Question

In: Statistics and Probability

Open travel data file <문제> 1. Set 3 hypotheses (2 main hypotheses and one interaction hypothesis)...

Open travel data file <문제> 1. Set 3 hypotheses (2 main hypotheses and one interaction hypothesis) 2. Which variable(s) are significant? and Why? 3. Which pairs of group means of travel visit are different out of three pairs in tour frequency. Which statistic did you use? 4. Use graph in order to interpret how travel frequency affects travel attitude for different sex?

sex frequency attitude

1   1   2
1   1   3
1   1   4
1   1   4
1   1   2
1   2   4
1   2   5
1   2   5
1   2   3
1   2   3
1   3   8
1   3   9
1   3   8
1   3   7
1   3   7
2   1   6
2   1   7
2   1   6
2   1   5
2   1   7
2   2   3
2   2   4
2   2   5
2   2   4
2   2   5
2   3   6
2   3   6
2   3   6
2   3   7
2   3   8

Solutions

Expert Solution

1)

Hypothesis testing can be done basis:

Let's assume sex is dependent variable & travel frequency & travel attitude determine it.

a)

H0:- Person with greater travel frequency will likely be male(Sex=1) than with less travel frequency

v/s

H1:- Not H0

b)

H0:- Person with greater attitude score will likely be male (Sex=1)than with less attitude score

v/s

H1:- Not H0

c)

H0:-There is no interaction between travel frequency & travel attitude on sex of an individual

v/s

H1:- Not H0

2)

Regression Statistics
Multiple R 0.916851
R Square 0.840616
Adjusted R Square 0.797675
Standard Error 0.660932
Observations 29
ANOVA
df SS MS F Significance F
Regression 2 62.20556 31.10278 71.20089 2.83235E-11
Residual 27 11.79444 0.436831
Total 29 74
Coefficients Standard Error t Stat P-value
Intercept 0 #N/A #N/A #N/A
travel frequency 0.082406292 0.170845304 0.482344497 0.633448675
Travel attitude 0.226741302 0.065592563 3.456814203 0.001824996

We see from the table above , the p-value for travel frequency is > 0.05 hence the beta coefficent is 0 and the variable is not significant.

Sex = 0.2267* travel attitude

with 84% variation explained.(R-square value).

3)

We would use t-test to compare group means and do pair wise comparisons

4)

Travel frequency is determined by blue line and as you may se ,it is same for both the gender.

Travel attitude is however higher in male than in female.


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