a) To calculate: The least squares regression line for the data points using the table given below. begin{array}{|c|c|} hline Fertilizer & x & 100 & 150 & 200 & 250 hline Yield & y & 35 & 44 & 50 & 56 hline end{array} b)To calculate: The approximate yield when 175 pounds of fertizers were used per acre of land.

Question
Modeling data distributions
asked 2021-03-18
a) To calculate: The least squares regression line for the data points using the table given below. \begin{array}{|c|c|} \hline Fertilizer & x & 100 & 150 & 200 & 250 \\ \hline Yield & y & 35 & 44 & 50 & 56 \\ \hline \end{array} b)To calculate: The approximate yield when 175 pounds of fertizers were used per acre of land.

Answers (1)

2021-03-19
Calculation: The regression quation can be obtained using Maple. Maple Command: \(\displaystyle\text{restart: with(plots): with(CurveFitting): with(Statistic):}\)
\(\displaystyle{a}\:={\left[{100},\ {150},\ {200},\ {250}\right]}:\)
\(\displaystyle{b}\:={\left[{35},\ {44},\ {50},\ {56}\right]}:\)
\(\displaystyle{q}\:=\text{evalf(LeastSquares(a, b, x))},\) \(\displaystyle{22.10000000}\ +\ {0.1380000000}\ {x}\) This implies that the regression equation is \(\displaystyle{y}={0.138}{x}\ +\ {22.1}\) b) The regression equation is \(\displaystyle{y}={0.138}{x}\ +\ {22.1}\) Substitute for x in the model to obtain the desired value. \(\displaystyle{y}={0.138}{x}\ +\ {22.1}\)
\(\displaystyle={0.138}{\left({175}\right)}\ +\ {22.1}\)
\(\displaystyle={24.15}\ +\ {22.1}\)
\(\displaystyle={46.25}\)
0

Relevant Questions

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\(\begin{array}{|c|c|} \hline x & Mileage & f(x) \\ \hline 28 & 45 \\ \hline 30 & 51\\ \hline 32 & 56\\ \hline 34 & 50\\ \hline 36 & 46\\ \hline \end{array}\)
​(Round to one decimal place as​ needed.)
\(A. 20602060xf(x)\)
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\(B. 20602060xf(x)\)
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asked 2021-03-05
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asked 2020-12-28
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asked 2020-11-23
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\(\displaystyle{d}{f}={3}\)
asked 2020-12-27
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asked 2020-11-07
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asked 2021-02-23
The mill Mountain Coffee shop blends coffee on the premises for its customers. it sells three basic blends in 1- pound bags, Special , Mountain dark, and Mill regular. It uses four different types of coffee to produce the blends- Brazilian, mocha,Columbian, and mild. The shop used the following blend recipe requirements :
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a. Formulate a linear programming model
b. Solve this model
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