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the line of regression passes through points bearing how many no. On both sides?
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Line of Regression Passing Through Points
Introduction: In statistics, regression analysis involves the study of the relationship between two variables. The line of regression is a straight line that best fits the data on a scatter plot. It is also called the line of best fit or trend line. The line of regression passes through points bearing certain numbers on both sides.
Definition of Line of Regression
The line of regression is defined as the straight line that best fits the data on a scatter plot. It is used to predict the value of one variable based on the value of another variable. The line of regression is calculated using regression analysis.
Points Bearing on the Line of Regression
The line of regression passes through points bearing certain numbers on both sides. These points are:
- The mean of the independent variable (X) and the mean of the dependent variable (Y) - These points represent the center of the data.
- The point where the line of regression intersects the Y-axis - This point represents the value of Y when X is equal to zero.
- The point where the line of regression intersects the X-axis - This point represents the value of X when Y is equal to zero.
Explanation of Points Bearing on the Line of Regression
The mean of the independent variable (X) and the mean of the dependent variable (Y) are the center of the data. The line of regression passes through these points because they represent the average values of X and Y. The line of regression is drawn in such a way that the sum of the squared distances between the line and each data point is minimized. This means that the line of regression is the best fit for the data.
The point where the line of regression intersects the Y-axis represents the value of Y when X is equal to zero. This point is also known as the Y-intercept. The Y-intercept is the point where the line crosses the Y-axis. It is calculated by finding the value of Y when X is equal to zero.
The point where the line of regression intersects the X-axis represents the value of X when Y is equal to zero. This point is also known as the X-intercept. The X-intercept is the point where the line crosses the X-axis. It is calculated by finding the value of X when Y is equal to zero.
Conclusion
In conclusion, the line of regression is a straight line that best fits the data on a scatter plot. It passes through points bearing certain numbers on both sides. These points are the mean of the independent variable (X) and the mean of the dependent variable (Y), the Y-intercept, and the X-intercept. The line of regression is used to predict the value of one variable based on the value of another variable.
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?the line of regression passes through points bearing how many no. On both sides?
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?the line of regression passes through points bearing how many no. On both sides? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about ?the line of regression passes through points bearing how many no. On both sides? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?the line of regression passes through points bearing how many no. On both sides?.
?the line of regression passes through points bearing how many no. On both sides? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about ?the line of regression passes through points bearing how many no. On both sides? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?the line of regression passes through points bearing how many no. On both sides?.
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