The output shown was obtained from MINITAB. Predictor Constant x S 2.167 R-Sq 91.3%

Chapter 14, Problem 24

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The output shown was obtained from MINITAB. Predictor Constant x S 2.167 R-Sq 91.3% R-Sq(adj) 90.6% Coef 12.396 1.3962 StDev 1.381 0.1245 T 8.97 11.21 P 0.000 0.000 The regression equation is y 12.4 1.40 x (a) The least-squares regression equation is yn = 1.3962x + 12.396. What is the predicted value of y at x = 10? (b) What is the mean of y at x = 10 ? (c) The standard error, se, is 2.167. What is an estimate of the standard deviation of y at x = 10? (d) If the requirements for inference on the least-squares regression model are satisfied, what is the distribution of y at x = 10? 25.

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