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A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, X and x. x1 30 47

A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, X and x. x1 30 47 25 51 x2 y 12 94 10 108 59 17 112 16 178 40 5 94 51 19 + 74 7 36 12 117 76 16 175 13 142 to 170 to The estimated regression equation for the data is = -18.4 +2.01x + 4.74x2. (a) Develop a 95% confidence interval for the mean value of y when x = 51 and x = 16. (Round your answers to three decimal places.) 211 (b) Develop a 95% prediction interval for y when x = 51 and x = 16. (Round your answers to three decimal places.) R

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