In a controlled experiment, the height Y in feet of a tree andthe amount of water x in ounces received are measured. Findthe least squares equation relating Y to x if we observe thefollowing data for n=8 treesΣ; ΐΐ = 192, ΣΤΣ₁²=5280, E₁ iyi = 6864ŷ=1.29+1.29xy=40.50+9.06xOŷ=8.40+1.3x| y=8.25+x= 258

The variable y is height and the variable x is amount of water.

Answered: In a controlled experiment, the height…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where X is the age of the crab in months and Y is the predicted value of Y, the size of the male crab in cm. Y = 8.2052 + 0.5693X What is the value of Ý when a male crab is 21.7865 months old? Provide your answer with precision to two decimal places. Interpret the value of Ý. The value of Ý is the probability that a crab will be 21.7865 months old. the predicted number of crabs out of the 1,000 crabs collected that will be 21.7865 months old. the predicted incremental increase in size for every increase in age by 21.7865 months. the predicted size of a crab when it is 21.7865 months old.
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