You are studying the effects of smoking by pregnant women on rates of asthma in theirchildren. You collect data on the number of cigarettes smoked per day and whether or not thechild developed asthma by the age of two. The data is below:Smoked 1-5 cigarettes per day --- 9.2% developed asthmaSmoked 6-10 cigarettes per day --- 10.3% developed asthmaSmoked 11-20 cigarettes per day -- 25% developed asthmaSmoked 21-40 cigarettes per day --- 34.8% developed asthmaSmoked 41-60 cigarettes per day --- 38.4% developed asthmaIn order to study the relationship between the number of cigarettes smoked by pregnant women per day and thepercentage of their children developed asthma by the age of two using statistical knowledge, we convert the abovedata into the following format and see if we can obtain an adequate fit using linear regression.Average number of cigarettes smoked per day 3 8Percentage of children developed asthmaWhat is the value of the correlation coefficient?Г15-5 30.5 50.59.2% 10.3% 25% 34.8% 38.4%(Round your answer to 4 decimal places.)Assume that the best-fit line of the above data set is a good model for the study. For expectant mothers who smoke 11cigarettes per day, what is the expected percentage of children who will develop asthma by the age of two.percent (Round your answer to 1 decimal place.)

Answered: What is the value of the correlation…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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You are studying the effects of smoking by pregnant women on rates of asthma in their
children. You collect data on the number of cigarettes smoked per day and whether or not the
child developed asthma by the age of two. The data is below:
Smoked 1-5 cigarettes per day --- 9.2% developed asthma
Smoked 6-10 cigarettes per day --- 10.3% developed asthma
Smoked 11-20 cigarettes per day -- 25% developed asthma
Smoked 21-40 cigarettes per day --- 34.8% developed asthma
Smoked 41-60 cigarettes per day --- 38.4% developed asthma
In order to study the relationship between the number of cigarettes smoked by pregnant women per day and the
percentage of their children developed asthma by the age of two using statistical knowledge, we convert the above
data into the following format and see if we can obtain an adequate fit using linear regression.
Average number of cigarettes smoked per day 3 8
Percentage of children developed asthma
What is the value of the correlation coefficient?
Г
15-5 30.5 50.5
9.2% 10.3% 25% 34.8% 38.4%
(Round your answer to 4 decimal places.)
Assume that the best-fit line of the above data set is a good model for the study. For expectant mothers who smoke 11
cigarettes per day, what is the expected percentage of children who will develop asthma by the age of two.
percent (Round your answer to 1 decimal place.)

Expert Solution

Step 1: Introduce the concept of correlation coefficient.

The correlation coefficient is a statistical concept that represents the linear interdependence of two variables or sets of data. If the correlation coefficient value is positive, then there is a similar and identical relation between the two variables. If it’s negative, it indicates the dissimilarity between the two variables.

In simple words, correlation coefficient is a term for a number that tells us how closely related two things are.

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