In a controlled experiment, the height Y in feet of a tree and the amount of water x in ounces received are measured. Find the least squares equation relating Y to x if we observe the following data for n=8 trees Σ; α; = 192, Σ:yi xi Yi Σ; α; = 5280, Σ; iyi = 6864 Oŷ=40.50+9.06x Oŷ=1.29+1.29x Oŷ=8.25+x Oŷ=8.40+1.3x = = 258

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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In a controlled experiment, the height Y in feet of a tree and the amount of water x in
ounces received are measured. Find the least squares equation relating Y to x if we
observe the following data for n=8 trees
Σ; α; = 192, Σ; yi = 258
Σ; æ2; = 5280, Σæiyi
=
g=40.50+9.06x
=1.29+1.29x
g=8.25+x
g=8.40+1.3x
=
= 6864
Transcribed Image Text:In a controlled experiment, the height Y in feet of a tree and the amount of water x in ounces received are measured. Find the least squares equation relating Y to x if we observe the following data for n=8 trees Σ; α; = 192, Σ; yi = 258 Σ; æ2; = 5280, Σæiyi = g=40.50+9.06x =1.29+1.29x g=8.25+x g=8.40+1.3x = = 6864
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