Please solve ONLY parts h, i. The article \"Effect of Environmental Factors on S
ID: 3207798 • Letter: P
Question
Please solve ONLY parts h, i.
The article "Effect of Environmental Factors on Steel plate Corrosion Under Marine Immersion Conditions (C. Soares, Y. Garbatov, and A. Zayed, Corrosion Engineering, Science and Technology, 2011:524" 541) describes an experiment in which nine steel specimens were submerged in seawater at various temperatures. and the corrosion rates were measured. The results are presented in the following table (obtained by digitizing a graph). Construct a scatterplot of corrosion (y) versus temperature (x). Verify that a linear model is appropriate. Compute the least-squares line for predicting corrosion from temperature. Two steel specimens whose temperatures differ by 10 degree C are submerged in seawater. By how much would you predict their corrosion rates to differ? Predict the corrosion rate for steel submerged in seawater at a temperature of 20 degree C. Compute the fitted values. Compute the residuals. Which point has the residual with the largest magnitude? Compute the correlation between temperature and corrosion rate. Compute the regression sum of squares, the error sum of squares, and the total sum of squares. Divide the regression sum of squares by the total sum of squares. What is the relationship between this quantity and the correlation coefficient?Explanation / Answer
here b1=Sxy/Sxx=0.0355
and bo=Ybar-b1*Xbar =0.394
putting the values according to regression equation Y=0.0355x+0.394
we get the value Y'i
h) from above table regression sum of square SSR = 0.612
SSE=0.271
SST=0.883
i) R2=SSR/SST =0.693
R2 is coefficinet of determination is is square value of correlation coefficient.
s. No x Y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi'=b0+x*b1 (Y-Yi')^2 (Ybar-Yi')^2 1 26.6 1.58 78.2242 0.309 4.914 1.3385 0.0583 0.10 2 26 1.45 67.9709 0.181 3.508 1.3172 0.0176 0.09 3 27.4 1.13 93.0153 0.011 1.018 1.3669 0.0561 0.12 4 21.7 0.96 15.5586 0.004 -0.254 1.1645 0.0418 0.02 5 14.9 0.99 8.1542 0.001 0.098 0.9230 0.0045 0.01 6 11.3 1.05 41.6742 0.001 -0.165 0.7952 0.0649 0.05 7 15 0.82 7.5931 0.042 0.563 0.9266 0.0114 0.01 8 8.7 0.68 82.0031 0.119 3.119 0.7029 0.0005 0.10 9 8.2 0.56 91.3086 0.216 4.438 0.6851 0.0157 0.12 total(T) 159.8000 9.2200 485.5022 0.8830 17.240 0.270852135 0.61217009 mean=T/n 17.756 1.02 Sxx Syy=SST Sxy SSE SSR