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 linear equation relating Y to x if we observe the following data for n=8 trees Σ; α; = 192, Σ; yi = 258 Σ; x2; = 5280, Σixiyi x² Of = 8.25+2 Ý = 40.5+ 9.062 Ý = 1.29+2.29 Oỹ = 8.40 + 1.3x = 6864 =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 8PT: Does Table 1 represent a linear function? If so, finda linear equation that models the data.
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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 linear equation relating Y to
x if we observe the following data for n=8 trees
Σ; α; = 192, Σ; yi = 258
–
Σ; 12; = 5280, Σ; wiyi = 6864
~ = 8. 25 + x
Οğ – 40. 5 + 9.06
Υ - 1. 29 + 2. 29x
Υ = 8. 40 + 1.32
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 linear equation relating Y to x if we observe the following data for n=8 trees Σ; α; = 192, Σ; yi = 258 – Σ; 12; = 5280, Σ; wiyi = 6864 ~ = 8. 25 + x Οğ – 40. 5 + 9.06 Υ - 1. 29 + 2. 29x Υ = 8. 40 + 1.32
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