Suppose that a regression equation for the relationship between y = weight (pounds) and x = height (inches) for men aged 18 to 29 years old is expressed with the following formula. Average weight = −250 + 6(Height) (a) Estimate the average weight for men in this age group who are 80 inches tall. lbs (b) What is the slope of the regression line for average weight and height? Complete a sentence that interprets this slope in terms of how much average weight changes when height is increased by one inch. Average weight increases pounds for each 1-inch increase in height.
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.
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