A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x). The results of the regression were: ˆyy^=a+bx a=-1.778 b=0.143 (d) If the life expectancy is increased by 5 years in a certain country, how much will the happiness index change? Round to two decimal places. (e) Use the regression line to predict the happiness index of a country with a life expectancy of 94 years. Round to two decimal places.
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.
A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).
The results of the regression were:
ˆyy^=a+bx
a=-1.778
b=0.143
(d) If the life expectancy is increased by 5 years in a certain country, how much will the happiness index change? Round to two decimal places.
(e) Use the regression line to predict the happiness index of a country with a life expectancy of 94 years. Round to two decimal places.
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