An agricultural scientist planted alfalfa on several plots of land, identical except for the soil pH. Fol-lowing are the dry matter yields (in pounds per acre) for each plot. pH 4.6 4.8 5.2 5.4 5.6 5.8 6 Yield 1056 1833 1629 1852 1783 2647 2131 a) Construct a scatterplot of yield (y) versus pH (x). Verify that a linear model is appropriate. b) Compute the least-squares line for predicting yield from pH. c) Compute the fitted value and the residual for each point. d) If the pH is increased by 0.1, by how much would you predict the yield to increase or decrease? e) Predict the yield for a pH of 5.5. f) Can the least-squares line be used to predict the yield for a pH of 7? If so, predict the yield. If not, explain why not. g) For what pH would you predict a yield of 1500 pounds per acre?
An agricultural scientist planted alfalfa on several plots of land, identical except for the soil pH. Fol-lowing are the dry matter yields (in pounds per acre) for each plot. pH 4.6 4.8 5.2 5.4 5.6 5.8 6 Yield 1056 1833 1629 1852 1783 2647 2131 a) Construct a scatterplot of yield (y) versus pH (x). Verify that a linear model is appropriate. b) Compute the least-squares line for predicting yield from pH. c) Compute the fitted value and the residual for each point. d) If the pH is increased by 0.1, by how much would you predict the yield to increase or decrease? e) Predict the yield for a pH of 5.5. f) Can the least-squares line be used to predict the yield for a pH of 7? If so, predict the yield. If not, explain why not. g) For what pH would you predict a yield of 1500 pounds per acre?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![An agricultural scientist planted alfalfa on several plots of land, identical except for the soil
pH. Fol-lowing are the dry matter yields (in pounds per acre) for each plot.
pH
4.6
4.8
5.2
5.4
5.6
5.8
6
Yield
1056
1833
1629
1852
1783
2647
2131
a) Construct a scatterplot of yield (y) versus pH (x). Verify that a linear model is appropriate.
b) Compute the least-squares line for predicting yield from pH.
c) Compute the fitted value and the residual for each point.
d) If the pH is increased by 0.1, by how much would you predict the yield to increase or
decrease?
e) Predict the yield for a pH of 5.5.
f) Can the least-squares line be used to predict the yield for a pH of 7? If so, predict the yield.
If not, explain why not.
g) For what pH would you predict a yield of 1500 pounds per acre?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F135d4a40-2572-4c62-8b31-300ca8461b64%2F11548a8e-8baa-454f-98cc-df21066225c5%2Fykgt1he_processed.png&w=3840&q=75)
Transcribed Image Text:An agricultural scientist planted alfalfa on several plots of land, identical except for the soil
pH. Fol-lowing are the dry matter yields (in pounds per acre) for each plot.
pH
4.6
4.8
5.2
5.4
5.6
5.8
6
Yield
1056
1833
1629
1852
1783
2647
2131
a) Construct a scatterplot of yield (y) versus pH (x). Verify that a linear model is appropriate.
b) Compute the least-squares line for predicting yield from pH.
c) Compute the fitted value and the residual for each point.
d) If the pH is increased by 0.1, by how much would you predict the yield to increase or
decrease?
e) Predict the yield for a pH of 5.5.
f) Can the least-squares line be used to predict the yield for a pH of 7? If so, predict the yield.
If not, explain why not.
g) For what pH would you predict a yield of 1500 pounds per acre?
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