A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, x, and x,. X1 *2 y 30| 12 94 47 10 108 25 17| 112 51 16 178 40 5 94 51 19|...

Extracted text: A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, x, and x,. X1 *2 y 30| 12 94 47 10 108 25 17| 112 51 16 178 40 5 94 51 19| 175 74 7 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for the data is P = -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.) to (b) Develop a 95% prediction interval for y when x, = 51 and x, = 16. (Round your answers to three decimal places.) to