In order to estimate with 95% confidence the expected value of y for a given value of x in a simple linear regression problem,a random sample of 10 observations is taken.Which of the following t-table values listed below would be used?
A)2.228
B)2.306
C)1.860
D)1.812

Question

Quizplus · Accepted Answer

When we use a 95% confidence level in a simple linear regression problem with 10 degrees of freedom, we use the t-distribution with 8 degrees of freedom. Looking at a t-table with 8 degrees of freedom and a confidence level of 95%, we find the critical value to be 2.306. Therefore, the best choice is B.

In Order to Estimate with 95% Confidence the Expected Value