The Statistical Model for Simple Linear Regression Is Written as

question 19

Multiple Choice

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  = 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)

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