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which statement is correct? group of answer choices the mean of the residuals from least-squares regression is 0. the square of the correlation is the slope of the least-squares regression line. the square of the correlation is the proportion of the data lying on the least-squares regression line. the correlation r is the slope of the least-squares regression line.



Answer :

The correct statement is "the mean of the residuals from least-squares regression is 0".

In order to calculate the mean value we have to adding all numbers in the data set and then dividing by the number of values in the set.

Here we need to find the correct statement from the given statement.

In order to find the correct statement we must know the definition of least-squares regression.

In statistics, the term least-squares regression is defined as  the line that makes the vertical distance from the data points to the regression line as small as possible.

Consider that If the data shows a leaner relationship between two variables, then the line that best fits this linear relationship is known as a least-squares regression line, it mean this minimizes the vertical distance from the data points to the regression line.

Based on the definition, we have identified the option (a) is correct.

To know more about Regression here.

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