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b) Graphing technology was used to determine a linear and an exponential model for the data. The following regression was performed. Write the linear equation of best fit and the exponential equation of best fit. 3000 c) The following is a graph of both models. Label the axes and each graph. How long does it take before the graphs show a visible difference? 2800- LinReg y = ax + b a = -50 b = 3000 m² = 1 r = -1 2600 2400- 2200 2000- 1800- 1600 1400- 1200 1000- 800 600 400 200 ExpReg y = a b^x a = 3001.498529 b = 0.9827503405 r² = 0.9998385107 r= -0.9999192521 . -24 Dwight left the tank overnight. The next morning, after 14 hours, the pressure was 2300 psi. Which model predicts this pressure most accurately?

b) Graphing technology was used to determine a linear and an exponential model for the data. The following regression was performed. Write the linear equation of best fit and the exponential equation of best fit. 3000 c) The following is a graph of both models. Label the axes and each graph. How long does it take before the graphs show a visible difference? 2800- LinReg y = ax + b a = -50 b = 3000 m² = 1 r = -1 2600 2400- 2200 2000- 1800- 1600 1400- 1200 1000- 800 600 400 200 ExpReg y = a b^x a = 3001.498529 b = 0.9827503405 r² = 0.9998385107 r= -0.9999192521 . -24 Dwight left the tank overnight. The next morning, after 14 hours, the pressure was 2300 psi. Which model predicts this pressure most accurately?

MATLAB: An Introduction with Applications
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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c) From the scatter plot, which model appears most appropriate: linear, quadratic, or exponential? d) Graphing technology was used to create a model for the data and the following regression was performed. Represent the model using an equation of best fit. QuadReg y = ax²+bx+c a = -5 b = 75.4 c = 469.1 R² = 0.9999757899 e) Use the model to predict the effect of increasing the concentration of fertilizer by several more steps of 1%. Plot these points on the scatter plot. f) Use your model and your calculations from part e) to predict the concentration that will result in the maximum crop yield. Also, when a quadratic equation is in standard form, the x-coordinate of the vertex can be calculated using x = g) What is the maximum crop yield? Page 19 of 19
Transcribed Image Text:c) From the scatter plot, which model appears most appropriate: linear, quadratic, or exponential? d) Graphing technology was used to create a model for the data and the following regression was performed. Represent the model using an equation of best fit. QuadReg y = ax²+bx+c a = -5 b = 75.4 c = 469.1 R² = 0.9999757899 e) Use the model to predict the effect of increasing the concentration of fertilizer by several more steps of 1%. Plot these points on the scatter plot. f) Use your model and your calculations from part e) to predict the concentration that will result in the maximum crop yield. Also, when a quadratic equation is in standard form, the x-coordinate of the vertex can be calculated using x = g) What is the maximum crop yield? Page 19 of 19
Student Date: Last Stuc b) Graphing technology was used to determine a linear and an exponential model for the data. The following regression was performed. Write the linear equation of best fit and the exponential equation of best fit. a = -50 b = 3000 r² = 1 r = -1 3000 LinReg y = ax + b 2800- to aqst c) The following is a graph of both models. Label the axes and each graph. How long does it take before the graphs show a visible difference? 2600 2400 2200 2000 1800- 1600- 1400+ 1200 -1000- 800 Toro 600 400 200- 8 10 -12 ExpReg y = a+b^x a = 3001,498529 b= 0.9827503405 r² = 0.9998385107 r = -0.9999192521 14 16- -18 20 22 . -24 d) Dwight left the tank overnight. The next morning, after 14 hours, the pressure was 2300 psi. Which model predicts this pressure most accurately? e) Compare the rate of change of the linear model to that of the exponential model. Which model predicts that the pressure will decrease more slowly? Page 17 of 19
Transcribed Image Text:Student Date: Last Stuc b) Graphing technology was used to determine a linear and an exponential model for the data. The following regression was performed. Write the linear equation of best fit and the exponential equation of best fit. a = -50 b = 3000 r² = 1 r = -1 3000 LinReg y = ax + b 2800- to aqst c) The following is a graph of both models. Label the axes and each graph. How long does it take before the graphs show a visible difference? 2600 2400 2200 2000 1800- 1600- 1400+ 1200 -1000- 800 Toro 600 400 200- 8 10 -12 ExpReg y = a+b^x a = 3001,498529 b= 0.9827503405 r² = 0.9998385107 r = -0.9999192521 14 16- -18 20 22 . -24 d) Dwight left the tank overnight. The next morning, after 14 hours, the pressure was 2300 psi. Which model predicts this pressure most accurately? e) Compare the rate of change of the linear model to that of the exponential model. Which model predicts that the pressure will decrease more slowly? Page 17 of 19
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