3.0 2.5 2.0 1.5 + 1900 1920 1940 1960 1980 2000 Year 0.4 . 0.2 0.0 -0.2 + -0.4 + 1900 1920 1940 1960 1980 2000 Year Dependent variable is Age Difference R-squared = 75.5% s = 0.2319 Variable Coefficient Intercept 33.396 Year -0.01571 Residuals Men's Age-Women's Age
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.
Marriage Age 2010 The graph shows the ages of both
men and women at first marriage (www.census.gov).
are the two lines getting closer together?
Here’s a timeplot showing the difference in average age
sion analysis, and the associated residuals plot.a) What is the
b) Interpret the slope of this line.c) Predict the average age difference in 2015.
d) Describe reasons why you might not place much faith
in that prediction.
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