The following table shows the average life expectancy, in years, of a child born in the given year.† Year Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 (a) Find the equation of the regression line. (Let E be the life expectancy in years and t the number of years since 2005. Round regression line parameters to two decimal places.) E(t) = (c) Explain in practical terms the meaning of the slope of the regression line. (Round your answer to two decimal places.) For each increase of 1 in the year of birth the life expectancy increases by year. (d) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2016? (Round your answer to one decimal place.) yr(e) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1550? (Round your answer to one decimal place.) yrWhat do you predict as the life expectancy of a child born in 2400? (Round your answer to one decimal places.) yr
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 following table shows the average life expectancy, in years, of a child born in the given year.†
| Year | Life expectancy |
|---|---|
| 2005 | 77.6 |
| 2007 | 78.1 |
| 2009 | 78.5 |
| 2011 | 78.7 |
| 2013 | 78.8 |
(d) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2016? (Round your answer to one decimal place.)
yr
(e) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1550? (Round your answer to one decimal place.)
yr
What do you predict as the life expectancy of a child born in 2400? (Round your answer to one decimal places.)
yr
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