The Quantitative Environmental Learning Project reported widths and lengths (in centimeters) of a sample of 88 Puget Sound butter clams. Output is shown for the regression of length on width. Pearson correlation of Width and Length = 0.989 The regression equation is Length = 0.257 + 1.22 Width Predictor Coef SE Coef T P Constant 0.25689 0.09293 2.76 0.007 Width 1.22013 0.01940 62.89 XXXXX S = 0.3253 R-Sq = 97.9% R-Sq(adj) = 97.8% Assume the data to be a representative sample taken from the population of all Puget Sound butter clams, with b0, b1, and s as reported in the output. Which of these do we know exactly for the population? β0 β1 σ all of the above none of the above
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.
The Quantitative Environmental Learning Project reported widths and lengths (in centimeters) of a sample of 88 Puget Sound butter clams. Output is shown for the regression of length on width.
Pearson
Assume the data to be a representative sample taken from the population of all Puget Sound butter clams, with b0, b1, and s as reported in the output. Which of these do we know exactly for the population?
β0
β1
σ
all of the above
none of the above
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