The weight (y, in gram), age ( x1, in years) and length (x2. in mm) are measured on a random sample of n=17 whitefish.
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The weight (y, in gram), age ( x1, in years) and length (x2. in mm) are measured on a random sample of n=17 whitefish.
The weight (y, in gram), age ( x1, in years) and length (x2. in mm) are measured on a random sample of n=17 whitefish. Consider several regression models for describing the association between weight and the predictors, age and length: - Model 0:μ( age, length )=β0 - Model 1: μ (age, length) =β0+β1 age - Model 2: μ( age, length )=β0+β2 length - Model 3:μ( age. length )=β0+β1 age +β2 length a) Using the output at the end of the exam. report appropriate F-ratios and corresponding degrees of freedom for each of the model comparisons below. (Some may be found directly in the output, some require computation.) i. Model 0 versus Model 1 ii. Model 0 versus Model 2 iii. Model 0 versus Model 3 iv. Model 1 versus Model 3 V. Model 2 versus Model 3 b) Which model is best? Explain very briefly. c) Report the squared correlation between the observed weights and those predicted by the model you chose as best.
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