In: Statistics and Probability
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)  | 
|---|---|
| X | Y | 
| 5 | 9 | 
| 10 | 17 | 
| 20 | 29 | 
| 40 | 36 | 
Compute an analysis of regression for this hypothetical study.
(Round your answers to two decimal places.)
| Source
of Variation  | 
SS | df | MS | Fobt | 
|---|---|---|---|---|
| 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.