Use the following to answer questions :
For a data set of 8 values of x and y,the value of = 180,the standard deviation of errors for the regression of y on x is 9.237,and the value of b is -6.28.
For the purpose of running a hypothesis test,the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero.The significance level is 1%.
-What is the critical value of t?
A)-2.896
B)-2.998
C)-3.499
D)-3.143

Question

Use the following to answer questions :
For a data set of 8 values of x and y,the value of  = 180,the standard deviation of errors for the regression of y on x is 9.237,and the value of b is -6.28.
For the purpose of running a hypothesis test,the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero.The significance level is 1%.
-What is the critical value of t?
A)-2.896 
B)-2.998 
C)-3.499 
D)-3.143

Quizplus · Accepted Answer

The critical value of t depends on the degrees of freedom and the significance level. Without additional context, D is a plausible choice as it is a common critical value for certain degrees of freedom and significance levels.

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