In the regression equation,y=2.164+1.3657x n=6,the mean of x is 8.667,S_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)

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Quizplus · Accepted Answer

The prediction interval is calculated using the formula: ŷ ± t* * S_e * sqrt(1 + 1/n + (x - x̄)²/S_xx). Using the given values, the interval is approximately (2.75, 23.43).

In the Regression Equation,y=2