### Regression Analysis with Multiple VariablesA statistical program is recommended.Consider the following data for a dependent variable \( y \) and two independent variables, \( x_1 \) and \( x_2 \):| \( x_1 \) | \( x_2 \) | \( y \) ||------- |------- |-----|| 30 | 94 | 148 || 20 | 49 | 108 || 25 | 17 | 112 || 45 | 59 | 174 || 40 | 95 | 191 || 50 | 112 | 204 || 74 | 112 | 273 || 49 | 32 | 149 || 39 | 12 | 117 || 55 | 16 | 211 |#### Task (a): Develop an Estimated Regression Equation for \( y \) Relating to \( x_1 \)(Round your numerical values to one decimal place.)\[ \hat{y} = \]**Predict \( y \) if \( x_1 = 51 \).** (Round your answer to one decimal place.)\[ \hat{y} = \]#### Task (b): Develop an Estimated Regression Equation for \( y \) Relating to \( x_2 \)(Round your numerical values to one decimal place.)\[ \hat{y} = \]**Predict \( y \) if \( x_2 = 16 \).** (Round your answer to one decimal place.)\[ \hat{y} = \]#### Task (c): Develop an Estimated Regression Equation for \( y \) Relating to \( x_1 \) and \( x_2 \)(Round your numerical values to one decimal place.)\[ \hat{y} = \]**Predict \( y \) if \( x_1 = 51 \) and \( x_2 = 16 \).** (Round your answer to one decimal place.)\[ \hat{y} = \]**Explanation of Diagram:**The table above consists of three columns: \( x_1 \), \( x_2 \), and \( y \). Each row represents an observation, denoting the values of the independent variables \( x_1 \) and \( x_2 \),

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A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, x, and x₂ 30 12 94 47 10 108 25 17 112 51 16 178 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 (a) Develop an estimated regression equation relating y to x₁- (Round your numerical values to one decimal place.) Predict y if x₂-51. (Round your answer to one decimal place.) (b) Develop an estimated regression equation relating y to x₂ (Round your numerical values to one decimal place.) Predict y if x₂-16. (Round your answer to one decimal place.) (c) Develop an estimated regression equation relating y tox, and x₂. (Round your numerical values to one decimal place.) Predict y if x₂ - 51 and x₂ 16. (Round your answer to one decimal place.)