- 1.80Starbucks Coffee Co. uses a data-based approach to improving quality and customer satisfaction. An experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. Among the factors that could affect the rating of the ability of the bag to resisttears were the viscosity, pressure, and plate gap on the bag-sealing equipment. The accompanying data were collected on 18 bags in which the plate gap was varied. Develop a multiple regression model that uses the viscosity, pressure, and plate gap on the bag-sealing equipment to predict the tear rating of the bag. Do you think that you need to use allthree independent variables in the model? Explain.E Click the icon to view the bag data.State the multiple regression equation that uses the viscosity, pressure, and plate gap on the bag-sealing equipment to predict the tear rating of the bag. Let X, be the viscosity, let X2 be the pressure, and let X3 be the plate gap.Bag Data(Round to three decimal places as needed.)Determine if there is a significant relationship between tear rating and the three independent variables at the 0.05 level of significance. Determine the null and alternative hypotheses.Tear Viscosity Pressure Plate Gap e180.00170.00186.00174.000.00350.000.00Но0.00350.000.000.45319.00380.001.80H1:0.850 351.800.35350.00180.000.00Determine the test statistic.400.00350.00350.00319.00380.00350.00380.00350.000.70180.000.00190.001.90190.000.00FSTAT =O180.000.25180.000.00(Round to two decimal places as needed.)186.00186.000.10-1.80186.00186.00180.00174.00180.000.15Determine the p-value.3.903.000.000.550.00- 1.800.00- 3.00-1,80The p-value is180.00180.00(Round to three decimal places as needed.)350.00319.00319.000.05174.00State the conclusion.0.40174.001.804.30380.00186.001.80V Ho. Thereevidence at the 0.05 level of significance that0.00350.00180.000.00At the 0.05 level of significance, determine whether each independent variable makes a contribution to the regression model.PrintDoneTest the first independent variable, viscosity. Determine the null and alternative hypotheses.Ho: B1H1: B1(Type integers or decimals. Do not round.)Determine the test statistic.tSTAT =(Round to two decimal places as needed.)Enter your answer in the edit fields and then click Check Answer. Determine the p-value.The p-value is|(Round to three decimal places as needed.)State the conclusion.Họ. ThereV evidence at the 0.05 level of significance that B,Pressureto make a contribution to the regression model.(Type an integer or a decimal. Do not round.)Test the third independent variable, plate gap. Determine the null and alternative hypotheses.Ho: Pa(Type integers or decimals. Do not round.)Determine the test statistic.ISTAT =O(Round to two decimal places as needed.)Determine the p-value.The p-value is.(Round to three decimal places as needed.)State the conclusion.V Ho. Thereevidence at the 0.05 level of significance that ßaPlate gapto make a contribution to the regression model.(Type an integer or a decimal. Do not round.)Should all three independent variables be used in the model?becausea significant contribution to the model, assuming that the regression assumptions are valid.

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xperiment was aroucks Comee Co. uses a cata-dased approach to improving qualilty and custo tears were the viscosity, pressure, and plate gap on the bag-sealing equipment. The accompanying data were collected on 18 bags in which the plate gap was varied. Develop a multiple regression model that uses the viscosity, pressure, and plate gap on the bag-sealing equipment to predict the tear rating of the bag. Do you think that you need to use three independent variables in the model? Explain. ucted to dete ractors in the bag-seain quipme that might be affecting the ease of opening the bag Without tearing the Inner lner of the bag Among the factors that could affect tne radng of the ability of tne bag to res E Click the icon to view the bag data. State the multiple regression equation that uses the viscosity. pressure, and plate gap on the bag-sealing equipment to predict the tear rating of the bag. Let X, be the viscosity, let X, be the pressure, and let Xg be the plate gap. O Bag Data (Round to three decimal places as needed.) Determine if there is a significant relationship between tear rating and the three independent variables at the 0.05 level of significance. Determine the null and alternative hypotheses. 0.00 0.00 0.45 0.85 0.35 350.00 Tear Viscosity Pressure Plate Gap O 0.00 0.00 1.80 1.80 0.00 0.00 350.00 350.00 319.00 380.00 180.00 170.00 186.00 174.00 180.00 180.00 Determine the test statistic. 0.70 400.00 350.00 350.00 0.10 319.00 0.15 380.00 350.00 380.00 350.00 350.00 319.00 319.00 380.00 1.90 190.00 180.00 186.00 186.00 180.00 174.00 180.00 180.00 174.00 174.00 FSTAT O (Round to two decimal places as needed.) 0.00 0.00 - 1.80 - 1.80 3.00 0.25 Determine the p-value. 3.90 0.00 0.55 0.00 0.05 0.40 4.30 - 1.80 0.00 - 3.00 - 1.80 1.80 1.80 0.00 The p-value is (Round to three decimal places as needed.) State the conclusion. V Ho, There | evidence at the 0.05 level of significance that 186.00 180.00 0.00 350.00 At the 0.05 level of significance, determine whether each independent variable makes a contribution to the regression model Print Done Test the first independent variable, viscosity. Determine the null and alternative hypotheses. Hg: O H: P O (Type integers or decimals. Do not round.)