From the output, which of the following is the correct test-statistic for the hypothesis test to answer the question, 'Does at least one of the explanatory variables help to predic... From the output, which of the following is the correct test-statistic for the hypothesis test to answer the question, 'Does at least one of the explanatory variables help to predict the response variable?'
Understand the Problem
The question is asking to identify the correct test statistic from a regression analysis output that is used to test whether at least one of the explanatory variables helps to predict the response variable (percent body fat). It provides several options including t-values and an F-statistic, and the goal is to choose the appropriate one.
Answer
F = 6.627
The final answer is F = 6.627
Answer for screen readers
The final answer is F = 6.627
More Information
In regression analysis, the F-statistic evaluates if the regression model provides a better fit to the data than a model with no predictors. A significant F-statistic indicates that the model explains a significant portion of the variability in the response variable.
Tips
A common mistake is confusing individual t-values for coefficients with the F-statistic, which assesses the model as a whole.
Sources
- Chegg - Regression Output - numerade.com
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