A psychologist noted that people have more difficulty sleeping in a bright room

Question

A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room, she measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table. Compute an analysis of regression for this hypothetical study. (Round your answers to two decimal places.) Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Retain the null hypothesis. Reject the null hypothesis. You may need to use the appropriate table in Appendix B to answer this question.

Explanation / Answer

Following is teh output of regression analysis generated by excel:

So requried ANOVA is

Since p-value is greater than 0.05 so we fail to reject the null hypothesis.

SUMMARY OUTPUT Regression Statistics Multiple R 0.943723989 R Square 0.890614967 Adjusted R Square 0.835922451 Standard Error 4.887428416 Observations 4 ANOVA df SS MS F Significance F Regression 1 388.976087 388.976087 16.28403713 0.056276011 Residual 2 47.77391304 23.88695652 Total 3 436.75 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 9.956521739 4.201853943 2.369554457 0.141307289 -8.122596599 28.03564008 X 0.735652174 0.18230202 4.035348452 0.056276011 -0.04873011 1.520034458

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.