Asked by Gerson Hernandez on Jun 03, 2024
Verified
{Student's Final Grade Narrative} Does this data provide enough evidence to conclude at the 5% significance level that the final grade and the number of skipped lectures are linearly related?
Significance Level
A threshold chosen by the researcher which defines the probability of rejecting the null hypothesis when it is actually true, used as a benchmark to interpret the p-value of the test.
Skipped Lectures
The instances where students do not attend scheduled educational classes or sessions.
Linearly Related
Refers to two or more variables which change at a constant rate relative to each other, indicating a straight-line relationship on a graph.
- Ascertain the importance of regression coefficients and their impact on the dependent variable.
- Examine the significance of individual explanatory variables through the execution of t-tests and F-tests in the framework of regression analysis.
Verified Answer
Rejection region: | t | > t0.025,46≈ 2.014 Test statistic: t = −1.916 Conclusion: Don't reject the null hypothesis.No,there is not enough evidence to conclude at the 5% significance level that the final grade and the number of skipped lectures are linearly related.
Learning Objectives
- Ascertain the importance of regression coefficients and their impact on the dependent variable.
- Examine the significance of individual explanatory variables through the execution of t-tests and F-tests in the framework of regression analysis.
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