Question

In: Statistics and Probability

Omnibus Tests of Model Coefficients Chi-square df Sig. Step 1 Step 53.959 5 .000 Block 53.959...

Omnibus Tests of Model Coefficients

Chi-square

df

Sig.

Step 1

Step

53.959

5

.000

Block

53.959

5

.000

Model

53.959

5

.000

Model Summary

Step

-2 Log likelihood

Cox & Snell R Square

Nagelkerke R Square

1

93.346a

.375

.519

a. Estimation terminated at iteration number 6 because parameter estimates changed by less than .001.

Classification Tablea

Observed

Predicted

EverPot

Percentage Correct

.00

1.00

Step 1

EverPot

.00

25

14

64.1

1.00

5

71

93.4

Overall Percentage

83.5

a. The cut value is .500

Variables in the Equation

B

S.E.

Wald

df

Sig.

Exp(B)

Step 1a

TimeStudy

.275

.269

1.045

1

.307

1.316

TimeExtracurrs

-.479

.241

3.963

1

.047

.619

ReligImport

-.382

.183

4.339

1

.037

.683

FriendsUse

1.258

.349

13.015

1

.000

3.517

TimeFriends

1.140

.297

14.760

1

.000

3.127

Constant

-6.823

2.007

11.559

1

.001

.001

a. Variable(s) entered on step 1: TimeStudy, TimeExtracurrs, ReligImport, FriendsUse, TimeFriends.

11. How much of the change in the dependent variable is explained by the model as a whole? How do you know?

12. Which variables significantly predict marijuana use? How do you know?

13. Are the variables that significantly predict marijuana use are in the expected direction? How do you know?

14. Which variable best predicts marijuana use? How do you know?

15. How many more times is someone whose friends use drugs and alcohol likely to use marijuana that someone whose friends do not use drugs and alcohol?

16. How much less likely is someone who spends time in extracurriculars to use marijuana than someone who does not spend time in extracurriculars?

Solutions

Expert Solution

11. How much of the change in the dependent variable is explained by the model as a whole? How do you know?

Nagelkerke R Square is 0.519, By this measure, 51.9% of change in the dependent variable is explained by the model.

12. Which variables significantly predict marijuana use? How do you know?

The significant variables are those for which p-value (Sig) is less than 0.05. Thus, the significant variables are TimeExtracurrs, ReligImport, FriendsUse and TimeFriends

13. Are the variables that significantly predict marijuana use are in the expected direction? How do you know?

Obviously, marijuana use will decrease with increase in TimeExtracurrs and ReligImport. And the estimated slope coefficients of these variable is negative.

Obviously, marijuana use will increase with increase in FriendsUse and TimeFriends. And the estimated slope coefficients of these variable is positive.

Thus, the variables that significantly predict marijuana use are in the expected direction.

14. Which variable best predicts marijuana use? How do you know?

The best variable that predicts marijuana use is TimeFriends because the Wald test statistic of this variable is maximum.

15. How many more times is someone whose friends use drugs and alcohol likely to use marijuana that someone whose friends do not use drugs and alcohol?

The coefficient of FriendsUse is 1.258. The odds of to use marijuana will increase by exp(1.258) = 3.518378

16. How much less likely is someone who spends time in extracurriculars to use marijuana than someone who does not spend time in extracurriculars?

The coefficient of TimeExtracurrs is -0.479. The odds of to use marijuana will decrease by exp(-0.479) = 0.6194025


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