Example 14.15. The growth of a certain plant y, growth measured in terms of its height in centimeters, is guessed to have a linear regression on the time measured in the units of weeks. Here x = 0 means the starting of the observations, x = 1 means at the end of the first week, x = 2 means at the end of the second week and so on. The following observations are made. x y 0 1 2 3 4 2.0 4.5 5.5 7.5 10.5 Estimate the regression function and then estimate y at x = 3.5, x = 7.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Example 14.15. The growth of a certain plant y, growth measured in terms of its height in
centimeters, is guessed to have a linear regression on the time measured in the units of weeks.
Here x = 0 means the starting of the observations, x = 1 means at the end of the first week, x = 2
means at the end of the second week and so on. The following observations are made.
x
Y
0 1 2 3 4
2.0 4.5 5.5 7.5 10.5
Estimate the regression function and then estimate y at x = 3.5, x = 7.
Transcribed Image Text:Example 14.15. The growth of a certain plant y, growth measured in terms of its height in centimeters, is guessed to have a linear regression on the time measured in the units of weeks. Here x = 0 means the starting of the observations, x = 1 means at the end of the first week, x = 2 means at the end of the second week and so on. The following observations are made. x Y 0 1 2 3 4 2.0 4.5 5.5 7.5 10.5 Estimate the regression function and then estimate y at x = 3.5, x = 7.
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