The percentage of adults who smoke in America is given below. Year America 1970 37.4 1980 33.2 1990 25.3 2000 23.1 2010 19.4 a) Write the linear regression model for A(x), representing the percentage of adult smokers in America x years since 1970. [Use your calculator OR Desmos to find the equation. Round coefficients to the nearest 100") b) What is the slope of A(x)? Explain its meaning. c) Solve A(x) = 15. Show your work. Explain the meaning of your answer. d) Suppose in 2005, there were approximately 200 million adults in America. Use your model to estimate how many were smokers. Show how you get your answer.
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.
![The percentage of adults who smoke in America is given below.
Year
America
1970
37.4
mon n
1980
33.2
1990
25.3
2000
23.1
2010
19.4
a) Write the linear regression model for A(x), representing the percentage of adult smokers in America
x years since 1970.
[Use your calculator OR Desmos to find the equation, Round coefficients to the nearest 100"]
b) What is the slope of A(x)? Explain its meaning.
c) Solve A(x) = 15. Show your work. Explain the meaning of your answer.
d) Suppose in 2005, there were approximately 200 million adults in America. Use your model to estimate
how many were smokers. Show how you get your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabe29112-c373-456d-99f5-54ece0885bec%2Ff1120f2d-46e8-4fff-8c24-cda84b5469f0%2Fuc9yyq_processed.jpeg&w=3840&q=75)
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