An agricultural economist assumes that there is a linear relationship between the amounts of fertilizer supplied to tomatoes obtained. Eight tomato plants, of the same variety, were selected at random and treated, weekly, with a solution in which x grams of fertilizer was dissolved in a fixed quantity of water. The yield, y kilograms, of tomatoes was recorded. PlantsABCDEFGHX1.01.52.02.53.03.54.04.5Y3.94.45.86.67.07.17.37.7 Use a graphical method to explain if the agricultural economist was correct to assume a linear relationship between the amounts of fertilizer used and subsequent yields.Calculate the equation of the least square’s regression line.Estimate the yield of a plant treated, weekly, with 3.2 grams of fertilizer.

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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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An agricultural economist assumes that there is a linear relationship between the amounts of fertilizer supplied to tomatoes obtained. Eight tomato plants, of the same variety, were selected at random and treated, weekly, with a solution in which x grams of fertilizer was dissolved in a fixed quantity of water. The yield, y kilograms, of tomatoes was recorded.

Plants	A	B	C	D	E	F	G	H
X	1.0	1.5	2.0	2.5	3.0	3.5	4.0	4.5
Y	3.9	4.4	5.8	6.6	7.0	7.1	7.3	7.7

Use a graphical method to explain if the agricultural economist was correct to assume a linear relationship between the amounts of fertilizer used and subsequent yields.
Calculate the equation of the least square’s regression line.
Estimate the yield of a plant treated, weekly, with 3.2 grams of fertilizer.

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