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20. + -/10 points PriviteraStats2 16.E.025 My Notes Ask Your Teacher A psycholog

ID: 3316354 • Letter: 2

Question

20. + -/10 points PriviteraStats2 16.E.025 My Notes Ask Your Teacher 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)Sleep (in minutes) Time It Took to 10 20 40 10 16 30 35 Compute an analysis of regression for this hypothetical study. (Round your answers to two decimal places.) Source of df MS Variation Regression Residual (error) Total Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Retain the null hypothesis Reject the null hypothesis

Explanation / Answer

As per the statistical software output, the regression equation will be:

Analysis of variance table for regression model:

Since p - value is greater than 0.05, we retain the null hypothesis.

Source SS Df MS F-stat Regression 353.06 1 353.06 12.24 Error 57.69 2 28.84 Total 410.75 3