1.46 1.21 1.32 32.1 44.4 53. 1 1.44 2.33 1.79 36.8 2.31 2.53 2.66 2.26. The data
ID: 3051302 • Letter: 1
Question
1.46 1.21 1.32 32.1 44.4 53. 1 1.44 2.33 1.79 36.8 2.31 2.53 2.66 2.26. The data are taken from Atkinson, A. C Plots, Transformations, and Regression. Oxford: Clarendon Press, 1985 1.50 1.82 2.67 2.21 1.80 Here, we list 17 observations on the boiling point (F) and the barometric pressure (in inches of mercury). The data are given in the file boiling. Relate boiling point to 1.00 barometric pressure. Construct a scatter plot 1.47 1.81 1.87 1.37 1.74 point to barometric pressure. Test the Calculate and interpret the coefficient of adequacy of the model. and establish a model that relates the boiling regression coefficients for their significance. determination R2. Comment on the fit and the Note that this exercise deals with the same problem as Exercise 2.6 but uses different 1.36 2.28 2.11 1.05 data. Plot the data of the two exercises on the same graph, and add the two fitted regression lines that you found. Comment on the graph. y = Boiling Point 194.5 194.3 197.9 198.4 x = Barometric Pressure 20.79 20.79 22.40 22.67 -20 03 73 92Explanation / Answer
We use Minitab 16 to solve this question,
Minitab Output-
Regression Analysis: y versus x
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 281.069 281.069 1380.34 0.000
x 1 281.069 281.069 1380.34 0.000
Error 11 2.240 0.204
Total 12 283.309
Model Summary
S R-sq R-sq(adj) R-sq(pred)
0.451247 99.21% 99.14% 99.04%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 156.83 1.30 120.39 0.000
x 1.8456 0.0497 37.15 0.000 1.00
Regression Equation
y = 156.83 + 1.8456 * x
____________________________________________________________________________________________
Test of the regression coefficients for their significance-
From above output observe that The coefficients intercept(constant) and slope(x) both having p-values 0.000 this indicates that both coefficients are significant.
Coefficient of determination R2 = 99.21% idicates that model is well adequate.
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