In developing a 95% confidence interval for the expected value of y from a simple linear regression problem involving a sample of size 10, the appropriate table value would be 1.86.

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In developing a 95% confidence interval for the expected value of y from a simple linear regression problem, the appropriate table value would come from the t-distribution, not a fixed value like 1.86. The specific value depends on the degrees of freedom, which in the case of a sample size of 10 would be 10 - 2 = 8 (assuming a simple linear regression with one independent variable), and for a 95% confidence level, the t-value would be looked up in a t-table for 8 degrees of freedom.

In Developing a 95% Confidence Interval for the Expected Value