1. Check whether the conditions for performing inference about the regression model are met. 2. What is the estimate for ß? Interpret this value
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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Residual
Predictor
Coef
Stdev.
t-ratio
P.
Constant
0.12049
0.09269
1.30
0.215
Perch
0.008569
0.002456
3.49
0.004
S = 0.1886
R-Sq
46.5%
R-Sq(adj)
42.7%
1. Check whether the conditions for performing inference about the regression model are met.
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attracts predators, which remove a higher proportion of the population than when the density of the
prey is low. One study looked at kelp perch and their common predator, the kelp bass. On each of four
occasions, the researcher set up four large circular pens on sandy ocean bottoms off the coast of
southern California. He randomly assigned young perch to 1 of 4 pens so that one pen had 10 perch,
one pen had 20 perch, one pen had 40 perch and the final pen had 60 perch. then he dropped the nets
protecting the pens, allowing bass to swarm in, and counted the number of perch killed after two hours.
A regression analysis was performed on the 16 data points using x = number of perch in pen and y =
proportion of perch killed. Here is a residual plot and a histogram of the residuals.
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Starnes & Tabor, The Practice of Statistics, 6e, © 2018
Bedford, Freeman & Worth High School Publishers
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