Nadeen Fakhoury
Professor Mortagy
Business Statistics
May 23 2021
Regression Paper: Age and the hours of sleep related?
Assertion:
There is no relationship between the hours of sleep a person gets and the age a person is.
Hypothesis:R=0
I took a group of 15 people between the ages 12-84, and took the number of hours they sleep in
2020 to test my hypothesis.
Correlation Analysis:
Age
Amount of
Sleep
Age 1
Amount of Sleep
0.4436717
9 1
According to the correlation analysis, r does not equal 0, r is equal to 0.44, meaning that there is
a relationship between the age and hours of sleep a person gets.
Regression Analysis:
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.44367179
R Square 0.19684466
Adjusted R Square 0.13506348
Standard Error 1.66614356
Observations 15
ANOVA
df SS MS F Significance F
Regression 1 8.84488669 8.84488669 3.18615894 0.09760381
Residual 13 36.0884466 2.77603436
Total 14 44.9333333
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 6.69218501 0.8176494 8.18466328 1.7403E-06 4.92576088 8.45860914 4.92576088 8.45860914
Age 0.03409748 0.01910243 1.7849815 0.09760381 -0.0071708 0.07536577 -0.0071708 0.07536577
Since my hypothesis is r=0 then I will reject the hypothesis because the r does not equal
zero, it equals 0.44, meaning there is a relationship.
Relationship: As a person gets older the hour of sleep they get at night increases.
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