A linear model that approximates average life-expectancy is y = 0.29t + 65.36, where y is the average life-expectancy and t is the year the person was born and t = 0 is 1950 (t is measured in years). This model has a domain −30≤t≤40−30≤t≤40. For the model y = 0.29t + 65.36, what is the slope and what does it tell you about the life-expectancy of a child in relation to the year the child was born? For the model y = 0.29t + 65.36, what is the y-intercept and what does it tell you about the life-expectancy of a child (at birth)? Using this model, predict the life-expectancy in 2000, 2010, and 2100.
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 linear model that approximates average life-expectancy is y = 0.29t + 65.36, where y is the average life-expectancy and t is the year the person was born and t = 0 is 1950 (t is measured in years). This model has a domain −30≤t≤40−30≤t≤40.
- For the model y = 0.29t + 65.36, what is the slope and what does it tell you about the life-expectancy of a child in relation to the year the child was born?
- For the model y = 0.29t + 65.36, what is the y-intercept and what does it tell you about the life-expectancy of a child (at birth)?
- Using this model, predict the life-expectancy in 2000, 2010, and 2100.
- Are the answers to the previous problem reasonable? What cautions would you give when using a mathematical model?
- According to the model, when will the life-expectancy of a child be 80, 100, and 0 ?
the slope means that each year life expectance is going up by ------ each year.
The yy intercept means that in 1950 life expectance was------ years.
The x-intercept means that life expectancy was-------- in the year -------- . Note that this answer is unrealistic.
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