Stat Case 1 Century National Banks (1)

7/21/2019 Stat Case 1 Century National Banks (1)

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SUMMARY OUTPUT

Regression Statistics

Multiple R 0.764686

R Square 0.584745

Adjusted R Square 0.554545

Standard Errr !"8.!887O#ser$atins 60 Y%&74."'"0.47(&'5".""()'&6&.0&(!')&8

A*O+A

df SS MS F ignicance F

Re,ressin 4 &))")&86 !07!046 &".!6))) 5.45E-0&0

Residual 55 87)")47 &587&!.6

Ttal 5" )&0)&4!!

Coecientsandard Err t Stat P-value

nter/ept &74."&"6 &67.05! &.0470" 0.)""6!8( +aria#le & "0.47&!) &).45)!7 7.)65!" &.!"E-00"

( +aria#le ) 5".""&57 )7.4)7)& ).&87!0& 0.0!)""

( +aria#le ! &6&.0&68 &08.4&5" &.485&77 0.&4!)07

( +aria#le 4 )&8.8!4& &&".")87 &.8)470& 0.07!47"

1 usin, re,ressin anal1sis 2e /an n2 esti3ate r prn2 te nu3#er ATM transa/tins te nu3#er

indi$idual as a de#it /ard and 2eter interest is p


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.8!(4

edi/t te a//unt #alan/es i 2eter ser$i/es used 2eter teaid n te parti/ular a//unt.


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SUMMARY OUTPUT


Multiple R 0.75!7&"

R Square 0.5680")

Adjusted R Square 0.544"54

Standard Errr 40).6548O#ser$atins 60

A*O+A


Re,ressin ! &&"4)&04 !"8070& )4.55)!" ).85E-0&0

Residual 56 "07"!)" &6)&!0."

Ttal 5" )&0)&4!!

Coecientsandard Err t Stat P-value Lower 95%!!er 95%

nter/ept ))8.6878 &64.8)"! &.!874)! 0.&708& -&0&.5048 558.8805( +aria#le & 8".784"7 &).57704 7.&!87"8 ).04E-00" 64.5"0&! &&4."7"8

( +aria#le ) 67.66!&7 )7.))485 ).485!46 0.0&5"55 &!.&)5)4 &)).)0&&

( +aria#le ! &78.!047 &&8.0!!) &.5&06!) 0.&!6505 -58.&44)6 4&4.75!8


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SUMMARY OUTPUT


Multiple R 0.74&"5&

R Square 0.5504"&

Adjusted R Square 0.5!47&"

Standard Errr 407.&577O#ser$atins 60

A*O+A


Re,ressin ) &&57)&)0 5786060 !4."0)58 &.)7E-0&0

Residual 57 "44"!&! &65777.4

Ttal 5" )&0)&4!!

Coecientsandard Err t Stat P-value Lower 95%!!er 95%

nter/ept )58.)")4 &65.4"0! &.56077& 0.&)4&&! -7!.0"6)& 58".68&&( +aria#le & "&.4!)7) &).66"77 7.)&660) &.!"E-00" 66.06&"4 &&6.80!5

( +aria#le ) 67.88!&! )7.5)8") ).465885 0.0&67 &).7574! &)!.0088


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ower 95"# !!er 95"#%

-7!.0"6)& 58".68&&66.06&"4 &&6.80!5

&).7574! &)!.0088


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Table 1

N X1 X2 X3 X4 X5 X6

& &756 &! 4 0 & )

) 748 " ) & 0 &

! &50& &0 & 0 0 &

4 &8!& &0 4 0 & !

5 &6)) &4 6 0 & 4

6 &886 &7 ! 0 & &

7 740 6 ! 0 0 !

8 &5"! &0 8 & 0 &

" &&6" 6 4 0 0 4

&0 )&)5 &8 6 0 0 )

&& &554 &) 6 & 0 !

&) &474 &) 7 & 0 &

&! &"&! 6 5 0 0 &

&4 &)&8 &0 ! & 0 &

&5 &006 &) 4 0 0 &&6 ))&5 )0 ! & 0 4

&7 &!7 7 ) 0 0 !

&8 &67 5 4 0 0 4

&" !4! 7 ) 0 0 &

)0 )557 )0 7 & 0 4

)& ))76 &5 4 & 0 !

)) &4"4 && ) 0 & &

)! )&44 &7 ! 0 0 !

)4 &""5 &0 7 0 0 )

)5 &05! 8 4 & 0 !)6 &5)6 8 4 0 & )

)7 &&)0 8 6 & 0 !

)8 &8!8 7 5 & & !

)" &746 && ) 0 0 )

!0 &6&6 &0 4 & & )

!& &"58 6 ) & 0 )

!) 6!4 ) 7 & 0 4

!! 580 4 & 0 0 &

x1 = Account balance in $

x2 = Number of ATM transactions in the monthx3 = Number of other bank services used

x4 = Has a debit card (1 = es! " = no#

x = %eceives interest on the account

X6 = &it 'here bankin is


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!4 &!)0 4 5 & 0 &

!5 &675 6 7 & 0 )

!6 78" 8 4 0 0 4

!7 &7!5 &) 7 0 & !

!8 &784 && 5 0 0 &

!" &!)6 &6 8 0 0 !

40 )05& &4 4 & 0 44& &044 7 5 & 0 &

4) &885 &0 6 & & )

4! &7"0 && 4 0 & !

44 765 4 ! 0 0 4

45 &645 6 " 0 & 4

46 !) ) 0 0 0 !

