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. Intensity of Light (in watts) Time It Took to Sleep (in minutes) 10 20 40 10 18 29 35 Compute an analysis of regression for this hypothetical study. (Round your answers to two decimal places.) Source of Variation df MS obt 356.5 X 356.5 X Regression Residual (error) 42.17 X Total 398.7 3 Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Retain the null hypothesis O Reject the null hypothesis.

Explanation / Answer

Obtain Regresion output as:

coming to answers:

p=0.065

p>0.05

Do not reject null hypothesis

SUMMARY OUTPUT Regression Statistics Multiple R 0.935442 R Square 0.875052 Adjusted R Square 0.812578 Standard Error 4.833758 Observations 4 ANOVA df SS MS F Significance F Regression 1 327.27 327.27 14.01 0.064557691 Residual 2 46.73 23.37 Total 3 374.00 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 10.34783 4.155712 2.490025 0.130457 -7.532760044 28.22841 X 0.674783 0.1803 3.742552 0.064558 -0.100986138 1.450551

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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