Logistic Regression Problem Set Mathematics & Economics Math Problem (Math Problem Sample)

Students Name
Pofessors Name
Course
Date
PHDN 605
1 A study was conducted to determine if dog ownership was associated to whether its male owner was alive 12 months after experiencing a myocardial infarction. The data is available in Dog_MI.sav.
* Conduct the appropriate descriptive statistics.
dog_owner * status Crosstabulation

Count


status

Total


alive

dead


dog_owner

no do not own dog

28

11

39


yes own Logistic Regression Problem Set
dog

50

3

53

Total

78

14

92

Chi-Square Tests


Value

df

Asymptotic Significance (2-sided)

Exact Sig. (2-sided)

Exact Sig. (1-sided)

Pearson Chi-Square

8.851a

1

.003



Continuity Correctionb

7.190

1

.007



Likelihood Ratio

9.011

1

.003



Fisher's Exact Test




.006

.004

Linear-by-Linear Association

8.755

1

.003



N of Valid Cases

92





a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 5.93.

b. Computed only for a 2x2 table

The cross tabs and the bar plot indicates that less dogs are woned by the owners ,a2 months after the male owner has died from mayocardial infraction.
* Do the variables meet the assumptions for Logistic Regression?
Yes, the variables meet the assumptions of logistic regression. Logistic regression can handle ordinal and nominal data as independent variables. The independent variables do not need to be metric (interval or ratio scaled). The variables for dog ownership and the survival of the owner are both categorical.
* What is null hypothesis? What is the alternative hypothesis?
The null hypothesis is that dog ownership is not associated with the survival status of the owner. This can be stated that the parmeter for the effect og the owner’s survival status is equal to zero. H0: β=0
* How is status coded?
The survivail stauts is coded as 0: for the dog owner being alive and 1; if the dog owner is dead.