True or False 1) in a population regression model, we assume the errors are independent of...

True or False

1) in a population regression model, we assume the errors are independent of each other and normally distributed with constant variance

2) when we apply the ordinary least squares to estimate the slope and intercept of a linear model, the sum of all the residuals can be less than or greater than zero

3) if SSE is near zero in a regression, the statistician will conclude that the proposed model probably has too poor a fit to be useful

Solutions

Expert Solution

1] In a population regression model, we assume the errors are independent of each other and normally distributed with constant variance

Answer - These are the standard assumption of the regression model. so this statement is correct. say TRUE.

2) when we apply the ordinary least squares to estimate the slope and intercept of a linear model, the sum of all the residuals can be less than or greater than zero.

Answer- These is also one of the results in the based on the error but the sum of all the residuals are Zero these is the standard result. so this statement is incorrect. say False.

3) if SSE is near zero in a regression, the statistician will conclude that the proposed model probably has too poor a fit to be useful.

Answer- Whenever error sum of square is near to zero this model is a good model. these type of model used for prediction also.so basically those model have SSE is near to zero is a good fit. so this statement is incorrect. say False.

orchestra answered 1 year ago

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