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QUESTION 17 The following results are from data concerning the amount withdrawn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The following results are from data concerning the amount withdrawn from an ATM machine based on the amount of time spent at the ATM machine (SECONDS) and the gender, FEMALE (dummy variable = 1 for females and = 0 for males)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Amount withdrawn by the male = 133.6 - (2.07*35) = 61.2

Amount withdrawn by the female = 133.6 - (2.07*35) - 74.3 + (2.4*35) = 70.9.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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