Does at least one of the explanatory variables help to predict the response variable? For each of the given hypotheses, determine if it's the null hypothesis, alternative hypothesi... Does at least one of the explanatory variables help to predict the response variable? For each of the given hypotheses, determine if it's the null hypothesis, alternative hypothesis, or neither.
Understand the Problem
The question is asking to analyze hypothesis tests regarding the relationship between explanatory variables (body weight, height, and age) and the response variable (percent body fat) in a regression analysis of female college athletes. Specifically, it seeks to classify various hypotheses as null or alternative based on statistical significance.
Answer
1. Null; 2. Alternative; 3. Neither; 4. Null
- Null hypothesis; 2. Alternative hypothesis; 3. Neither; 4. Null hypothesis
Answer for screen readers
- Null hypothesis; 2. Alternative hypothesis; 3. Neither; 4. Null hypothesis
More Information
In regression, the null hypothesis typically states that no explanatory variables are significant predictors, meaning all coefficients equal zero. An alternative hypothesis indicates at least one coefficient is non-zero.
Tips
A common mistake is confusing the roles of the null and alternative hypotheses, particularly assuming that all variables must be significant.
Sources
- Null hypothesis for linear regression - Cross Validated - stats.stackexchange.com
- Understanding Null Hypothesis Testing - BC Open Textbooks - opentextbc.ca
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