determine which set come from the least squares regression model a
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.
You spilled water on your calculations from (a) and can't remember what your estimated regression parameters are. But you do have two possible estimated errors for each of your initial four observations:
![Individual i
1
2
3
4
Estimated errors set 1
0.5
-1.0
0.5
Estimated errors set 2 | 0.25
-0.5 0.75
1.5
One of these sets of estimated errors corresponds to those calculated from the least squares regression line. Using
only the residual sum of squares, determine which set come from the least squares regression model and justify
your choice with a one sentence explanation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e6fa833-731b-43a4-992e-8027346373b9%2Fd10195b4-c749-4ee4-b472-e837d7967fc0%2Feirhbga_processed.png&w=3840&q=75)
![Suppose that we have collected the following predictor values and response values from four individuals from the
same population:
Individual i
1 2 3
4
Response
5 3 2
4
Predictor
6 1
2 3
We want to use these four observations to find the estimated simple linear relationship of the form
Yi = Bo + B1x; + e;.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e6fa833-731b-43a4-992e-8027346373b9%2Fd10195b4-c749-4ee4-b472-e837d7967fc0%2Ftoeay8p_processed.png&w=3840&q=75)
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