The President of the Farmers Association wants to know how the amount of fertilizer and theamount of water given to plants affect their growth. The results were inputted into MINITAB so asto fit the model.Regression Analysis: Growth versus Water, FertilizerThe regression equation isGrowthB + ¢ Water + aFertilizerPredictorСoefSE CoefPConstant42.085**3.1180.009Water0.1780.3860.4600.654Fertilizer5.7900.9526.083S6.159R-Sq77.1%%R-Sq (adj)73.3%||Analysis of VarianceSourceDFSSMSFPRegression1532.603766.301*******Residual Error12455.13037.928Total141987.733 Write out the regression equationWhat is the sample size used in this investigation?Determine the values of *,i.ii.iii.** and *** ****iv.Conduct a hypothesis test, at the 5% level of significance, to determine whether o issignificant.What would be the growth of the plant if 4g of fertilizer and 7g of water was given to itdaily?Carry out an F -test at the 1% significance level to determine whether the model issignificantV.vi.

The independent variables are water and fertilizer. The dependent variable is growth. We have to…

Answered: The President _of the Farmers…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 4SGR

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A business statistics professor would like to develop a regression model to predict the final exam scores for students based on their current GPAs, the number of hours they studied for the exam, the number of times they were absent during the semester, and their genders. The data for these variables are given in the accompanying table at the bottom of this page. a) Using Excel, construct a regression model using all of the independent variables. Create the dummy variable Gen, which equals 1 for a male and 0 for a female student ( this assignment is arbitrary) complete the regression equation for the model below, where y= Score, x1= GPA, x2= Hours, x3= Absenses, and x4= Gen. y= (__) + (__)x1 + (__)x2 + (__)x3 + (__)x4 b) Test the significance of the overall regression model using a= 0.10. c) interpret the meaning of the regression coefficient for the dummy variable. d) using the p-values, identify which independent variables are significant with a= 0.10. e) construct a regression…
Assume that you want to predict Company Performance based on the linear effects of Trust and Commitment that exist among a company’s employees c) If you want to test whether there is a linear effect of Commitment and a curvilinear effect of Trust on Company Performance—such that Company Performance increases up to a certain level of Trust, after which Company Performance diminishes with increasing Trust levels—how would your regression equation look like? Further, explain your answer in your own words. Provide at least two sentences of explanation, in addition to giving the regression equation.
The President of the Farmers Association wants to know how the amount of fertilizer and theamount of water given to plants affect their growth. The results were inputted into MINITABso as to fit the model.Regression Analysis: Growth versus Water, FertilizerThe regression equation isGrowth = ? + ? Water + ?FertilizerPredictor Coef SE Coef T PConstant 42.085 ** 3.118 0.009Water 0.178 0.386 0.460 0.654Fertilizer 5.790 0.952 6.083 *S = 6.159 R-Sq = 77.1%% R-Sq(adj) = 73.3%Analysis of VarianceSource DF SS MS F PRegression 2 1532.603 766.301 *** ****Residual Error 12 455.130 37.928Total 14 1987.733i. Write out the regression equation ii. What is the sample size used in this investigation? iii. Determine the values of *, ** and ***, ****
The President of the Farmers Association wants to know how the amount of fertilizer and theamount of water given to plants affect their growth. The results were inputted into MINITABso as to fit the model.Regression Analysis: Growth versus Water, FertilizerThe regression equation isGrowth = ? + ? Water + ?FertilizerPredictor Coef SE Coef T PConstant 42.085 ** 3.118 0.009Water 0.178 0.386 0.460 0.654Fertilizer 5.790 0.952 6.083 *S = 6.159 R-Sq = 77.1%% R-Sq(adj) = 73.3%Analysis of VarianceSource DF SS MS F PRegression 2 1532.603 766.301 *** ****Residual Error 12 455.130 37.928Total 14 1987.733iv. Conduct a hypothesis test, at the 5% level of significance, to determine whether ? issignificant. [4]v. What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it
The President of the Farmers Association wants to know how the amount of fertilizer and theamount of water given to plants affect their growth. The results were inputted into MINITABso as to fit the model.Regression Analysis: Growth versus Water, FertilizerThe regression equation isGrowth = ? + ? Water + ?FertilizerPredictor Coef SE Coef T PConstant 42.085 ** 3.118 0.009Water 0.178 0.386 0.460 0.654Fertilizer 5.790 0.952 6.083 *S = 6.159 R-Sq = 77.1%% R-Sq(adj) = 73.3%Analysis of VarianceSource DF SS MS F PRegression 2 1532.603 766.301 *** ****Residual Error 12 455.130 37.928Total 14 1987.733
The President of the Farmers Association wants to know how the amount of fertilizer and theamount of water given to plants affect their growth. The results were inputted into MINITABso as to fit the model.Regression Analysis: Growth versus Water, FertilizerThe regression equation isGrowth = ? + ? Water + ?FertilizerPredictor Coef SE Coef T PConstant 42.085 ** 3.118 0.009Water 0.178 0.386 0.460 0.654Fertilizer 5.790 0.952 6.083 *S = 6.159 R-Sq = 77.1%% R-Sq(adj) = 73.3%Analysis of VarianceSource DF SS MS F PRegression 2 1532.603 766.301 *** ****Residual Error 12 455.130 37.928Total 14 1987.733 iv. Conduct a hypothesis test, at the 5% level of significance, to determine whether ? issignificant. v. What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to itdaily? vi. Carry out an F -test at the 1% significance level to determine whether the model issignificant

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