10.The US Army of engineers gathered data on fish contamination from toxic disch
ID: 3232152 • Letter: 1
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10.The US Army of engineers gathered data on fish contamination from toxic discharges of a chemical Corps upstream plant. The engineers measured l (in cm.), weight (in grams), distance model (miles) and the level first order multiple regression was fit to predict DDT per million). A levels in the fish. (5 points) Predictor Variables coefficient Std Error Constant -103.068 62.7004 MILE VIF -1.72 0.0870 0.08509 1.03 0.3025 0.08221 LENGTH 3.77092 2.33 0.0213 1.61886 WEIGHT -1.69 0.0935 04941 0.02926 Resid. Mean square (MSE). 9501.50 97.4756 R-squared 0.0389 Standard Deviation Adjusted R-squared 0.0183 DF Source 1.39 0.1345 Regression 3 53794 17931 140 1330210 9501.5 Residual 143 1384003 Total Cases Included 144 Missing cases oExplanation / Answer
(a) y=-108.068 + 0.08509 x1 + 3.77092 x2- 0.04941 x3+ut
(b) R square = 0.0389 ,it is not so good , as R square close to 1 is good.
(c) yes information is sufficient about this , as p value is less than 0.05 thus we reject the null hypothesis and accept the alternative hypothesis sayng it is brining change .
(d) overall adequacy of model can be judged through value of R square and adjusted R square..
concepts about R square :
so to get true picture of model adequacy we will consider adjusted R square ..which is 0.01
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