A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, SS_xx= 89.333, and S_e= 3.44.The 90% confidence interval for y when x = 1 is ______. A)(−2.14, 9.2) B)(−2.54, 10.6) C)(−3.04, 9.92) D)(−3.14, 10.2) E)(−3.24, 10.4)

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Quizplus · Accepted Answer

The confidence interval is calculated using the formula ŷ ± t*(S_e√(1/n + (x - mean of x)²/SS_xx)). With the given values and using a t-value for 90% confidence with 4 degrees of freedom, the interval is approximately (−3.14, 10.2).

A Researcher Has Developed the Regression Equation ŷ = 2