Ownership Age PE NoCat 13 Yes Cat 14 Yes NoCat 14 Yes Cat 19 Yes Cat 16 Yes Cat 13 Yes NoCat 12 Yes Cat 15 No Cat 18 Yes Cat 16 Yes Cat 17 Yes Cat 18 Yes Cat 16 No Cat 13 Yes NoCat 16 Yes Cat 12 Yes NoCat 11 No Cat 10 Yes Cat 13 Yes NoCat 14 No Cat 18 No NoCat 15 No NoCat 14 Yes Cat 16 Yes NoCat 12 No Cat 12 Yes Cat 17 Yes Cat 15 Yes Cat 14 Yes Cat 13 No Cat 17 Yes Cat 14 No Cat 14 Yes Cat 15 Yes Cat 17 No NoCat 18 Yes NoCat 13 Yes Cat 14 No Cat 14 Yes NoCat 15 Yes Cat 14 Yes Cat 16 Yes Cat 14 Yes NoCat 16 No NoCat 12 No NoCat 14 No NoCat 15 No NoCat 19 No NoCat 15 Yes NoCat 15 No Cat 11 No Cat 19 Yes NoCat 15 Yes The data contains the following variables: OwnershipCat ownership by mother in pregnancy (Cat/NoCat) Age Age of the child (years) PEThe child has experienced psychotic episodes (Yes/No) A study investigates whether cat ownership by mothers during pregnancy is associated with their children experiencing psychotic episodes. The study uses data from a hospital database. The data includes children aged from 10 to 19 years. The study uses a logistic regression model to estimate the probability of a child experiencing a psychotic episode. The model uses the age of the child and cat ownership by their mothers during the pregnancy as predictors. The coefficient estimate for the variable Age in this model is -0.8179 0.0218 0.0568 1.1111 Question 11 Based on the estimated model in Question 10, the margin of error in a 95% confidence interval for the population Age coefficient is 0.1439 0.2367 0.2820 0.6082 Question 12 Based on the model in Question 10, the estimated probability of experiencing a psychotic episode for a 13-year-old child whose mother owned cats during the pregnancy is 0.3062 0.4801 0.7372 2.8056 Question 13 Based on the model in Question 10, the estimated odds ratio of experiencing a psychotic episode between a 16-year-old child and a 13-year-old child whose mothers did not own cats during the pregnancies is 0.170 0.780 1.186 1.584

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Related questions
Question

Ownership

Age

PE

NoCat

13

Yes

Cat

14

Yes

NoCat

14

Yes

Cat

19

Yes

Cat

16

Yes

Cat

13

Yes

NoCat

12

Yes

Cat

15

No

Cat

18

Yes

Cat

16

Yes

Cat

17

Yes

Cat

18

Yes

Cat

16

No

Cat

13

Yes

NoCat

16

Yes

Cat

12

Yes

NoCat

11

No

Cat

10

Yes

Cat

13

Yes

NoCat

14

No

Cat

18

No

NoCat

15

No

NoCat

14

Yes

Cat

16

Yes

NoCat

12

No

Cat

12

Yes

Cat

17

Yes

Cat

15

Yes

Cat

14

Yes

Cat

13

No

Cat

17

Yes

Cat

14

No

Cat

14

Yes

Cat

15

Yes

Cat

17

No

NoCat

18

Yes

NoCat

13

Yes

Cat

14

No

Cat

14

Yes

NoCat

15

Yes

Cat

14

Yes

Cat

16

Yes

Cat

14

Yes

NoCat

16

No

NoCat

12

No

NoCat

14

No

NoCat

15

No

NoCat

19

No

NoCat

15

Yes

NoCat

15

No

Cat

11

No

Cat

19

Yes

NoCat

15

Yes

The data contains the following variables:

OwnershipCat ownership by mother in pregnancy (Cat/NoCat)

Age Age of the child (years)

PEThe child has experienced psychotic episodes (Yes/No)

A study investigates whether cat ownership by mothers during pregnancy is associated with their children experiencing psychotic episodes. The study uses data from a hospital database. The data includes children aged from 10 to 19 years.

The study uses a logistic regression model to estimate the probability of a child experiencing a psychotic episode. The model uses the age of the child and cat ownership by their mothers during the pregnancy as predictors. The coefficient estimate for the variable Age in this model is

-0.8179

0.0218

0.0568

1.1111

Question 11

Based on the estimated model in Question 10, the margin of error in a 95% confidence interval for the population Age coefficient is

0.1439

0.2367

0.2820

0.6082

Question 12

Based on the model in Question 10, the estimated probability of experiencing a psychotic episode for a 13-year-old child whose mother owned cats during the pregnancy is

0.3062

0.4801

0.7372

2.8056

Question 13

Based on the model in Question 10, the estimated odds ratio of experiencing a psychotic episode between a 16-year-old child and a 13-year-old child whose mothers did not own cats during the pregnancies is

0.170

0.780

1.186

1.584

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