Significance and Limitations

Significance of Sum of Squares

The sum of squares formula can be used for various purposes and has great significance in real life such as:

  • It can be used to find the variability of data points from the mean value.
  • It helps the investors to make a good decision regarding investment by checking the variance of the stock.
  • It can also help to compare the stock price of two different companies.

Limitations of Sum of Squares

The sum of squares has the following limitations:

  • A higher dataset makes it very difficult to make decisions in real life as the graph of the data is more spread out.
  • An investor may need data of many years to make good decisions but this huge data becomes very difficult to handle.

Residual Sum of Squares

Residual Sum of Squares is one of the types of sum of squares in regression which is used to measure the dispersion of the data points. The sum of squares can also be used to calculate the variance in the values of assets in the case of accounting. If the value of the sum of squares is higher, it represents a higher variance from the mean value and vice versa. The sum of squares is generally of 3 types i.e. Total Sum of Squares, Regressive or Regression Sum of Squares, and Residual Sum of Squares. In this article, we will study majorly the types of Residual Sum of Squares. Other than this we will also discuss both other types in bried as well.

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What is Residual Sum of Squares (RSS)?

Residual sum of squares is used to calculate the variance of the data in terms of error or residuals. It is used to calculate the error left between regression data and regression function after running the model. The smaller the value of the residual sum of squares, the better the model....

Regression Sum of Squares (SSR)

The regression sum of squares measures how well the model is and how close is the predicted value to the expected value....

Total Sum of Squares (TSS)

Total sum of squares is used to denote the amount of variation in the dependent variable. The total sum of squares is the sum of the regression sum of squares and the residual sum of squares. It is calculated as:...

How to Calculate Sum of Squares?

We will discuss steps to calculate the sum of squares for both the residual method and regressive method in the following headings....

Significance and Limitations

Significance of Sum of Squares...

Solved Examples of Residual Sum of Squares

Problem 1: Calculate the sum of squares of the set X = [1,2,3,6] if the mean is found to be 3....

FAQs Of Residual Sum of Squares

Q1: What is the Practical Significance of Sum of Squares?...