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![There will be no significant prediction of [insert
dependent variable] by [insert predictor variable 1] and
[insert predictor variable 2], etc.](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-8-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of [insert
dependent variable] by [insert predictor variable 1],
[insert predictor variable 2], [insert predictor variable
3], & [insert predictor variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-11-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of [insert
dependent variable] by [insert predictor variable 1],
[insert predictor variable 2], [insert predictor variable
3], & [insert predictor variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-12-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of [insert
dependent variable] by [insert predictor variable 1],
[insert predictor variable 2], [insert predictor variable
3], & [insert predictor variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-13-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of [insert
dependent variable] by [insert predictor variable 1],
[insert predictor variable 2], [insert predictor variable
3], & [insert predictor variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-14-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of ACT scores by
[insert predictor variable 1], [insert predictor variable
2], [insert predictor variable 3], & [insert predictor
variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-15-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of ACT scores by
[insert predictor variable 1], [insert predictor variable
2], [insert predictor variable 3], & [insert predictor
variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-16-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of ACT scores by
hours of sleep, [insert predictor variable 2], [insert
predictor variable 3], & [insert predictor variable 4].
f](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-17-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of ACT scores by
hours of sleep, [insert predictor variable 2], [insert
predictor variable 3], & [insert predictor variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-18-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of ACT scores by
hours of sleep, study time, [insert predictor variable 3],
& [insert predictor variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-19-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of ACT scores by
hours of sleep, study time, [insert predictor variable 3],
& [insert predictor variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-20-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of ACT scores by
hours of sleep, study time, gender & [insert predictor
variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-21-320.jpg)
![Null-hypothesis #1 for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
There will be no significant prediction of ACT scores by
hours of sleep, study time, gender & [insert predictor
variable 4].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-22-320.jpg)
![In the presence of the others , there will be no
significant prediction of [insert the dependent variable]
by [insert the first independent variable].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-25-320.jpg)
![Null-hypothesis #2a for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
In the presence of the others , there will be no
significant prediction of [insert the dependent variable]
by [insert the first independent variable].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-26-320.jpg)
![Null-hypothesis #2a for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
In the presence of the others , there will be no
significant prediction of [insert the dependent variable]
by [insert the first independent variable].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-27-320.jpg)
![Null-hypothesis #2a for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
In the presence of the others , there will be no
significant prediction of [insert the dependent variable]
by [insert the first independent variable].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-28-320.jpg)
![Null-hypothesis #2a for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
In the presence of the others , there will be no
significant prediction of [insert the dependent variable]
by [insert the first independent variable].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-29-320.jpg)
![Null-hypothesis #2a for:
You have been asked to investigate how well hours of
sleep, study time, gender, mother’s education predicts
ACT scores.
In the presence of the others , there will be no
significant prediction of ACT scores by [insert the first
independent variable].](https://image.slidesharecdn.com/null-hypothesisformultiplelinearregression-141002163656-phpapp01/85/Null-hypothesis-for-multiple-linear-regression-30-320.jpg)
Uploaded byKen Plummer
Null hypothesis for multiple linear regression
The document discusses null hypotheses for multiple linear regression. It provides two templates for writing null hypotheses. Template 1 states there will be no significant prediction of the dependent variable (e.g. ACT scores) by the independent variables (e.g. hours of sleep, study time, gender, mother's education). Template 2 states that in the presence of other variables, there will be no significant prediction of the dependent variable by a specific independent variable. The document provides an example applying both templates to investigate the prediction of ACT scores by hours of sleep, study time, gender, and mother's education.
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Null hypothesis for multiple linear regression
- 1. Null-hypothesis for a Multiple-Linear Regression Conceptual Explanation
- 2. With hypothesis testingwe are setting up a null-hypothesis –
- 3. With hypothesis testingwe are setting up a null-hypothesis – the probability that there is no effect or relationship –
- 4. With hypothesis testingwe are setting up a null-hypothesis – the probability that there is no effect or relationship – and then we collect evidence that leads us to either accept or reject that null hypothesis.
- 5. As you mayrecall, when running a Multiple-Linear Regression you are attempting to determine the predictive power of more than one independent (hours of sleep, study time, gender, family background, etc.) on a dependent variable (test scores).
- 6. Here are twotemplates for a Multiple Linear Regression Null-Hypotheses:
- 7.
- 8. There will beno significant prediction of [insert dependent variable] by [insert predictor variable 1] and [insert predictor variable 2], etc.
- 9. Here is anexample:
- 10. You have beenasked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores.
- 11. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of [insert dependent variable] by [insert predictor variable 1], [insert predictor variable 2], [insert predictor variable 3], & [insert predictor variable 4].
- 12. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of [insert dependent variable] by [insert predictor variable 1], [insert predictor variable 2], [insert predictor variable 3], & [insert predictor variable 4].
- 13. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of [insert dependent variable] by [insert predictor variable 1], [insert predictor variable 2], [insert predictor variable 3], & [insert predictor variable 4].
