- Sparrowhawk colonies. One of nature's patterns connects the percent of adult birds in a colony that return from the previous year and the number of new adults that join the colony. Here are data for 13 colonies of sparrowhawks:" 74 66 81 52 73 62 52 45 62 46 60 46 38 5 6 8 11 12 15 16 17 18 Percent return x New adults y 18 19 20 20 You saw in Exercise 4.28 that there is a moderately strong linear relationship, with correlation r = -0.748. SPARROWHAWKS (a) Find the least-squares regression line for predicting y from x. Make a scatterplot and draw your line on the plot. (b) Explain in words what the slope of the regression line tells us. (c) An ecologist uses the line, based on 13 colonies, to predict how many new birds will join another colony, to which 60% of the adults from the previous year return. What is the prediction?
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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