Asked by CHRISTOPHER FARRELL on Jul 20, 2024

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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

T-Table Values

T-Table Values refer to a table used in statistics that shows the critical values of the t-distribution. It's used to determine the probability associated with a t-test.

Simple Linear Regression

A statistical method that examines the linear relationship between two continuous variables, one being dependent and the other independent, by fitting a linear equation to observed data.

  • Utilize regression analysis to anticipate values and calculate interval estimates corresponding to a certain confidence level.
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Verified Answer

TJ
Taylor JollyJul 23, 2024
Final Answer :
B
Explanation :
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.