Question

Prepare an ANOVA table for the T-cp data form Homework 4, where you fit these data to a polynomial expression of the form: cp- A+BT+CT 2. Cp [J/mol/K] 38.0755.35 67.32 76.44 92.3 98.49 98.95 124.77 148.66 169.28 50 100 150 200 273.15 298.15 300 400500600 CP J/molK 187.02 202.38 215.73 00 800 900 IKI

Answer 1

The analysis have been done using R codes.

The codes and output are given

R RGui (32-bit) [Untitled-R Editor] R File Edit Packages Windows Help y c (38.07,55.35, 67.32,76.44,92.3,98.49,98.95, 124.77,148.66,169.28,187.02,202.38,215.73) x-c (50,100,150,200,273.15,298.15, 300, 400, 500, 600, 700, 800,900) summary ( 1m (y-poly(x, 2 )))#fitting a degree 2 polynomial regression#l anova (lm (y-poly (x, 2)))

anova (1m (y poly (x,2))) Analysis。f Variance Table Response: y poly (x, 2) 2 40865 20432.5 2872.11.585e-14 Df Sum Sq Mean Sq F value Pr >E Residuals 10 71 7.1 signif. codes : 0 ' , 0.001 '**, 0.01 '*, 0.05 、., o. y-c (38.07,55.35, 67.32,76.44,92.3,98.49,98.95,124.77,148.66, 169.28,187.02,202.38,215.73) x-c (50,100,150, 200,273.15,298.15,300,400, 500, 600,700,800,900) summary (1m (y-poly(x,2))) Call: Inn (formula -y ~ poly (x, 2)) Residuals: -3.2375 -2.3614 -0.0653 2.3370 3.4874 Coefficients: 30 Min 1Q Median Max Estimate Std. Error t value Pr >ItI) Intercept) 121.1354 poly (x, 2)1 201.5553 poly (x, 2)2 -15.508.1 0.7398 163.751 < 2e-16 2.6672 75.567 4.02e-15 2.6672 -5.814 0.00017 Signif. codes:0.001 0.01 ''0.05'.' 0.1'1 Residual standard error 2.667 on 10 degrees of freedom Multiple R-squared: 0.9983,Adjusted R-squared: 0.9979 F-statistic: 2872 on 2 and 10 DF, p-value: 1.585e-14