- 14. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of [insert dependent variable] by [insert predictor variable 1], [insert predictor variable 2], [insert predictor variable 3], & [insert predictor variable 4].
- 15. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of ACT scores by [insert predictor variable 1], [insert predictor variable 2], [insert predictor variable 3], & [insert predictor variable 4].
- 16. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of ACT scores by [insert predictor variable 1], [insert predictor variable 2], [insert predictor variable 3], & [insert predictor variable 4].
- 17. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of ACT scores by hours of sleep, [insert predictor variable 2], [insert predictor variable 3], & [insert predictor variable 4]. f
- 18. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of ACT scores by hours of sleep, [insert predictor variable 2], [insert predictor variable 3], & [insert predictor variable 4].
- 19. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of ACT scores by hours of sleep, study time, [insert predictor variable 3], & [insert predictor variable 4].
- 20. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of ACT scores by hours of sleep, study time, [insert predictor variable 3], & [insert predictor variable 4].
- 21. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of ACT scores by hours of sleep, study time, gender & [insert predictor variable 4].
- 22. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of ACT scores by hours of sleep, study time, gender & [insert predictor variable 4].
- 23. Null-hypothesis #1 for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. There will be no significant prediction of ACT scores by hours of sleep, study time, gender & mother’s education.
- 24.
- 25. In the presenceof the others , there will be no significant prediction of [insert the dependent variable] by [insert the first independent variable].
- 26. Null-hypothesis #2a for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. In the presence of the others , there will be no significant prediction of [insert the dependent variable] by [insert the first independent variable].
- 27. Null-hypothesis #2a for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. In the presence of the others , there will be no significant prediction of [insert the dependent variable] by [insert the first independent variable].
- 28. Null-hypothesis #2a for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. In the presence of the others , there will be no significant prediction of [insert the dependent variable] by [insert the first independent variable].
- 29. Null-hypothesis #2a for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. In the presence of the others , there will be no significant prediction of [insert the dependent variable] by [insert the first independent variable].
- 30. Null-hypothesis #2a for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. In the presence of the others , there will be no significant prediction of ACT scores by [insert the first independent variable].
- 31. Null-hypothesis #2a for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. In the presence of the others , there will be no significant prediction of ACT scores by hours of sleep.
- 32. Null-hypothesis #2b for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. In the presence of the others , there will be no significant prediction of ACT scores by study time.
- 33. Null-hypothesis #2c for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. In the presence of the others , there will be no significant prediction of ACT scores by gender.
- 34. Null-hypothesis #2d for: You have been asked to investigate how well hours of sleep, study time, gender, mother’s education predicts ACT scores. In the presence of the others , there will be no significant prediction of ACT scores by mother’s education.
- 35. In summary –here are the null hypotheses for this example:
- 36. Ho 1: Therewill be no significant prediction of ACT scores by hours of sleep, study time, gender & mother’s education. Ho 2a: In the presence of the others , there will be no significant prediction of ACT scores by hours of sleep. Ho 2b: In the presence of the others , there will be no significant prediction of ACT scores by study time. Ho 2c: In the presence of the others , there will be no significant prediction of ACT scores by mother’s education. Ho 2d: In the presence of the others , there will be no significant prediction of ACT scores by gender.
- 37. Ho 1: Therewill be no significant prediction of ACT scores by hours of sleep, study time, gender & mother’s education. Ho 2a: In the presence of the others , there will be no significant prediction of ACT scores by hours of sleep. Ho 2b: In the presence of the others , there will be no significant prediction of ACT scores by study time. Ho 2c: In the presence of the others , there will be no significant prediction of ACT scores by mother’s education. Ho 2d: In the presence of the others , there will be no significant prediction of ACT scores by gender.
- 38. Ho 1: Therewill be no significant prediction of ACT scores by hours of sleep, study time, gender & mother’s education. Ho 2a: In the presence of the others , there will be no significant prediction of ACT scores by hours of sleep. Ho 2b: In the presence of the others , there will be no significant prediction of ACT scores by study time. Ho 2c: In the presence of the others , there will be no significant prediction of ACT scores by mother’s education. Ho 2d: In the presence of the others , there will be no significant prediction of ACT scores by gender.
- 39. Ho 1: Therewill be no significant prediction of ACT scores by hours of sleep, study time, gender & mother’s education. Ho 2a: In the presence of the others , there will be no significant prediction of ACT scores by hours of sleep. Ho 2b: In the presence of the others , there will be no significant prediction of ACT scores by study time. Ho 2c: In the presence of the others , there will be no significant prediction of ACT scores by gender. Ho 2d: In the presence of the others , there will be no significant prediction of ACT scores by mother’s education.y gender.
- 40. Ho 1: Therewill be no significant prediction of ACT scores by hours of sleep, study time, gender & mother’s education. Ho 2a: In the presence of the others , there will be no significant prediction of ACT scores by hours of sleep. Ho 2b: In the presence of the others , there will be no significant prediction of ACT scores by study time. Ho 2c: In the presence of the others , there will be no significant prediction of ACT scores by gender. Ho 2d: In the presence of the others , there will be no significant prediction of ACT scores by mother’s education.