In order to estimate with 95% confidence the expected value of y 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

Since we want to estimate the expected value of y with 95% confidence, this is a two-tailed test with alpha = 0.05/2 = 0.025. With a sample size of 10, we have 10-2=8 degrees of freedom. Looking at a t-table, the value closest to the one-tailed 0.025 critical value for 8 degrees of freedom is 2.306, which is provided as choice B. Therefore, we would use this value to estimate the expected value of y with 95% confidence.

In Order to Estimate with 95% Confidence the Expected Value