For Regression The coefficient of thermal expansion, a ,of steel is given at discrete values of...

  

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For Regression The coefficient of thermal expansion, a ,of steel is given at discrete values of temperature in Table 1. The data is regressed to a second order polynomial. a = k₁ +k₂T+k₁ T² Find the constants k, and k₂ and k, of the regression model. Table 1 Coefficient of thermal expansion versus temperature for steel. Temperature, T °F 80 60 40 20 0 -20 -40 -60 -80 -100 -120 -140 -160 -180 -200 -220 -240 -260 -280 -300 -320 -340 Coefficient of thermal expansion, a in/inᵒF 6.470x10 6.360x10 6.240x106 6.120x10 6.000x106 5.860x10-6 5.720x10 5.580x10 5.430x10 5.280x106 5.090×10-6 4.910x106 4.720x10 4.520x106 4.300x106 4.080x106 3.830x106 3.580x106 3.330x106 3.070x106 2.760x106 2.450x106 -6 -6 -6 For Regression The coefficient of thermal expansion, a ,of steel is given at discrete values of temperature in Table 1. The data is regressed to a second order polynomial. a = k₁ +k₂T+k₁ T² Find the constants k, and k₂ and k, of the regression model. Table 1 Coefficient of thermal expansion versus temperature for steel. Temperature, T °F 80 60 40 20 0 -20 -40 -60 -80 -100 -120 -140 -160 -180 -200 -220 -240 -260 -280 -300 -320 -340 Coefficient of thermal expansion, a in/inᵒF 6.470x10 6.360x10 6.240x106 6.120x10 6.000x106 5.860x10-6 5.720x10 5.580x10 5.430x10 5.280x106 5.090×10-6 4.910x106 4.720x10 4.520x106 4.300x106 4.080x106 3.830x106 3.580x106 3.330x106 3.070x106 2.760x106 2.450x106 -6 -6 -6