Use the following to answer questions :
For a data set of 10 values of x and y,the value of = 86,the standard deviation of errors for the regression of y on x is 3.662,and the value of b is 3.00.
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 different from zero.The significance level is 5%.
-What are the critical values of t?
A)-2.306 and 2.306
B)-2.228 and 2.228
C)-1.812 and 1.812
D)-1.860 and 1.860

Question

Use the following to answer questions :
For a data set of 10 values of x and y,the value of  = 86,the standard deviation of errors for the regression of y on x is 3.662,and the value of b is 3.00.
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 different from zero.The significance level is 5%.
-What are the critical values of t?
A)-2.306 and 2.306 
B)-2.228 and 2.228 
C)-1.812 and 1.812 
D)-1.860 and 1.860

Quizplus · Accepted Answer

The critical values of t depend on the degrees of freedom and the significance level. The values -2.306 and 2.306 are commonly used critical values for a two-tailed test with a significance level of 0.05 and 20 degrees of freedom.

Use the Following to Answer Questions