CORRECT SUM OF SQUARES

Question 1

What is SST?

Answer 1

The sum of the squared differences between the observed values and the mean

Represents the total variation in a sample

Question 2

What is SSR?

Answer 2

The sum of the squared differences between the mean and the regression line

Represents the improvement of the model

Question 3

What is SSE?

Answer 3

The sum of the squared differences between the observed values and the regression line

Represents the variation in the data explained by the regression line

Question 4

what is the relationship between the three types of sum of squares?

Answer 4

SST = SSR + SSE
So the total variability (TSS) is the variability explained by the model (SSR) and the variability not explained by the model (SSE)

Question 5

What is the relationship between R squared and the different types of sum of squares?

Answer 5

Rsquared= SSR/SST
OR
Rsquared= 1 - (SSE/SST)

Question 6

outline the different types of abbreviation to avoid conclusion

Answer 6

SST = TSS
SSR = ESS
SSE = RSS