Select all that apply: A. The results of the F-test indicate strong evidence tha
ID: 3312669 • Letter: S
Question
Select all that apply:
A. The results of the F-test indicate strong evidence that at least one explanatory variable is a significant predictor of total body weight.
B. In a backwards selection process, age would be removed since it has a negative t-statistic.
C. The results of a t-test indicate strong evidence to say that height is a significant predictor of total body weight and would be a significant predictor regardless if % body fat and/or age were in the model.
D. None of the above.
The researcher collected data on a number of variables including percent body fat, total body weight, height, and age of athlete. The researcher wondered if % body fat (%BF), height (HGT), and/or age are significant predictors of total body weight. All conditions have been checked and are met and no transformations were needed Predictor Constant %BF HGT AGE Coef SE Coef 28.79 1.3643 0.3126 3.4285 0.3679 -0.9601 0.6483 - 3.39 4.36 9.32 - 1.48 0.001 0.000 0.000 0.144 - 97.69 S=10.1086 R-Sq = 66.9% Analysis of Variance Source MS 3 12,407.94136.0 102.2 DF 40.48 0.000 Regression Residual Error Total 60 6131.0 63 18,539.0Explanation / Answer
The p-value of F test statistics is 0.0000. Since p-value is very small so model is significant. Hence, opion A is correct.
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Since p-value of Age is 0.144 so Age is not signficant to model.
It does not matter whether t is negative or positive.
Option B is not correct.
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Option C and D is not correct.
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