Recall the data from Exercise 4 based on amount of oil added (in g) and the corr
ID: 3209587 • Letter: R
Question
Recall the data from Exercise 4 based on amount of oil added (in g) and the corresponding amount of oil recovered (in g) from wheat straw. Suppose that we want to use the least squares line to predict the amount of oil recovered from the wheat straw based on the initial amount of oil added. Consider the accompanying output from the SAS statistical computer package. Dependent Variable: oil_recov Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 289.45805 289.45805 2977.07 |t| Intercept 1 -0.52343 0.14528 -3.60 0.0032 oil_added 1 0.87825 0.01610 54.56Explanation / Answer
a) Equation of least square line will be:
Oil_Recov = -0.52343 + 0.87825 * (Oil_Added)
For Oil_Added = 10,
Oil_Recov = -0.52343 + 0.87825 (10)
Oil_Recov = 8.25907 g
b) SSResid = 1.26398
SSTo = 290.72203
r2 = 0.9957
se = 0.31182
The p - value for the model is coming very close to 0 so this model line provides an effective summary of the relationship between the two variables.
Moreover R^2 value is very high i.e. 0.9957 so this indicates that 99.57% of the variation in Oil recovered can be explained using Oil Added.
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