1. Health researchers exploring the link between smoking and death rates from coronary heart disease (CHD) in the human population gather data from 14 randomly selected countries from around the world. Below is computer output from a regression analysis of this relationship for those countries. The explanatory variable is annual consumption of cigarettes per person and the response variable is annual deaths from coronary heart disease per 100,000 people. Predictor Coef SE Coef T 65.44 22.82 2.87 0.014 Constant Cigarettes 0.02268 0.01926 1.18 0.262 S = 45.2671 R-Sq = 10.4% R-Sq (adj) = 2.9% a. Write the regression equation. Be sure to name variables appropriately.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![1. Health researchers exploring the link between smoking and deathrates from coronary heart
disease (CHD) in the human population gather data from 14 randomly selected countries from
around the world. Below is computer output from a regression analysis of this relationship
for those countries. The explanatory variable is annual consumption of cigarettes per person
and the response variable is annual deaths from coronary heart disease per 100,000 people.
Predictor
Coef
SE Coef
T
65.44
22.82
2.87
0.014
Constant
Cigarettes
0.02268
0.01926
1.18
0.262
S = 45.2671
R-Sq = 10.4%
R-Sq (adj)
= 2.9%
a. Write the regression equation. Be sure to name variables appropriately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc37155b7-a3df-4d67-b512-6e2fc5984bff%2F0c3febd0-a7e9-41a7-b65e-dadcaa7695db%2Fmeqzo9_processed.jpeg&w=3840&q=75)
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