QUESTION 17 The following results are from data concerning the amount withdrawn
ID: 3226119 • Letter: Q
Question
QUESTION 17
The following results are from data concerning the amount withdrawn from an ATM machine based on the amount of time spent at the ATM machine (SECONDS) and the gender, FEMALE (dummy variable = 1 for females and = 0 for males) and an interaction term, SECONDS*FEMALE
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.503
R Square
Adjusted R Square
Standard Error
Observations
50
ANOVA
df
SS
MS
F
Significance F
Regression
2728.7
5.19
0.004
Residual
24161.8
525.3
Total
32348
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
133.6
23.51
5.89
0
91.03
185.67
Seconds
-2.07
0.677
0.002
-3.401
-0.839
Female
-74.3
31
-2.26
-137.33
-8.07
Seconds*Female
2.4
0.87
2.8
0.007
0.67
Based on the regression results, if a male and female each spend the same amount of time at the ATM matchine (say 35 seconds), how much more (or less) will a male withdraw? (if a male withdraws more then your answer should be a positive number and if a male withdraws less then your answer should be a negative number? (please express your answer using 1 decimal places) MUST SHOW ALL WORK AND CALCULATIONS
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.503
R Square
Adjusted R Square
Standard Error
Observations
50
ANOVA
df
SS
MS
F
Significance F
Regression
2728.7
5.19
0.004
Residual
24161.8
525.3
Total
32348
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
133.6
23.51
5.89
0
91.03
185.67
Seconds
-2.07
0.677
0.002
-3.401
-0.839
Female
-74.3
31
-2.26
-137.33
-8.07
Seconds*Female
2.4
0.87
2.8
0.007
0.67
Explanation / Answer
Amount withdrawn by the male = 133.6 - (2.07*35) = 61.2
Amount withdrawn by the female = 133.6 - (2.07*35) - 74.3 + (2.4*35) = 70.9.
Thus males withdraw less by -9.7.
Thanks.
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