The statistical model for simple linear regression is written as ,where represents the mean of a Normally distributed response variable and x represents the explanatory variable.The parameters and are estimated,giving the linear regression model defined by ,with standard deviation $\sigma$ = 5. What is the distribution of the test statistic used to test the null hypothesis against the alternative hypothesis ? (Note: Assume n is the sample size. )
A)N(0,1)
B)N(0,2)
C)t(n - 1)
D)t(n - 2)

Question

The statistical model for simple linear regression is written as  ,where  represents the mean of a Normally distributed response variable and x represents the explanatory variable.The parameters  and  are estimated,giving the linear regression model defined by  ,with standard deviation $\sigma$ = 5. What is the distribution of the test statistic used to test the null hypothesis  against the alternative hypothesis  ? (Note: Assume n is the sample size. )
A)N(0,1) 
B)N(0,2) 
C)t(n - 1) 
D)t(n - 2)

Quizplus · Accepted Answer

The Answer of The statistical model for simple linear regression is written as  ,where  represents the mean of a Normally distributed response variable and x represents the explanatory variable.The parameters  and  are estimated,giving the linear regression model defined by  ,with standard deviation $\sigma$ = 5. What is the distribution of the test statistic used to test the null hypothesis  against the alternative hypothesis  ? (Note: Assume n is the sample size. )
A)N(0,1) 
B)N(0,2) 
C)t(n - 1) 
D)t(n - 2)

The Statistical Model for Simple Linear Regression Is Written as σ\sigmaσ

The Statistical Model for Simple Linear Regression Is Written as $\sigma$