Age Monthly Insurance Age Monthly Insurance (yr) (yr) Rate ($) Rate ($) 35 17.32 43 23.71 36 17.67 44 25.11 37 18.02 45 26.60 38 18.46 46 28.00 39 19.07 47 29.40 40 19.95 48 30.80 41 21.00 49 32.55 42 22.22 50 34.47
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.
Insurance Rates The following table gives the
monthly insurance rates for a $100,000 life insurance
policy for smokers 35–50 years of age.
a. Create a
b. Does it appear that a quadratic function can be
used to model the data? If so, find the best-fitting
quadratic model.
c. Find the power model that is the best fit for the data.
d. Compare the two models by graphing each model
on the same axes with the data points. Which
model appears to be the better fit?
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