A study was conducted on 64 female collage athletes. The researcher collected da
ID: 1217183 • Letter: A
Question
A study was conducted on 64 female collage athletes. 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 percent body fat, height, and/or age are significant predictors of total body weight. All conditions have been checked and are met and no transformations were needed. There is evidence to reject the null hypothesis from the F-test. A t-test is to be performed on the explanatory variable percent body fat. Which of the following is the correct null hypothesis? Choose the correct answer below. Percent body fat is a significant predictor of total body weight. Percent body fat is a significant predictor of total body weight after accounting for the effects of height and age. Percent body fat is not a significant predictor of total body weight after accounting for the effects of height and age. Percent body fat is not highly correlated with either height or age. Percent body fat is not a significant predictor of total body weight.Explanation / Answer
it should be kept in mind that , In general, an F-test in regression compares the fits of different linear models. Unlike t-tests that can assess only one regression coefficient at a time, the F-test can assess multiple coefficients simultaneously thus, even in F-test we take null hypothesis that The fit of the intercept-only model and your model are equal with no significance. remember that no two tests are analysed simultaneously with assessing the impact of explanatory variables on dependent one. therefore, it there are evidence of rejecting the null hypothesis in F-test, this indicates that the P value for the F-test of overall significance test is less than your significance level, you can reject the null-hypothesis and conclude that your model provides a better fit than the intercept-only model.
If your entire model is statistically significant, that's great news! therefore, The answer is A) Percent body fat is a significant pridictor of total body weight.
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