The independent variable is SO-2 deposition rate (mg/m2/day) and the dependent v
ID: 3129854 • Letter: T
Question
The independent variable is SO-2 deposition rate (mg/m2/day) and the dependent variable is steel weight loss (g/m2)
X-values: 23.4 79.1 34.5 56.3 27.4 50.2 45.3 52.1 60.2 29.4
Y-values: 398.2 1081.2 634.6 858.1 418.4 821.3 772.1 820.3 912.5 533.2
a. Calculate the equation of the estimated regression line.
b. What percentange of observed variation in steel weight loss can be attributed to the linear relationship with the variation in deposition rate?
c. What is the probability that, on average, a depostion rate of 35 (mg/m^2 /day) yields a value of steel weight loss between 500 and 575 g/m^2
Explanation / Answer
sol)
a) The Regression equation is
y=a+bx
The fitted Regression equation is
y=151.711 + 12.52x
b) Coefficient of determination is0.96
Hence 96% of observed variation in steel weight loss can be attributed to the linear relationship with the variation in deposition rate
SUMMARY OUTPUT Regression Statistics Multiple R 0.978119 R Square 0.956717 Adjusted R Square 0.951306 Standard Error 49.12746 Observations 10 ANOVA df SS MS F Significance F Regression 1 426777.6 426777.6 176.8288 9.77E-07 Residual 8 19308.06 2413.507 Total 9 446085.7 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 151.711 45.8249 3.310666 0.010688 46.03854 257.3834 46.03854 257.3834 X 12.51974 0.941497 13.2977 9.77E-07 10.34865 14.69084 10.34865 14.69084Related Questions
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