In the regression equation, ŷ=2.164+1.3657x and n=6, the mean of x is 8.667, SS_xx=89.333 and S_e=3.44.A 95% prediction interval for y when x=8 is _________ A)(9.13, 17.05) B)(2.75, 23.43) C)(10.31, 15.86) D)(3.56, 22.62) E)(12.09, 14.09)

Question

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The prediction interval for y when x=8 can be calculated using the formula for a prediction interval in regression analysis. Given the regression equation, the mean of x, the sum of squares, and the number of observations, the correct interval accounts for the variability in the residuals and the specific value of x. Choice B provides a range that is consistent with the calculation of a prediction interval in this context, considering the given data and the variability around the predicted value.

In the Regression Equation, ŷ=2