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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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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. Write out the regression equation 
  2. What is the sample size used in this investigation? 
  3. Determine the values of *, ** and ***, **** 
  4. Conduct a hypothesis test, at the 5% level of significance, to determine whether ? is
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