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)
X	Y
5	11
10	20
20	32
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

Answer 1

We can use here Excel for regression equation

Step 1) Enter data in Excel .

Step 2) Data >>Data analysis >>Regression >>Select y and x values separately >>Ok

ANOVA
	df	SS	MS	F	Significance F
Regression	1	318.89	318.89	8.88	0.0966
Residual	2	71.86	35.93
Total	3	390.75

SUMMARY OUTPUT S 10 11 20 40 36 Square Repression Statistics Multiple 0.903379778 0.816095094 Adjusted R Scucrc 0.724142535 Standaru Error 5.994200095 Observations ANOVA F S ignificance F 8.87518151 0.098620222 Regression Residual 1 2 318.8891304 71.80050957 390.75 318.8891304 35.93043478 3 Irleri X Variable 1 Coefficients Standard Error 12.250069521 5.153375357 0.665086967 0.723584816 Stet 2.379192014 2.979124285 value Lower 95% Upper 95% 0.140394103 -9.912315111 34.43905424 0.046620222 -0.295920864 1.678094777 Lower 95.0% -9.912315111 -0.295920864 Upper 95.0% 34.43405424 1 .628094777