The statistical model for simple linear regression has the form ,i = 1,2,…,n.Which of the following statements about this statistical model is/are TRUE? A)The are assumed to be Normally distributed with a mean of 0 and a standard deviation of $\sigma$. B)The parameters of this model are , ,and $\sigma$. C) is the mean response when . D)The ,i = 1,2,…,n are independent. E)All of the above are true.

Question

Quizplus · Accepted Answer

A) This is true, as the residuals in a simple linear regression model are assumed to be Normally distributed with a mean of 0 and a standard deviation of σ. B) This is also true, as the parameters in a simple linear regression model are the slope (β1), intercept (β0), and standard deviation (σ) of the error term. C) This is true, as represents the value of the response variable (Y) when the predictor variable (X) takes on a particular value. D) This is true, as the assumption of independence is necessary for the estimation of the regression parameters to be valid. Therefore, all of the above statements are true.

The Statistical Model for Simple Linear Regression Has the Form σ\sigmaσ

The Statistical Model for Simple Linear Regression Has the Form $\sigma$