Linear Regression

Linear Regression Project Introduction to
Statistics
This project is like a take-home exam. You may seek help and guidance from
your classmates and any books or other resources, but the final write-up
(especially conclusions) must be in your own words.
You should give appropriate graphics to support your analysis. This essay is a
technical paper and should be written in that format. A good approach is to have
four sections: an introduction, a results section, a discussion section, and a
conclusion.
Fifty species of oak trees grow in the United States. Eleven species of oak from the
California region were studied. The size of each species’ acorns was measured to see
whether acorn size is related to geographic range. It is suggested that a plant’s seed size
may have an effect on the geographic range of the plant because larger acorns can be
carried away by larger animals who in turn have a wider territorial range. Acorn size is
expressed as a volume computed from measurements of length and width used to
estimate an ellipsoidal volume.
Your assignment is to conduct a full linear regression analysis of the variables “Acorn
Size” and “Geographic Range.”
Requirements:
• Scatter plots
• Introduction gives background details of the model
• Hypothesis test for ß is included and correct
• Correct interpretation of r2
• Correct prediction intervals
• Discussion of potential sources of unreliability
• Appropriate conclusion
• Reasonable mechanics
Variable Names:
1. Species: Latin name of the species
2. Region: Atlantic or California region
3. Range: The geographic area covered by the species in km2x100
4. Acorn_size: Acorn size (cm3)
5. Tree_height: Tree Height (m)
Species/ Region/ Range/ Acorn_size/ Tree_Height
Quercus Douglasii Hook. & Arn/ California/ 559/ 4.1/ 18
Quercus dumosa Nutt./ California/ 433/ 1.6/ 6
Quercus Engelmannii Greene/ California/ 259/ 2.0/ 17
Quercus Garryana Hook./ California/ 1061/ 5.5/ 20
Quercus lobata Nee/ California/ 870/ 5.9/ 30
Quercus agrifolia Nee. /California /803 /2.6 /23
Quercus Kelloggii Newb. /California/ 826/ 6.0/ 26
Quercus Wislizenii A. DC. /California/ 699 /1.0 /21
Quercus chrysolepis Liebm./ California/ 690/ 17.1/ 15
Quercus vaccinifolia Engelm./ California/ 223/ 0.4/ 1
Quercus tomentella Engelm/ California/ 13/ 7.1/ 18

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