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Regression

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									Balance Atm Transations
 1,756.00             13    Hypothesis:
   748.00               9
 1,501.00             10    Ho: There is no correlation between the number of ATM transactions a
 1,831.00             10    Ha: There is a correlation between the number of ATM transactions and
 1,622.00             14
 1,886.00             17    Two-tailed t- test for observed correlation coefficient; Degrees of freed
   740.00               6   Critical t- score = 2.0017
 1,593.00             10
 1,169.00               6   Rejection Rule: Reject Ho if t- score for the sample > t- critical (= 2.0017
 2,125.00             18
 1,554.00             12    t = [^DOF
 1,474.00             12    t = [0.7089 / (1 - 0.7089^2)] * 58 = 7.6545
 1,913.00               6
 1,218.00             10    Since 7.6545 > 2.0017, we reject Ho and accept Ha.
 1,006.00             12
 2,215.00             20    Conclusion: There is a significant correlation between the number of A
   137.00               7
   167.00               5
   343.00               7
 2,557.00             20
 2,276.00             15
 1,494.00             11
 2,144.00             17
 1,995.00             10
 1,053.00               8
 1,526.00               8
 1,120.00               8
 1,838.00               7
 1,746.00             11
 1,616.00             10
 1,958.00               6
   634.00               2
   580.00               4
 1,320.00               4
 1,675.00               6
   789.00               8
 1,735.00             12
 1,784.00             11
 1,326.00             16
 2,051.00             14
 1,044.00               7
 1,885.00             10
 1,790.00             11
   765.00               4
 1,645.00               6
   32.00    2
1,266.00   11
  890.00    7
2,204.00   14
2,409.00   16
1,338.00   14
2,076.00   12
1,708.00   13
2,138.00   18
2,375.00   12
1,455.00    9
1,487.00    8
1,125.00    6
1,989.00   12
2,156.00   14
ber of ATM transactions and the balance in the account, that is β = 0
er of ATM transactions and the balance in the account, that is β  0

efficient; Degrees of freedom, DOF = N - 2 = 60 - 2 = 58; Let a = 0.05



mple > t- critical (= 2.0017)




between the number of ATM transactions and the balance in the account.
SUMMARY OUTPUT

        Regression Statistics
Multiple R ()         0.708900043
R Square                 0.50253927
Adjusted R Square      0.493962361
Standard Error         424.6162033
Observations                     60

ANOVA
                            df            SS          MS            F      Significance F
Regression                        1    10564095.57 10564095.57 58.59211781   2.32742E-10
Residual                         58    10457337.37 180298.9201
Total                            59    21021432.93

                        Coefficients Standard Error    t Stat     P-value     Lower 95%
Intercept               485.2097495      143.443696 3.382579807 0.001291648   198.0759976
ATM Transactions         98.5103803     12.86952144 7.654548831 2.32742E-10   72.74923443




RESIDUAL OUTPUT

    Observation         Predicted Y    Residuals
                    1   1765.844693     -9.84469349
                    2   1371.803172   -623.8031723
                    3   1470.313553    30.68644742
                    4   1470.313553    360.6864474
                    5   1864.355074   -242.3550738
                    6   2159.886215   -273.8862147
                    7   1076.272031   -336.2720314
                    8   1470.313553    122.6864474
                    9   1076.272031    92.72796864
                   10   2258.396595     -133.396595
                   11   1667.334313   -113.3343132
                   12   1667.334313   -193.3343132
                   13   1076.272031    836.7279686
                   14   1470.313553   -252.3135526
                   15   1667.334313   -661.3343132
                   16   2455.417356   -240.4173556
                   17   1174.782412   -1037.782412
                   18   977.7616511   -810.7616511
                   19   1174.782412   -831.7824117
                   20   2455.417356    101.5826444
                   21   1962.865454    313.1345459
                   22   1568.823933   -74.82393288
23   2159.886215   -15.88621471
24   1470.313553    524.6864474
25   1273.292792    -220.292792
26   1273.292792     252.707208
27   1273.292792    -153.292792
28   1174.782412    663.2175883
29   1568.823933    177.1760671
30   1470.313553    145.6864474
31   1076.272031    881.7279686
32   682.2305101   -48.23051014
33   879.2512707   -299.2512707
34   879.2512707    440.7487293
35   1076.272031    598.7279686
36   1273.292792    -484.292792
37   1667.334313    67.66568681
38   1568.823933    215.1760671
39   2061.375834   -735.3758344
40   1864.355074    186.6449262
41   1174.782412   -130.7824117
42   1470.313553    414.6864474
43   1568.823933    221.1760671
44   879.2512707   -114.2512707
45   1076.272031    568.7279686
46   682.2305101   -650.2305101
47   1568.823933   -302.8239329
48   1174.782412   -284.7824117
49   1864.355074    339.6449262
50   2061.375834    347.6241656
51   1864.355074   -526.3550738
52   1667.334313    408.6656868
53   1765.844693   -57.84469349
54   2258.396595    -120.396595
55   1667.334313    707.6656868
56   1371.803172    83.19682773
57   1273.292792     213.707208
58   1076.272031    48.72796864
59   1667.334313    321.6656868
60   1864.355074    291.6449262
Upper 95% Lower 95.0% Upper 95.0%
772.3435015 198.0759976 772.3435015
124.2715262 72.74923443 124.2715262

								
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