The President of the Farmers Association wants to know how the amount of fertilizer and the amount of water given to plants affect their growth. The results were inputted into MINITAB so as to fit the model. Regression Analysis: Growth versus Water, Fertilizer The regression equation is Growth = ? + ? Water + ?Fertilizer   Predictor         Coef                SE Coef           T                      P Constant          42.085             **                    3.118               0.009 Water              0.178               0.386               0.460               0.654 Fertilizer         5.790               0.952               6.083               *   S = 6.159         R-Sq = 77.1%%          R-Sq(adj) = 73.3% Analysis of Variance Source             DF          SS                     MS              F         P Regression       2         1532.603         766.301           ***    **** Residual Error 12        455.130           37.928 Total                14        1987.733 Conduct a hypothesis test, at the 5% level of significance, to determine whether ? is  What would be the growth of the plant if 4g of fertilizer and 7g of water was given to it daily?  Carry out an F -test at the 1% significance level to determine whether the model is significant

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 2ECP
icon
Related questions
Question

The President of the Farmers Association wants to know how the amount of fertilizer and the amount of water given to plants affect their growth. The results were inputted into MINITAB so as to fit the model.

Regression Analysis: Growth versus Water, Fertilizer

The regression equation is

Growth = ? + ? Water + ?Fertilizer

 

Predictor         Coef                SE Coef           T                      P

Constant          42.085             **                    3.118               0.009

Water              0.178               0.386               0.460               0.654

Fertilizer         5.790               0.952               6.083               *

 

S = 6.159         R-Sq = 77.1%%          R-Sq(adj) = 73.3%

Analysis of Variance

Source             DF          SS                     MS              F         P

Regression       2         1532.603         766.301           ***    ****

Residual Error 12        455.130           37.928

Total                14        1987.733

  1. Conduct a hypothesis test, at the 5% level of significance, to determine whether ? is 
  2. What would be the growth of the plant if 4g of fertilizer and 7g of water was given to it daily? 
  3. Carry out an F -test at the 1% significance level to determine whether the model is significant
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning