In developing a 90% confidence interval for the average value of y from a simple linear regression problem involving 12 observations, the appropriate table value would be 1.796.

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For a 90% confidence interval in a simple linear regression with 12 observations (n=12), the degrees of freedom for the t-distribution would be n-2 = 10. The appropriate t-value should be looked up in a t-table or calculated using statistical software for 10 degrees of freedom, not directly stated as 1.796.

In Developing a 90% Confidence Interval for the Average Value