 10 .6 4 ) T he e s tim a te d re g re s io n e q ua tio n fo r the d a ta is : a ) y = 26 .3 − 1.6 8 x ̂ b ) y = 28 .3 − 1.78 x ̂ c ) * y = 30 .3 − 1 .8 x ̂ d ) y = 32.3 − 1.9 8 x ̂ y x x y 25 2 5 0 4 25 3 75 9 20 5 10 25 30 1 30 1 16 8 128 6 4 23.2 3.8 38 3 10 3- 1.8 30 .3 30 .3 - 1.8 x 5 ) a ) * 1 9 .0 5 y = 30 .3 - 1.8 (6 ) = ̂ 19 .0 5 b ) 18 .0 5 c ) 17.0 5 d ) 16 .0 5 6 ) M e d ia C a s e Ex p e nd . S a le s B ra nd x y x y C o c a - C o la C la s ic 131.3 1,9 29 .20 25 3 0 3.9 6 17239 .6 9 P e p s i- C o la 9 2.4 1,38 4 .6 0 1279 37.0 4 8 5 37.76 D ie t C o k e 6 0 .4 8 1 .4 4 9 0 8 .5 6 36 4 8 .16 S p rite 5 .7 5 4 1.5 30 16 1.5 310 2.4 9 D r. P e p e r 4 0 .2 5 36 .9 215 8 3.38 16 16 .0 4 M o unta in D e w 29 5 35 .6 15 32.4 8 4 1 7- U p 1 .6 219 .5 25 4 6 .2 134 .5 6 6 0 .0 8 5 7 8 5 1.24 29 5 0 0 73 35 1 9 .7 T he e s tim a te d re g re s io n e q ua tio n fo r the d a ta is : a ) * b ) c ) d ) 1 4 .4 2- 1 5 .4 2 b = ₁ ∑ x y − nx y ̄ y = - 15 .4 2 + 14 .4 2x ̂ ∑ x ² − nx ² ̄ 7) T he m o d e l in the p re v io us q ue s tio n p re d ic ts tha t if m e d ia e x p e nd iture is $ 70 m il io n, the n a ) to ta l s a le s w o uld b e a b o ut 9 5 4 b ) to ta l s a le s w o uld b e a b o ut 9 74 c ) * t o t a l s a le s w o u ld b e a b o u t 9 4 . y = - 15 .4 2 + 14 .4 2(70 ) = ̂ 9 3.9 8 d ) to ta l s a le s w o uld b e a b o ut 1,0 14 . 8 ) P e rc e nta g e A irline o n T im e C o m p la ints S o uthw e s t 8 1.8 0 .21 C o ntine nta l 76 .6 0 .5 8 N o rthw e s t 76 .6 0 .8 5 U S A irw a y s 75 .7 0 .6 8 U nite d 73.8 0 .74 A m e ric a n 72.2 0 .9 3 D e lta 71.2 0 .72 A m e ric a W e s t 70 .8 1.2 T W A 6 8 .5 1.25 a ) b ) * c ) d ) P e rc e nta g e o n T im e C o m p la ints x y x y 8 1.8 0 .21 17.178 6 9 1.24 76 .6 0 .5 8 4 .4 28 5 8 6 7.5 6 76 .6 0 .8 5 6 5 .1 5 8 6 7.5 6 75 .7 0 .6 8 5 1.4 76 5 730 .4 9 73.8 0 .74 5 4 .6 12 5 4 6 .4 72.2 0 .9 3 6 7.14 6 5 212.8 4 71.2 0 .72 5 1.26 4 5 0 6 9 .4 70 .8 1.2 8 6 .376 5 0 12.6 4 6 8 .5 1.25 8 5 .6 25 4 6 9 2.25 74 .13 3 0 .79 78 5 23.215 4 9 5 9 0 .4 6- 0 .0 7 6 .0 2 y = 6 .0 2 - 0 .0 7x ̂ 9 ) a ) 0 .9 b ) 0 .8 c ) 0 .6 x = 8 0 d ) * 0 .4 0 .4 9 d G iv e n a re fiv e o b s e rv a tio ns fo r tw o v a ria b le s , x a nd y . D ata are from problem (1) 1 0 ) T he S E fo r the m o d e l is : a ) 14 .4 b ) 13.4 c ) * 1 2 .4 S E = ∑ (y − y ) ² = ̂ 12.4 d ) 1 .4 0 .2 2.6 y x 3 1 2.8 25 27.0 4 0 .0 4 7 2 5 .4 1 6 .76 2.5 6 5 3 8 9 0 .0 9 1 4 10 .6 9 6 .76 0 .16 14 5 13.2 36 27.0 427....
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This document was uploaded on 10/27/2011 for the course ECON-E 270 at Indiana.

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