47 &)66 && 7 0 0 4

48 8"0 7 & 0 & &

4" ))04 &4 5 0 0 )

50 )40" &6 8 0 0 )5& &!!8 &4 4 & 0 )

5) )076 &) 5 & 0 )

5! &708 &! ! & 0 &

54 )&!8 &8 5 0 & 4

55 )!75 &) 4 0 0 )

56 &455 " 5 & & !

57 &487 8 4 & 0 4

58 &&)5 6 4 & 0 )

5" &"8" &) ! 0 & )

60 )&56 &4 5 & 0 )


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1) *evelo+ a ra+h or table that +ortras the checkin balances) ,hat is the balance of a t+ical

customer- *o man customers have more than $2!""" in their accounts- *oes it a++ear that there i

X6 X1

& 748

& &50&& &886

& &5"!

& &474

& &"&!

& &)&8

& &006

& !4!

& &4"4

& 580

& &!)0& &784

& &044

& 8"0

& &708

) &756

) )&)5 &. A t1pi/al /ust3er as a #

) &""5 ). Onl1 &) /ust3ers a$e #

) &5)6 !. t appears tat a//unts in

) &746

) &6&6 CI F

) &"58 :ess tan 500 4

) &675 500 - &000 7

) &885 &000 - &500 &5

) ))04 &500 - )000 ))

) )40" )000 - )500 &&

) &!!8 )500 - !000 &

) )076

) )!75 4. Te #alan/es tend t /lust

) &&)5

) &"8"

) )&56

! &8!&

! 740

! &554

! &!7

! ))76

! )&44

! &05!

0

0

500

&000

&500

)000

)500

!000

Account

Balanc

e

($)


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! &&)0

! &8!8

! &7!5

! &!)6

! &7"0

! !)

! &4554 &6))

4 &&6"

4 ))&5

4 &67

4 )557

4 6!4

4 78"

4 )05&

4 765

4 &6454 &)66

4 )&!8

4 &487

Mean = 1499.!


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unt balances tend to cluster-


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2) *etermine the mean and median of the checkin account balances) &om+are the mean and the median

&

X6 X1 ran/ &; Mean = 121.3

& 748 Me"ian = 139!.##

& &50&

& &886 ran/ ); Mean = 1!9.65& &5"! Me"ian = 195.##

& &474

& &"&! ran/ !; Mean = 1359.36

& &)&8 Me"ian = 15#4.5#

& &006

& !4! ran/ 4; Mean = 1423.46

& &4"4 Me"ian = 14!.##

& 580

& &!)0 Ttal; Mean = 1499.!

& &784 Me"ian = 16#4.5#& &044

& 8"0

& &708 ) Mean te a//unt #alan/es is

) &756

) )&)5

) &""5

) &5)6

) &746

) &6&6

) &"58

) &675

) &885

) ))04

) )40"

) &!!8

) )076

) )!75

) &&)5

) &"8"

) )&56

! &8!&

! 740

! &554

! &!7

! ))76

! )&44

! &05!

! &&)0

t 3ean and 3edian #alan/es a


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! &8!8

! &7!5

! &!)6

! &7"0

! !)

! &455

4 &6))4 &&6"

4 ))&5

4 &67

4 )557

4 6!4

4 78"

4 )05&

4 765

4 &645

4 &)664 )&!8

4 &487


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alances for the four branches) .s there a difference amon the branches- /e sure to ex+lain the differenc

4"".)7 and 3edian is &604.50

re te least r /it1 & and i,est r /it1 ).a//unt is &87".65 and te 3edianer tan te $erall a$e,aes. n all /asese di=eren/e #et2een 3ean and 3edian


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e bet'een the mean and the median in our re+ort)


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3) *etermine the rane and the standard deviation of the checkin account balances) ,hat do t

X6 X1 &

& 748 M

& &50& M

& &886& &5"! &tan"a'" (e

& &474 I

& &"&! III

& &)&8

& &006

& !4!

& &4"4

& 580

& &!)0

& &784& &044

& 8"0

& &708

) &756

) )&)5

) &""5

) &5)6

) &746

) &6&6

) &"58

) &675

) &885

) ))04

) )40"

) &!!8

) )076

) )!75

) &&)5

) &"8"

) )&56

! &8!&

! 740

! &554

! &!7

! ))76

! )&44

! &05!

! &&)0

Ran,e tTe ran

standard d


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! &8!8

! &7!5

! &!)6

! &7"0

! !)

! &455

4 &6))4 &&6"

4 ))&5

4 &67

4 )557

4 6!4

4 78"

4 )05&

4 765

4 &645

4 &)664 )&!8

4 &487


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he first and third 0uartiles sho'- *etermine the coefficient of ske'ness and indicate 'hat it sho's) /e

$i%u% = 255!.##

ini%u% = 32.##

+an,e = 2525.## )iation = 596.9#

ua'tile = 1123.!5

ua'tile = 1924.25

&-e = /#.6164

e #alan/es in te a//unts is )5)5 and te standard de$iatin is 5"6.!6.e s2s te di=eren/e #et2een te i,est and te l2est #alan/es. Te

e$iatin s2s 2 spread te data is n an a$era,e r3 te 3ean $alue.

quartile $alue &&)!.75 s2s tat te l2est )5> te #alan/es are#el2 &&)!.75. Te quartile $alue &")4.)5 s2s tat te tp )5>

te a//unt #alan/es e?/eed &")4.)5.


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cause Mr) eli does not deal 'ith statistics dail! include a brief descri+tion and inter+retation of the sta


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dard deviation and other measures)


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Stat Case 1 Century National Banks (1)

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